The European Physical Journal C

, 74:2872

Measurement of \(\psi {(2S)} \) polarisation in \(pp\) collisions at \(\sqrt{s}\) = 7 TeV

Authors

  • The LHCb Collaboration
  • R. Aaij
    • Nikhef National Institute for Subatomic Physics
  • B. Adeva
    • Universidad de Santiago de Compostela
  • M. Adinolfi
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • A. Affolder
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • Z. Ajaltouni
    • Clermont Université, Université Blaise Pascal
  • J. Albrecht
    • Fakultät PhysikTechnische Universität Dortmund
  • F. Alessio
    • European Organization for Nuclear Research (CERN)
  • M. Alexander
    • School of Physics and AstronomyUniversity of Glasgow
  • S. Ali
    • Nikhef National Institute for Subatomic Physics
  • G. Alkhazov
    • Petersburg Nuclear Physics Institute (PNPI)
  • P. Alvarez Cartelle
    • Universidad de Santiago de Compostela
  • A. A. AlvesJr
    • Sezione INFN di Roma La Sapienza
  • S. Amato
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • S. Amerio
    • Sezione INFN di Padova
  • Y. Amhis
    • LALUniversité Paris-Sud
  • L. An
    • Center for High Energy PhysicsTsinghua University
  • L. Anderlini
    • Sezione INFN di Firenze
  • J. Anderson
    • Physik-InstitutUniversität Zürich
  • R. Andreassen
    • University of Cincinnati
  • M. Andreotti
    • Sezione INFN di Ferrara
  • J. E. Andrews
    • University of Maryland
  • R. B. Appleby
    • School of Physics and AstronomyUniversity of Manchester
  • O. Aquines Gutierrez
    • Max-Planck-Institut für Kernphysik (MPIK)
  • F. Archilli
    • European Organization for Nuclear Research (CERN)
  • A. Artamonov
    • Institute for High Energy Physics (IHEP)
  • M. Artuso
    • Syracuse University
  • E. Aslanides
    • CPPMAix-Marseille Université
  • G. Auriemma
    • Sezione INFN di Roma La Sapienza
  • M. Baalouch
    • Clermont Université, Université Blaise Pascal
  • S. Bachmann
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • J. J. Back
    • Department of PhysicsUniversity of Warwick
  • A. Badalov
    • Universitat de Barcelona
  • V. Balagura
    • Institute of Theoretical and Experimental Physics (ITEP)
  • W. Baldini
    • Sezione INFN di Ferrara
  • R. J. Barlow
    • School of Physics and AstronomyUniversity of Manchester
  • C. Barschel
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • S. Barsuk
    • LALUniversité Paris-Sud
  • W. Barter
    • Cavendish LaboratoryUniversity of Cambridge
  • V. Batozskaya
    • National Center for Nuclear Research (NCBJ)
  • Th. Bauer
    • Nikhef National Institute for Subatomic Physics
  • A. Bay
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • J. Beddow
    • School of Physics and AstronomyUniversity of Glasgow
  • F. Bedeschi
    • Sezione INFN di Pisa
  • I. Bediaga
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • S. Belogurov
    • Institute of Theoretical and Experimental Physics (ITEP)
  • K. Belous
    • Institute for High Energy Physics (IHEP)
  • I. Belyaev
    • Institute of Theoretical and Experimental Physics (ITEP)
  • E. Ben-Haim
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • G. Bencivenni
    • Laboratori Nazionali dell’INFN di Frascati
  • S. Benson
    • School of Physics and AstronomyUniversity of Edinburgh
  • J. Benton
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • A. Berezhnoy
    • Institute of Nuclear PhysicsMoscow State University (SINP MSU)
  • R. Bernet
    • Physik-InstitutUniversität Zürich
  • M.-O. Bettler
    • Cavendish LaboratoryUniversity of Cambridge
  • M. van Beuzekom
    • Nikhef National Institute for Subatomic Physics
  • A. Bien
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • S. Bifani
    • University of Birmingham
  • T. Bird
    • School of Physics and AstronomyUniversity of Manchester
  • A. Bizzeti
    • Sezione INFN di Firenze
  • P. M. Bjørnstad
    • School of Physics and AstronomyUniversity of Manchester
  • T. Blake
    • Department of PhysicsUniversity of Warwick
  • F. Blanc
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • J. Blouw
    • Max-Planck-Institut für Kernphysik (MPIK)
  • S. Blusk
    • Syracuse University
  • V. Bocci
    • Sezione INFN di Roma La Sapienza
  • A. Bondar
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
  • N. Bondar
    • Petersburg Nuclear Physics Institute (PNPI)
  • W. Bonivento
    • Sezione INFN di Cagliari
    • European Organization for Nuclear Research (CERN)
  • S. Borghi
    • School of Physics and AstronomyUniversity of Manchester
  • A. Borgia
    • Syracuse University
  • M. Borsato
    • LALUniversité Paris-Sud
  • T. J. V. Bowcock
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • E. Bowen
    • Physik-InstitutUniversität Zürich
  • C. Bozzi
    • Sezione INFN di Ferrara
  • T. Brambach
    • Fakultät PhysikTechnische Universität Dortmund
  • J. van den Brand
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • J. Bressieux
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • D. Brett
    • School of Physics and AstronomyUniversity of Manchester
  • M. Britsch
    • Max-Planck-Institut für Kernphysik (MPIK)
  • T. Britton
    • Syracuse University
  • N. H. Brook
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • H. Brown
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • A. Bursche
    • Physik-InstitutUniversität Zürich
  • G. Busetto
    • Sezione INFN di Padova
  • J. Buytaert
    • European Organization for Nuclear Research (CERN)
  • S. Cadeddu
    • Sezione INFN di Cagliari
  • R. Calabrese
    • Sezione INFN di Ferrara
  • O. Callot
    • LALUniversité Paris-Sud
  • M. Calvi
    • Sezione INFN di Milano Bicocca
  • M. Calvo Gomez
    • Universitat de Barcelona
  • A. Camboni
    • Universitat de Barcelona
  • P. Campana
    • Laboratori Nazionali dell’INFN di Frascati
    • European Organization for Nuclear Research (CERN)
  • D. Campora Perez
    • European Organization for Nuclear Research (CERN)
  • A. Carbone
    • Sezione INFN di Bologna
  • G. Carboni
    • Sezione INFN di Roma Tor Vergata
  • R. Cardinale
    • Sezione INFN di Genova
  • A. Cardini
    • Sezione INFN di Cagliari
  • H. Carranza-Mejia
    • School of Physics and AstronomyUniversity of Edinburgh
  • L. Carson
    • School of Physics and AstronomyUniversity of Edinburgh
  • K. Carvalho Akiba
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • G. Casse
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • L. Cassina
    • Sezione INFN di Milano Bicocca
  • L. Castillo Garcia
    • European Organization for Nuclear Research (CERN)
  • M. Cattaneo
    • European Organization for Nuclear Research (CERN)
  • Ch. Cauet
    • Fakultät PhysikTechnische Universität Dortmund
  • R. Cenci
    • University of Maryland
  • M. Charles
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • Ph. Charpentier
    • European Organization for Nuclear Research (CERN)
  • S.-F. Cheung
    • Department of PhysicsUniversity of Oxford
  • N. Chiapolini
    • Physik-InstitutUniversität Zürich
  • M. Chrzaszcz
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
    • Physik-InstitutUniversität Zürich
  • K. Ciba
    • European Organization for Nuclear Research (CERN)
  • X. Cid Vidal
    • European Organization for Nuclear Research (CERN)
  • G. Ciezarek
    • Imperial College London
  • P. E. L. Clarke
    • School of Physics and AstronomyUniversity of Edinburgh
  • M. Clemencic
    • European Organization for Nuclear Research (CERN)
  • H. V. Cliff
    • Cavendish LaboratoryUniversity of Cambridge
  • J. Closier
    • European Organization for Nuclear Research (CERN)
  • C. Coca
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • V. Coco
    • European Organization for Nuclear Research (CERN)
  • J. Cogan
    • CPPMAix-Marseille Université
  • E. Cogneras
    • Clermont Université, Université Blaise Pascal
  • P. Collins
    • European Organization for Nuclear Research (CERN)
  • A. Comerma-Montells
    • Universitat de Barcelona
  • A. Contu
    • Sezione INFN di Cagliari
    • European Organization for Nuclear Research (CERN)
  • A. Cook
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • M. Coombes
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • S. Coquereau
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • G. Corti
    • European Organization for Nuclear Research (CERN)
  • M. Corvo
    • Sezione INFN di Ferrara
  • I. Counts
    • Massachusetts Institute of Technology
  • B. Couturier
    • European Organization for Nuclear Research (CERN)
  • G. A. Cowan
    • School of Physics and AstronomyUniversity of Edinburgh
  • D. C. Craik
    • Department of PhysicsUniversity of Warwick
  • M. Cruz Torres
    • Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio)
  • S. Cunliffe
    • Imperial College London
  • R. Currie
    • School of Physics and AstronomyUniversity of Edinburgh
  • C. D’Ambrosio
    • European Organization for Nuclear Research (CERN)
  • J. Dalseno
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • P. David
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • P. N. Y. David
    • Nikhef National Institute for Subatomic Physics
  • A. Davis
    • University of Cincinnati
  • K. De Bruyn
    • Nikhef National Institute for Subatomic Physics
  • S. De Capua
    • School of Physics and AstronomyUniversity of Manchester
  • M. De Cian
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • J. M. De Miranda
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • L. De Paula
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • W. De Silva
    • University of Cincinnati
  • P. De Simone
    • Laboratori Nazionali dell’INFN di Frascati
  • D. Decamp
    • LAPPUniversité de Savoie
  • M. Deckenhoff
    • Fakultät PhysikTechnische Universität Dortmund
  • L. Del Buono
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • N. Déléage
    • LAPPUniversité de Savoie
  • D. Derkach
    • Department of PhysicsUniversity of Oxford
  • O. Deschamps
    • Clermont Université, Université Blaise Pascal
  • F. Dettori
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • A. Di Canto
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • H. Dijkstra
    • European Organization for Nuclear Research (CERN)
  • S. Donleavy
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • F. Dordei
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • M. Dorigo
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • A. Dosil Suárez
    • Universidad de Santiago de Compostela
  • D. Dossett
    • Department of PhysicsUniversity of Warwick
  • A. Dovbnya
    • NSC Kharkiv Institute of Physics and Technology (NSC KIPT)
  • F. Dupertuis
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • P. Durante
    • European Organization for Nuclear Research (CERN)
  • R. Dzhelyadin
    • Institute for High Energy Physics (IHEP)
  • A. Dziurda
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • A. Dzyuba
    • Petersburg Nuclear Physics Institute (PNPI)
  • S. Easo
    • STFC Rutherford Appleton Laboratory
  • U. Egede
    • Imperial College London
  • V. Egorychev
    • Institute of Theoretical and Experimental Physics (ITEP)
  • S. Eidelman
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
  • S. Eisenhardt
    • School of Physics and AstronomyUniversity of Edinburgh
  • U. Eitschberger
    • Fakultät PhysikTechnische Universität Dortmund
  • R. Ekelhof
    • Fakultät PhysikTechnische Universität Dortmund
  • L. Eklund
    • European Organization for Nuclear Research (CERN)
    • School of Physics and AstronomyUniversity of Glasgow
  • I. El Rifai
    • Clermont Université, Université Blaise Pascal
  • Ch. Elsasser
    • Physik-InstitutUniversität Zürich
  • S. Esen
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • T. Evans
    • Department of PhysicsUniversity of Oxford
  • A. Falabella
    • Sezione INFN di Ferrara
  • C. Färber
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • C. Farinelli
    • Nikhef National Institute for Subatomic Physics
  • S. Farry
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • D. Ferguson
    • School of Physics and AstronomyUniversity of Edinburgh
  • V. Fernandez Albor
    • Universidad de Santiago de Compostela
  • F. Ferreira Rodrigues
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • M. Ferro-Luzzi
    • European Organization for Nuclear Research (CERN)
  • S. Filippov
    • Institute for Nuclear Research of the Russian Academy of Sciences (INR RAN)
  • M. Fiore
    • Sezione INFN di Ferrara
  • M. Fiorini
    • Sezione INFN di Ferrara
  • M. Firlej
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • C. Fitzpatrick
    • European Organization for Nuclear Research (CERN)
  • T. Fiutowski
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • M. Fontana
    • Max-Planck-Institut für Kernphysik (MPIK)
  • F. Fontanelli
    • Sezione INFN di Genova
  • R. Forty
    • European Organization for Nuclear Research (CERN)
  • O. Francisco
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • M. Frank
    • European Organization for Nuclear Research (CERN)
  • C. Frei
    • European Organization for Nuclear Research (CERN)
  • M. Frosini
    • Sezione INFN di Firenze
    • European Organization for Nuclear Research (CERN)
  • J. Fu
    • Sezione INFN di Milano
  • E. Furfaro
    • Sezione INFN di Roma Tor Vergata
  • A. Gallas Torreira
    • Universidad de Santiago de Compostela
  • D. Galli
    • Sezione INFN di Bologna
  • M. Gandelman
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • P. Gandini
    • Syracuse University
  • Y. Gao
    • Center for High Energy PhysicsTsinghua University
  • J. Garofoli
    • Syracuse University
  • J. Garra Tico
    • Cavendish LaboratoryUniversity of Cambridge
  • L. Garrido
    • Universitat de Barcelona
  • C. Gaspar
    • European Organization for Nuclear Research (CERN)
  • R. Gauld
    • Department of PhysicsUniversity of Oxford
  • L. Gavardi
    • Fakultät PhysikTechnische Universität Dortmund
  • E. Gersabeck
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • M. Gersabeck
    • School of Physics and AstronomyUniversity of Manchester
  • T. Gershon
    • Department of PhysicsUniversity of Warwick
  • Ph. Ghez
    • LAPPUniversité de Savoie
  • A. Gianelle
    • Sezione INFN di Padova
  • S. Giani
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • V. Gibson
    • Cavendish LaboratoryUniversity of Cambridge
  • L. Giubega
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • V. V. Gligorov
    • European Organization for Nuclear Research (CERN)
  • C. Göbel
    • Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio)
  • D. Golubkov
    • Institute of Theoretical and Experimental Physics (ITEP)
  • A. Golutvin
    • Institute of Theoretical and Experimental Physics (ITEP)
    • European Organization for Nuclear Research (CERN)
    • Imperial College London
  • A. Gomes
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • H. Gordon
    • European Organization for Nuclear Research (CERN)
  • C. Gotti
    • Sezione INFN di Milano Bicocca
  • M. Grabalosa Gándara
    • Clermont Université, Université Blaise Pascal
  • R. Graciani Diaz
    • Universitat de Barcelona
  • L. A. Granado Cardoso
    • European Organization for Nuclear Research (CERN)
  • E. Graugés
    • Universitat de Barcelona
  • G. Graziani
    • Sezione INFN di Firenze
  • A. Grecu
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • E. Greening
    • Department of PhysicsUniversity of Oxford
  • S. Gregson
    • Cavendish LaboratoryUniversity of Cambridge
  • P. Griffith
    • University of Birmingham
  • L. Grillo
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • O. Grünberg
    • Institut für PhysikUniversität Rostock
  • B. Gui
    • Syracuse University
  • E. Gushchin
    • Institute for Nuclear Research of the Russian Academy of Sciences (INR RAN)
  • Yu. Guz
    • Institute for High Energy Physics (IHEP)
    • European Organization for Nuclear Research (CERN)
  • T. Gys
    • European Organization for Nuclear Research (CERN)
  • C. Hadjivasiliou
    • Syracuse University
  • G. Haefeli
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • C. Haen
    • European Organization for Nuclear Research (CERN)
  • S. C. Haines
    • Cavendish LaboratoryUniversity of Cambridge
  • S. Hall
    • Imperial College London
  • B. Hamilton
    • University of Maryland
  • T. Hampson
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • X. Han
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • S. Hansmann-Menzemer
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • N. Harnew
    • Department of PhysicsUniversity of Oxford
  • S. T. Harnew
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • J. Harrison
    • School of Physics and AstronomyUniversity of Manchester
  • T. Hartmann
    • Institut für PhysikUniversität Rostock
  • J. He
    • European Organization for Nuclear Research (CERN)
  • T. Head
    • European Organization for Nuclear Research (CERN)
  • V. Heijne
    • Nikhef National Institute for Subatomic Physics
  • K. Hennessy
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • P. Henrard
    • Clermont Université, Université Blaise Pascal
  • L. Henry
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • J. A. Hernando Morata
    • Universidad de Santiago de Compostela
  • E. van Herwijnen
    • European Organization for Nuclear Research (CERN)
  • M. Heß
    • Institut für PhysikUniversität Rostock
  • A. Hicheur
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • D. Hill
    • Department of PhysicsUniversity of Oxford
  • M. Hoballah
    • Clermont Université, Université Blaise Pascal
  • C. Hombach
    • School of Physics and AstronomyUniversity of Manchester
  • W. Hulsbergen
    • Nikhef National Institute for Subatomic Physics
  • P. Hunt
    • Department of PhysicsUniversity of Oxford
  • N. Hussain
    • Department of PhysicsUniversity of Oxford
  • D. Hutchcroft
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • D. Hynds
    • School of Physics and AstronomyUniversity of Glasgow
  • V. Iakovenko
    • Institute for Nuclear Research of the National Academy of Sciences (KINR)
  • M. Idzik
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • P. Ilten
    • Massachusetts Institute of Technology
  • R. Jacobsson
    • European Organization for Nuclear Research (CERN)
  • A. Jaeger
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • J. Jalocha
    • Department of PhysicsUniversity of Oxford
  • E. Jans
    • Nikhef National Institute for Subatomic Physics
  • P. Jaton
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • A. Jawahery
    • University of Maryland
  • M. Jezabek
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • F. Jing
    • Center for High Energy PhysicsTsinghua University
  • M. John
    • Department of PhysicsUniversity of Oxford
  • D. Johnson
    • Department of PhysicsUniversity of Oxford
  • C. R. Jones
    • Cavendish LaboratoryUniversity of Cambridge
  • C. Joram
    • European Organization for Nuclear Research (CERN)
  • B. Jost
    • European Organization for Nuclear Research (CERN)
  • N. Jurik
    • Syracuse University
  • M. Kaballo
    • Fakultät PhysikTechnische Universität Dortmund
  • S. Kandybei
    • NSC Kharkiv Institute of Physics and Technology (NSC KIPT)
  • W. Kanso
    • CPPMAix-Marseille Université
  • M. Karacson
    • European Organization for Nuclear Research (CERN)
  • T. M. Karbach
    • European Organization for Nuclear Research (CERN)
  • M. Kelsey
    • Syracuse University
  • I. R. Kenyon
    • University of Birmingham
  • T. Ketel
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • B. Khanji
    • Sezione INFN di Milano Bicocca
  • C. Khurewathanakul
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • S. Klaver
    • School of Physics and AstronomyUniversity of Manchester
  • O. Kochebina
    • LALUniversité Paris-Sud
  • M. Kolpin
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • I. Komarov
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • R. F. Koopman
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • P. Koppenburg
    • Nikhef National Institute for Subatomic Physics
  • M. Korolev
    • Institute of Nuclear PhysicsMoscow State University (SINP MSU)
  • A. Kozlinskiy
    • Nikhef National Institute for Subatomic Physics
  • L. Kravchuk
    • Institute for Nuclear Research of the Russian Academy of Sciences (INR RAN)
  • K. Kreplin
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • M. Kreps
    • Department of PhysicsUniversity of Warwick
  • G. Krocker
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • P. Krokovny
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
  • F. Kruse
    • Fakultät PhysikTechnische Universität Dortmund
  • M. Kucharczyk
    • Sezione INFN di Milano Bicocca
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
    • European Organization for Nuclear Research (CERN)
  • V. Kudryavtsev
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
  • K. Kurek
    • National Center for Nuclear Research (NCBJ)
  • T. Kvaratskheliya
    • Institute of Theoretical and Experimental Physics (ITEP)
    • European Organization for Nuclear Research (CERN)
  • V. N. La Thi
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • D. Lacarrere
    • European Organization for Nuclear Research (CERN)
  • G. Lafferty
    • School of Physics and AstronomyUniversity of Manchester
  • A. Lai
    • Sezione INFN di Cagliari
  • D. Lambert
    • School of Physics and AstronomyUniversity of Edinburgh
  • R. W. Lambert
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • E. Lanciotti
    • European Organization for Nuclear Research (CERN)
  • G. Lanfranchi
    • Laboratori Nazionali dell’INFN di Frascati
  • C. Langenbruch
    • European Organization for Nuclear Research (CERN)
  • T. Latham
    • Department of PhysicsUniversity of Warwick
  • C. Lazzeroni
    • University of Birmingham
  • R. Le Gac
    • CPPMAix-Marseille Université
  • J. van Leerdam
    • Nikhef National Institute for Subatomic Physics
  • J.-P. Lees
    • LAPPUniversité de Savoie
  • R. Lefèvre
    • Clermont Université, Université Blaise Pascal
  • A. Leflat
    • Institute of Nuclear PhysicsMoscow State University (SINP MSU)
  • J. Lefrançois
    • LALUniversité Paris-Sud
  • S. Leo
    • Sezione INFN di Pisa
  • O. Leroy
    • CPPMAix-Marseille Université
  • T. Lesiak
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • B. Leverington
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • Y. Li
    • Center for High Energy PhysicsTsinghua University
  • M. Liles
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • R. Lindner
    • European Organization for Nuclear Research (CERN)
  • C. Linn
    • European Organization for Nuclear Research (CERN)
  • F. Lionetto
    • Physik-InstitutUniversität Zürich
  • B. Liu
    • Sezione INFN di Cagliari
  • G. Liu
    • European Organization for Nuclear Research (CERN)
  • S. Lohn
    • European Organization for Nuclear Research (CERN)
  • I. Longstaff
    • School of Physics and AstronomyUniversity of Glasgow
  • I. Longstaff
    • School of Physics and AstronomyUniversity of Glasgow
  • J. H. Lopes
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • N. Lopez-March
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • P. Lowdon
    • Physik-InstitutUniversität Zürich
  • H. Lu
    • Center for High Energy PhysicsTsinghua University
  • D. Lucchesi
    • Sezione INFN di Padova
  • J. Luisier
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • H. Luo
    • School of Physics and AstronomyUniversity of Edinburgh
  • A. Lupato
    • Sezione INFN di Padova
  • E. Luppi
    • Sezione INFN di Ferrara
  • O. Lupton
    • Department of PhysicsUniversity of Oxford
  • F. Machefert
    • LALUniversité Paris-Sud
  • I. V. Machikhiliyan
    • Institute of Theoretical and Experimental Physics (ITEP)
  • F. Maciuc
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • O. Maev
    • Petersburg Nuclear Physics Institute (PNPI)
    • European Organization for Nuclear Research (CERN)
  • S. Malde
    • Department of PhysicsUniversity of Oxford
  • G. Manca
    • Sezione INFN di Cagliari
  • G. Mancinelli
    • CPPMAix-Marseille Université
  • M. Manzali
    • Sezione INFN di Ferrara
  • J. Maratas
    • Clermont Université, Université Blaise Pascal
  • J. F. Marchand
    • LAPPUniversité de Savoie
  • U. Marconi
    • Sezione INFN di Bologna
  • P. Marino
    • Sezione INFN di Pisa
  • R. Märki
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • J. Marks
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • G. Martellotti
    • Sezione INFN di Roma La Sapienza
  • A. Martens
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • A. Martín Sánchez
    • LALUniversité Paris-Sud
  • M. Martinelli
    • Nikhef National Institute for Subatomic Physics
  • D. Martinez Santos
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • F. Martinez Vidal
    • Instituto de Fisica Corpuscular (IFIC)Universitat de Valencia-CSIC
  • D. Martins Tostes
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • A. Massafferri
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • R. Matev
    • European Organization for Nuclear Research (CERN)
  • Z. Mathe
    • European Organization for Nuclear Research (CERN)
  • C. Matteuzzi
    • Sezione INFN di Milano Bicocca
  • A. Mazurov
    • Sezione INFN di Ferrara
    • European Organization for Nuclear Research (CERN)
  • M. McCann
    • Imperial College London
  • J. McCarthy
    • University of Birmingham
  • A. McNab
    • School of Physics and AstronomyUniversity of Manchester
  • R. McNulty
    • School of PhysicsUniversity College Dublin
  • B. McSkelly
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • B. Meadows
    • Department of PhysicsUniversity of Oxford
    • University of Cincinnati
  • F. Meier
    • Fakultät PhysikTechnische Universität Dortmund
  • M. Meissner
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • M. Merk
    • Nikhef National Institute for Subatomic Physics
  • D. A. Milanes
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • M.-N. Minard
    • LAPPUniversité de Savoie
  • J. Molina Rodriguez
    • Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio)
  • S. Monteil
    • Clermont Université, Université Blaise Pascal
  • D. Moran
    • School of Physics and AstronomyUniversity of Manchester
  • M. Morandin
    • Sezione INFN di Padova
  • P. Morawski
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • A. Mordà
    • CPPMAix-Marseille Université
  • M. J. Morello
    • Sezione INFN di Pisa
  • J. Moron
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • R. Mountain
    • Syracuse University
  • F. Muheim
    • School of Physics and AstronomyUniversity of Edinburgh
  • K. Müller
    • Physik-InstitutUniversität Zürich
  • R. Muresan
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • B. Muster
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • P. Naik
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • T. Nakada
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • R. Nandakumar
    • STFC Rutherford Appleton Laboratory
  • I. Nasteva
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • M. Needham
    • School of Physics and AstronomyUniversity of Edinburgh
  • N. Neri
    • Sezione INFN di Milano
  • S. Neubert
    • European Organization for Nuclear Research (CERN)
  • N. Neufeld
    • European Organization for Nuclear Research (CERN)
  • M. Neuner
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • A. D. Nguyen
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • T. D. Nguyen
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • C. Nguyen-Mau
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • M. Nicol
    • LALUniversité Paris-Sud
  • V. Niess
    • Clermont Université, Université Blaise Pascal
  • R. Niet
    • Fakultät PhysikTechnische Universität Dortmund
  • N. Nikitin
    • Institute of Nuclear PhysicsMoscow State University (SINP MSU)
  • T. Nikodem
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • A. Novoselov
    • Institute for High Energy Physics (IHEP)
  • A. Oblakowska-Mucha
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • V. Obraztsov
    • Institute for High Energy Physics (IHEP)
  • S. Oggero
    • Nikhef National Institute for Subatomic Physics
  • S. Ogilvy
    • School of Physics and AstronomyUniversity of Glasgow
  • O. Okhrimenko
    • Institute for Nuclear Research of the National Academy of Sciences (KINR)
  • R. Oldeman
    • Sezione INFN di Cagliari
  • G. Onderwater
    • KVIUniversity of Groningen
  • M. Orlandea
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • J. M. Otalora Goicochea
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • P. Owen
    • Imperial College London
  • A. Oyanguren
    • Instituto de Fisica Corpuscular (IFIC)Universitat de Valencia-CSIC
  • B. K. Pal
    • Syracuse University
  • A. Palano
    • Sezione INFN di Bari
  • F. Palombo
    • Sezione INFN di Milano
  • M. Palutan
    • Laboratori Nazionali dell’INFN di Frascati
  • J. Panman
    • European Organization for Nuclear Research (CERN)
  • A. Papanestis
    • European Organization for Nuclear Research (CERN)
    • STFC Rutherford Appleton Laboratory
  • M. Pappagallo
    • School of Physics and AstronomyUniversity of Glasgow
  • C. Parkes
    • School of Physics and AstronomyUniversity of Manchester
  • C. J. Parkinson
    • Fakultät PhysikTechnische Universität Dortmund
  • G. Passaleva
    • Sezione INFN di Firenze
  • G. D. Patel
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • M. Patel
    • Imperial College London
  • C. Patrignani
    • Sezione INFN di Genova
  • A. Pazos Alvarez
    • Universidad de Santiago de Compostela
  • A. Pearce
    • School of Physics and AstronomyUniversity of Manchester
  • A. Pellegrino
    • Nikhef National Institute for Subatomic Physics
  • G. Penso
    • Sezione INFN di Roma La Sapienza
  • M. Pepe Altarelli
    • European Organization for Nuclear Research (CERN)
  • S. Perazzini
    • Sezione INFN di Bologna
  • E. Perez Trigo
    • Universidad de Santiago de Compostela
  • P. Perret
    • Clermont Université, Université Blaise Pascal
  • M. Perrin-Terrin
    • CPPMAix-Marseille Université
  • L. Pescatore
    • University of Birmingham
  • E. Pesen
    • Celal Bayar University
  • K. Petridis
    • Imperial College London
  • A. Petrolini
    • Sezione INFN di Genova
  • E. Picatoste Olloqui
    • Universitat de Barcelona
  • B. Pietrzyk
    • LAPPUniversité de Savoie
  • T. Pilař
    • Department of PhysicsUniversity of Warwick
  • D. Pinci
    • Sezione INFN di Roma La Sapienza
  • A. Pistone
    • Sezione INFN di Genova
  • S. Playfer
    • School of Physics and AstronomyUniversity of Edinburgh
  • M. Plo Casasus
    • Universidad de Santiago de Compostela
  • F. Polci
    • LPNHEUniversité Pierre et Marie Curie, Université Paris Diderot
  • G. Polok
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • A. Poluektov
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
    • Department of PhysicsUniversity of Warwick
  • E. Polycarpo
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • A. Popov
    • Institute for High Energy Physics (IHEP)
  • D. Popov
    • Max-Planck-Institut für Kernphysik (MPIK)
  • B. Popovici
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • C. Potterat
    • Universitat de Barcelona
  • A. Powell
    • Department of PhysicsUniversity of Oxford
  • J. Prisciandaro
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • A. Pritchard
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • C. Prouve
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • V. Pugatch
    • Institute for Nuclear Research of the National Academy of Sciences (KINR)
  • A. Puig Navarro
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • G. Punzi
    • Sezione INFN di Pisa
  • W. Qian
    • LAPPUniversité de Savoie
  • B. Rachwal
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • J. H. Rademacker
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • B. Rakotomiaramanana
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • M. Rama
    • Laboratori Nazionali dell’INFN di Frascati
  • M. S. Rangel
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • I. Raniuk
    • NSC Kharkiv Institute of Physics and Technology (NSC KIPT)
  • N. Rauschmayr
    • European Organization for Nuclear Research (CERN)
  • G. Raven
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • S. Redford
    • Department of PhysicsUniversity of Oxford
  • S. Reichert
    • School of Physics and AstronomyUniversity of Manchester
  • M. M. Reid
    • Department of PhysicsUniversity of Warwick
  • A. C. dos Reis
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • S. Ricciardi
    • STFC Rutherford Appleton Laboratory
  • A. Richards
    • Imperial College London
  • K. Rinnert
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • V. Rives Molina
    • Universitat de Barcelona
  • D. A. Roa Romero
    • Clermont Université, Université Blaise Pascal
  • P. Robbe
    • LALUniversité Paris-Sud
  • A. B. Rodrigues
    • Centro Brasileiro de Pesquisas Físicas (CBPF)
  • E. Rodrigues
    • School of Physics and AstronomyUniversity of Manchester
  • P. Rodriguez Perez
    • School of Physics and AstronomyUniversity of Manchester
  • S. Roiser
    • European Organization for Nuclear Research (CERN)
  • V. Romanovsky
    • Institute for High Energy Physics (IHEP)
  • A. Romero Vidal
    • Universidad de Santiago de Compostela
  • M. Rotondo
    • Sezione INFN di Padova
  • J. Rouvinet
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • T. Ruf
    • European Organization for Nuclear Research (CERN)
  • F. Ruffini
    • Sezione INFN di Pisa
  • H. Ruiz
    • Universitat de Barcelona
  • P. Ruiz Valls
    • Instituto de Fisica Corpuscular (IFIC)Universitat de Valencia-CSIC
  • G. Sabatino
    • Sezione INFN di Roma La Sapienza
  • J. J. Saborido Silva
    • Universidad de Santiago de Compostela
  • N. Sagidova
    • Petersburg Nuclear Physics Institute (PNPI)
  • P. Sail
    • School of Physics and AstronomyUniversity of Glasgow
  • B. Saitta
    • Sezione INFN di Cagliari
  • V. Salustino Guimaraes
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • C. Sanchez Mayordomo
    • Instituto de Fisica Corpuscular (IFIC)Universitat de Valencia-CSIC
  • B. Sanmartin Sedes
    • Universidad de Santiago de Compostela
  • R. Santacesaria
    • Sezione INFN di Roma La Sapienza
  • C. Santamarina Rios
    • Universidad de Santiago de Compostela
  • E. Santovetti
    • Sezione INFN di Roma Tor Vergata
  • M. Sapunov
    • CPPMAix-Marseille Université
  • A. Sarti
    • Laboratori Nazionali dell’INFN di Frascati
  • C. Satriano
    • Sezione INFN di Roma La Sapienza
  • A. Satta
    • Sezione INFN di Roma Tor Vergata
  • M. Savrie
    • Sezione INFN di Ferrara
  • D. Savrina
    • Institute of Theoretical and Experimental Physics (ITEP)
    • Institute of Nuclear PhysicsMoscow State University (SINP MSU)
  • M. Schiller
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • H. Schindler
    • European Organization for Nuclear Research (CERN)
  • M. Schlupp
    • Fakultät PhysikTechnische Universität Dortmund
  • M. Schmelling
    • Max-Planck-Institut für Kernphysik (MPIK)
  • B. Schmidt
    • European Organization for Nuclear Research (CERN)
  • O. Schneider
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • A. Schopper
    • European Organization for Nuclear Research (CERN)
  • M.-H. Schune
    • LALUniversité Paris-Sud
  • R. Schwemmer
    • European Organization for Nuclear Research (CERN)
  • B. Sciascia
    • Laboratori Nazionali dell’INFN di Frascati
  • A. Sciubba
    • Sezione INFN di Roma La Sapienza
  • M. Seco
    • Universidad de Santiago de Compostela
  • A. Semennikov
    • Institute of Theoretical and Experimental Physics (ITEP)
  • K. Senderowska
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • I. Sepp
    • Imperial College London
  • N. Serra
    • Physik-InstitutUniversität Zürich
  • J. Serrano
    • CPPMAix-Marseille Université
  • L. Sestini
    • Sezione INFN di Padova
  • P. Seyfert
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • M. Shapkin
    • Institute for High Energy Physics (IHEP)
  • I. Shapoval
    • Sezione INFN di Ferrara
    • NSC Kharkiv Institute of Physics and Technology (NSC KIPT)
  • Y. Shcheglov
    • Petersburg Nuclear Physics Institute (PNPI)
  • T. Shears
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • L. Shekhtman
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
  • V. Shevchenko
    • National Research Centre Kurchatov Institute
  • A. Shires
    • Fakultät PhysikTechnische Universität Dortmund
  • R. Silva Coutinho
    • Department of PhysicsUniversity of Warwick
  • G. Simi
    • Sezione INFN di Padova
  • M. Sirendi
    • Cavendish LaboratoryUniversity of Cambridge
  • N. Skidmore
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • T. Skwarnicki
    • Syracuse University
  • N. A. Smith
    • Oliver Lodge LaboratoryUniversity of Liverpool
  • E. Smith
    • STFC Rutherford Appleton Laboratory
    • Department of PhysicsUniversity of Oxford
  • E. Smith
    • Imperial College London
  • J. Smith
    • Cavendish LaboratoryUniversity of Cambridge
  • M. Smith
    • School of Physics and AstronomyUniversity of Manchester
  • H. Snoek
    • Nikhef National Institute for Subatomic Physics
  • M. D. Sokoloff
    • University of Cincinnati
  • F. J. P. Soler
    • School of Physics and AstronomyUniversity of Glasgow
  • F. Soomro
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • D. Souza
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • B. Souza De Paula
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • B. Spaan
    • Fakultät PhysikTechnische Universität Dortmund
  • A. Sparkes
    • School of Physics and AstronomyUniversity of Edinburgh
  • F. Spinella
    • Sezione INFN di Pisa
  • P. Spradlin
    • School of Physics and AstronomyUniversity of Glasgow
  • F. Stagni
    • European Organization for Nuclear Research (CERN)
  • S. Stahl
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • O. Steinkamp
    • Physik-InstitutUniversität Zürich
  • O. Stenyakin
    • Institute for High Energy Physics (IHEP)
  • S. Stevenson
    • Department of PhysicsUniversity of Oxford
  • S. Stoica
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • S. Stone
    • Syracuse University
  • B. Storaci
    • Physik-InstitutUniversität Zürich
  • S. Stracka
    • Sezione INFN di Pisa
    • European Organization for Nuclear Research (CERN)
  • M. Straticiuc
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • U. Straumann
    • Physik-InstitutUniversität Zürich
  • R. Stroili
    • Sezione INFN di Padova
  • V. K. Subbiah
    • European Organization for Nuclear Research (CERN)
  • L. Sun
    • University of Cincinnati
  • W. Sutcliffe
    • Imperial College London
  • K. Swientek
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • S. Swientek
    • Fakultät PhysikTechnische Universität Dortmund
  • V. Syropoulos
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • M. Szczekowski
    • National Center for Nuclear Research (NCBJ)
  • P. Szczypka
    • European Organization for Nuclear Research (CERN)
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • D. Szilard
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • T. Szumlak
    • Faculty of Physics and Applied Computer ScienceAGH-University of Science and Technology
  • S. T’Jampens
    • LAPPUniversité de Savoie
  • M. Teklishyn
    • LALUniversité Paris-Sud
  • G. Tellarini
    • Sezione INFN di Ferrara
  • E. Teodorescu
    • Horia Hulubei National Institute of Physics and Nuclear Engineering
  • F. Teubert
    • European Organization for Nuclear Research (CERN)
  • C. Thomas
    • Department of PhysicsUniversity of Oxford
  • E. Thomas
    • European Organization for Nuclear Research (CERN)
  • J. van Tilburg
    • Nikhef National Institute for Subatomic Physics
  • V. Tisserand
    • LAPPUniversité de Savoie
  • M. Tobin
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • S. Tolk
    • Nikhef National Institute for Subatomic PhysicsVU University Amsterdam
  • L. Tomassetti
    • Sezione INFN di Ferrara
  • D. Tonelli
    • European Organization for Nuclear Research (CERN)
  • S. Topp-Joergensen
    • Department of PhysicsUniversity of Oxford
  • N. Torr
    • Department of PhysicsUniversity of Oxford
  • E. Tournefier
    • LAPPUniversité de Savoie
  • S. Tourneur
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • M. T. Tran
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • M. Tresch
    • Physik-InstitutUniversität Zürich
  • A. Tsaregorodtsev
    • CPPMAix-Marseille Université
  • P. Tsopelas
    • Nikhef National Institute for Subatomic Physics
  • N. Tuning
    • Nikhef National Institute for Subatomic Physics
  • M. Ubeda Garcia
    • European Organization for Nuclear Research (CERN)
  • A. Ukleja
    • National Center for Nuclear Research (NCBJ)
  • A. Ustyuzhanin
    • National Research Centre Kurchatov Institute
  • U. Uwer
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • V. Vagnoni
    • Sezione INFN di Bologna
  • G. Valenti
    • Sezione INFN di Bologna
  • A. Vallier
    • LALUniversité Paris-Sud
  • R. Vazquez Gomez
    • Laboratori Nazionali dell’INFN di Frascati
  • P. Vazquez Regueiro
    • Universidad de Santiago de Compostela
  • C. Vázquez Sierra
    • Universidad de Santiago de Compostela
  • S. Vecchi
    • Sezione INFN di Ferrara
  • J. J. Velthuis
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • M. Veltri
    • Sezione INFN di Firenze
  • G. Veneziano
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • M. Vesterinen
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • B. Viaud
    • LALUniversité Paris-Sud
  • D. Vieira
    • Universidade Federal do Rio de Janeiro (UFRJ)
  • M. Vieites Diaz
    • Universidad de Santiago de Compostela
  • X. Vilasis-Cardona
    • Universitat de Barcelona
  • A. Vollhardt
    • Physik-InstitutUniversität Zürich
  • D. Volyanskyy
    • Max-Planck-Institut für Kernphysik (MPIK)
  • D. Voong
    • H.H. Wills Physics LaboratoryUniversity of Bristol
  • A. Vorobyev
    • Petersburg Nuclear Physics Institute (PNPI)
  • V. Vorobyev
    • Budker Institute of Nuclear Physics (SB RAS)Novosibirsk State University
  • C. Voß
    • Institut für PhysikUniversität Rostock
  • H. Voss
    • Max-Planck-Institut für Kernphysik (MPIK)
  • J. A. de Vries
    • Nikhef National Institute for Subatomic Physics
  • R. Waldi
    • Institut für PhysikUniversität Rostock
  • C. Wallace
    • Department of PhysicsUniversity of Warwick
  • R. Wallace
    • School of PhysicsUniversity College Dublin
  • J. Walsh
    • Sezione INFN di Pisa
  • S. Wandernoth
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • J. Wang
    • Syracuse University
  • D. R. Ward
    • Cavendish LaboratoryUniversity of Cambridge
  • N. K. Watson
    • University of Birmingham
  • A. D. Webber
    • School of Physics and AstronomyUniversity of Manchester
  • D. Websdale
    • Imperial College London
  • M. Whitehead
    • Department of PhysicsUniversity of Warwick
  • J. Wicht
    • European Organization for Nuclear Research (CERN)
  • D. Wiedner
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • L. Wiggers
    • Nikhef National Institute for Subatomic Physics
  • G. Wilkinson
    • Department of PhysicsUniversity of Oxford
  • M. P. Williams
    • University of Birmingham
  • M. Williams
    • Massachusetts Institute of Technology
  • F. F. Wilson
    • STFC Rutherford Appleton Laboratory
  • J. Wimberley
    • University of Maryland
  • J. Wishahi
    • Fakultät PhysikTechnische Universität Dortmund
  • W. Wislicki
    • National Center for Nuclear Research (NCBJ)
  • M. Witek
    • Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences
  • G. Wormser
    • LALUniversité Paris-Sud
  • S. A. Wotton
    • Cavendish LaboratoryUniversity of Cambridge
  • S. Wright
    • Cavendish LaboratoryUniversity of Cambridge
  • S. Wu
    • Center for High Energy PhysicsTsinghua University
  • K. Wyllie
    • European Organization for Nuclear Research (CERN)
  • Y. Xie
    • Institute of Particle PhysicsCentral China Normal University
  • Z. Xing
    • Syracuse University
  • Z. Xu
    • Ecole Polytechnique Fédérale de Lausanne (EPFL)
  • Z. Yang
    • Center for High Energy PhysicsTsinghua University
  • X. Yuan
    • Center for High Energy PhysicsTsinghua University
  • O. Yushchenko
    • Institute for High Energy Physics (IHEP)
  • M. Zangoli
    • Sezione INFN di Bologna
  • M. Zavertyaev
    • Max-Planck-Institut für Kernphysik (MPIK)
  • F. Zhang
    • Center for High Energy PhysicsTsinghua University
  • L. Zhang
    • Syracuse University
  • W. C. Zhang
    • School of PhysicsUniversity College Dublin
    • Center for High Energy PhysicsTsinghua University
  • A. Zhelezov
    • Physikalisches InstitutRuprecht-Karls-Universität Heidelberg
  • A. Zhokhov
    • Institute of Theoretical and Experimental Physics (ITEP)
  • L. Zhong
    • Center for High Energy PhysicsTsinghua University
  • A. Zvyagin
    • European Organization for Nuclear Research (CERN)
Open AccessRegular Article - Experimental Physics

DOI: 10.1140/epjc/s10052-014-2872-9

Cite this article as:
The LHCb Collaboration, Aaij, R., Adeva, B. et al. Eur. Phys. J. C (2014) 74: 2872. doi:10.1140/epjc/s10052-014-2872-9

Abstract

The polarisation of prompt \(\psi {(2S)} \) mesons is measured by performing an angular analysis of \(\psi {(2S)} \!\rightarrow \mu ^+\mu ^- \) decays using proton-proton collision data, corresponding to an integrated luminosity of 1.0\(\,\text{ fb }^{-1} \), collected by the LHCb detector at a centre-of-mass energy of 7 TeV. The polarisation is measured in bins of transverse momentum \(p_\mathrm{T} \) and rapidity \(y\) in the kinematic region \(3.5< p_\mathrm{T} <15{\mathrm {\,GeV\!/}c} \) and \(2.0<y<4.5\), and is compared to theoretical models. No significant polarisation is observed.

1 Introduction

Measurements of the heavy quarkonium production in hadron collisions can be used to test predictions of quantum chromodynamics (QCD) in the perturbative and non-perturbative regimes. Several theoretical models have been developed within the framework of QCD to describe the quarkonium production cross-section and polarisation as functions of the quarkonium transverse momentum, \(p_\mathrm{T}\), but none can simultaneously describe both of them [1]. Heavy quarkonia can be produced in three ways in \(pp\) collisions: directly in the hard scattering, through feed-down from higher-mass quarkonia states, or via the decay of \(b\) hadrons, with the first two of these being referred to as prompt production. In the case of \(\psi {(2S)} \) mesons, the contribution from feed-down is negligible, allowing a straightforward comparison between measurements of prompt production and predictions for direct contributions.

The \(\psi {(2S)} \) meson has spin, parity and charge-parity quantum numbers, \(J^{\mathrm {PC}}=1^{--}\) and its polarisation can be determined by studying the angular distribution of muons in the \(\psi {(2S)} \!\rightarrow \mu ^+ \mu ^- \) decays [2, 3]. The distribution is described by
$$\begin{aligned} \frac{d^2N}{d\cos \theta \;d\phi }(\lambda _\theta ,\lambda _{\theta \phi },\lambda _\phi ) \propto 1+\lambda _\theta \cos ^2\!\theta \nonumber \\ + \lambda _{\theta \phi }\sin 2\theta \cos \phi + \lambda _\phi \sin ^2\!\theta \cos 2\phi , \end{aligned}$$
(1)
where \(\theta \) and \(\phi \) are the polar and azimuthal angles of the \(\mu ^+ \) direction in the rest frame of the \(\psi {(2S)} \) meson, respectively, and \(\lambda _\theta ,\lambda _{\theta \phi }\) and \(\lambda _\phi \) are the polarisation parameters to be determined from the data. The case of \((\lambda _{\theta }, \lambda _{\theta \phi }, \lambda _{\phi } ) = (1,\,0,\,0)\) or \((-1\,,0,\,0)\) corresponds to full transverse or longitudinal polarisation, respectively, while \((\lambda _\theta ,\lambda _{\theta \phi },\lambda _\phi )=(0,\,0,\,0)\) corresponds to the unpolarised state.1 In this study of the \(\psi {(2S)} \) polarisation, two choices of polarisation frame are used. These have a common definition of the \(Y\)-axis, taken to be the normal to the production plane, which is formed by the momentum of the \(\psi {(2S)} \) meson and the beam axis in the rest frame of the colliding LHC protons. The helicity frame [4] uses the \(\psi {(2S)} \) momentum as the \(Z\)-axis. In the Collins-Soper frame [5] the \(Z\)-axis is chosen to be the bisector of the angle between the two incoming proton beams in the rest frame of the \(\psi {(2S)} \) meson. In both frames, the \(X\)-axis is defined to complete a right-handed Cartesian coordinate system. The commonly used frame-invariant variable \(\lambda _\mathrm {inv}\) (see [6, 7]) is defined as
$$\begin{aligned} \lambda _{\mathrm {inv}} = \frac{\lambda _\theta +3\lambda _\phi }{1-\lambda _\phi }. \end{aligned}$$
(2)
Two classes of theoretical models are compared with the measurements in this paper: the colour-singlet model (CSM) [8] and non-relativistic QCD (NRQCD) [914], at next-to-leading order (NLO). In the high-\(p_\mathrm{T}\) region, where the quarkonium transverse momentum is much larger than its mass (in natural units), the CSM underestimates significantly the measured prompt \({J /\psi }\) and \(\psi {(2S)}\) production cross-sections [1517], while the NRQCD model provides a good description of the \(p_\mathrm{T}\)-dependent \({J /\psi }\) and \(\psi {(2S)}\) cross-sections measured by LHCb  [16, 17] and CMS  [18]. The CSM predicts large longitudinal polarisation for \({J /\psi }\) and \(\psi {(2S)}\) mesons. On the other hand, in the NRQCD model, where quarkonium production is dominated by the gluon fragmentation process in the high-\(p_\mathrm{T}\) region, the gluon is almost on-shell, leading to predictions of large transverse polarisations [11]. Precise measurements of the \({J /\psi }\) polarisation at both the Tevatron [19] and the LHC [2022], which show no significant longitudinal or transverse polarisations, do not support either the CSM or NRQCD predictions.

The prompt \(\psi {(2S)}\) polarisation has been measured by the CDF experiment [19] in \(p\overline{p}\) collisions at \(\sqrt{s}=1.96\,\mathrm{TeV}\), and by the CMS experiment [21] in \(pp\) collisions at \(\sqrt{s}=7\,\mathrm{TeV}\), using the \(\psi {(2S)} \!\rightarrow \mu ^+ \mu ^- \) decay. The CDF (CMS) measurement used \(\psi {(2S)}\) mesons in the kinematic range \(5<p_\mathrm{T} <30{\mathrm {\,GeV\!/}c} \) (\(14<p_\mathrm{T} <50{\mathrm {\,GeV\!/}c} \)) and rapidity \(|y|<0.6\) (\(|y|<1.5\)). The CDF result for \(p_\mathrm{T} >10{\mathrm {\,GeV\!/}c} \) is in strong disagreement with the NRQCD prediction of large transverse polarisation. At CMS, no evidence of large transverse or longitudinal \(\psi {(2S)}\) polarisation has been observed.

This paper presents the measurement of the prompt \(\psi {(2S)}\) polarisation in \(pp\) collisions at \(\sqrt{s} =7\,\mathrm{TeV}\), using data corresponding to an integrated luminosity of 1\(\,\text{ fb }^{-1} \), from \(\psi {(2S)} \!\rightarrow \mu ^+ \mu ^- \) decays. The \(\psi {(2S)}\) polarisation parameters are determined using unbinned maximum likelihood fits to the two-dimensional angular distribution of the \(\mu ^+ \) in the helicity and Collins-Soper frames. The measurement is performed in the \(\psi {(2S)}\) kinematic range \(3.5<p_\mathrm{T} <15{\mathrm {\,GeV\!/}c} \) and \(2.0<y<4.5\).

2 LHCb detector and data sample

The LHCb detector [23] is a single-arm forward spectrometer covering the pseudorapidity range \(2<\eta <5\), designed for the study of particles containing \(b \) or \(c \) quarks. The detector includes a high-precision tracking system consisting of a silicon-strip vertex detector surrounding the \(pp\) interaction region, a large-area silicon-strip detector located upstream of a dipole magnet with a bending power of about \(4\mathrm{\,Tm}\), and three stations of silicon-strip detectors and straw drift tubes placed downstream. The combined tracking system provides a momentum measurement with relative uncertainty that varies from 0.4 % at 5\({\mathrm {\,GeV\!/}c}\) to 0.6 % at 100\({\mathrm {\,GeV\!/}c}\), and impact parameter resolution of 20\({\,\upmu \mathrm m}\) for tracks with large transverse momentum. Different types of charged hadrons are distinguished by information from two ring-imaging Cherenkov detectors [24]. Photon, electron and hadron candidates are identified by a calorimeter system consisting of scintillating-pad and preshower detectors, an electromagnetic calorimeter and a hadronic calorimeter. Muons are identified by a system composed of alternating layers of iron and multiwire proportional chambers [25].

The trigger [26] consists of a hardware stage, based on information from the calorimeter and muon systems, followed by a software stage, which applies full event reconstruction. The hardware trigger requires the \(p_\mathrm{T}\) of one muon candidate to be larger than \(1.48{\mathrm {\,GeV\!/}c} \), or the product of the transverse momenta of two muon candidates to be larger than \(1.68{\,(\mathrm {GeV\!/}c)^2} \). In a first stage of the software trigger, two oppositely charged muon candidates with \(p_\mathrm{T} >0.5{\mathrm {\,GeV\!/}c} \) and momentum \(p>6{\mathrm {\,GeV\!/}c} \) are selected and their invariant mass is required to be greater than \(2.7{\mathrm {\,GeV\!/}c^2} \). In a second stage of the software trigger, two muon candidates consistent with originating from a \(\psi {(2S)}\) decay are chosen and additional criteria are applied to refine the sample of the \(\psi {(2S)}\) candidates as follows. The invariant mass of the candidate is required to be consistent with the known \(\psi {(2S)}\) mass [27] and, for 0.7\(\,\text{ fb }^{-1} \) of data, the \(p_\mathrm{T}\) of the candidate is required to be greater than 3.5\({\mathrm {\,GeV\!/}c}\).

In the simulation, \(pp\) collisions are generated using Pythia  [28] with a specific LHCb configuration [29]. Decays of hadronic particles are described by EvtGen  [30], in which final state radiation is generated using Photos  [31]. The interaction of the generated particles with the detector and its response are implemented using the Geant4 toolkit [32, 33] as described in Ref. [34]. The prompt charmonium production is simulated in Pythia according to the leading order colour-singlet and colour-octet mechanisms [29, 35], and the charmonium is generated without polarisation.

3 Event selection

The \(\psi {(2S)}\) candidates are reconstructed from pairs of good quality, oppositely charged particles that originate from a common vertex. The \(\chi ^2\) probability of the vertex fit must be larger than 0.5 %. The transverse momentum of each particle is required to be greater than \(1{\mathrm {\,GeV\!/}c} \). Both tracks must also be consistent with the muon hypothesis. As in the measurement of \({J /\psi } \) polarisation [22], the significance \(S_\tau \), which is defined as the reconstructed pseudo-decay time \(\tau \) divided by its uncertainty, is used to distinguish between prompt \(\psi {(2S)}\) mesons and those from \(b\)-hadron decays. The pseudo-decay time \(\tau \) is defined as [17]
$$\begin{aligned} \tau \equiv \frac{(z_{\psi {(2S)}}-z_{\mathrm {PV}})\cdot {}M_{\psi {(2S)}}}{p_z}, \end{aligned}$$
(3)
where \(z_{\psi {(2S)}}\) (\(z_{\mathrm {PV}})\) is the position of the \(\psi {(2S)} \) decay vertex (the associated primary vertex) in the \(z\)-direction, \(M_{\psi {(2S)}}\) is the known \(\psi {(2S)} \) mass, and \(p_z\) is the measured \(z\) component of the \(\psi {(2S)} \) momentum in the centre-of-mass frame of the \(pp\) collision. The \(z\)-axis of the LHCb coordinate system is defined as the beam direction in the LHCb detector region. The \(\psi {(2S)}\) mesons from \(b\)-hadron decays tend to have large values of \(S_\tau \). The requirement \(S_\tau <4\) reduces the fraction of the selected non-prompt \(\psi {(2S)}\) mesons from about 20 to 3 % [17, 22].
The analysis is performed in five \(p_\mathrm{T}\) and five \(y\) bins of the \(\psi {(2S)}\) meson. As an example, the invariant mass distribution of \(\psi {(2S)}\) candidates for \(5<p_\mathrm{T} <7{\mathrm {\,GeV\!/}c} \) and \(3.0<y<3.5\) is shown in Fig. 1. In each kinematic bin, the mass distribution is fitted with a combination of two Crystal Ball (CB) functions [36] with a common peak position for the signal and a linear function for the combinatorial background. The relative fractions of the narrower and broader CB functions are fixed to 0.9 and 0.1, respectively, determined from simulation.
https://static-content.springer.com/image/art%3A10.1140%2Fepjc%2Fs10052-014-2872-9/MediaObjects/10052_2014_2872_Fig1_HTML.gif
Fig. 1

Invariant mass distribution of \(\psi {(2S)}\) candidates in the kinematic region \(5<p_\mathrm{T} <7{\mathrm {\,GeV\!/}c} \) and \(2.5<y<3.0\). The solid blue line is the total fit function, the dot-dashed green line represents the linear background function and the red dashed line is the combination of the two CB functions

Using the results of the fit to the mass distribution, the sWeight\(w_i\) for each candidate \(i\) to be signal is computed by means of the sPlot technique [37]. The correlation between the invariant mass of the \(\psi {(2S)}\) candidates and the muon angular variables is found to be negligible, and the sWeights are used to subtract the background from the angular distribution.

4 Polarisation fit

The polarisation parameters are determined from a fit to the (\(\cos \theta ,\phi \)) angular distribution of the \(\psi {(2S)} \!\rightarrow \mu ^+ \mu ^- \)  signal candidates in each kinematic bin of the \(\psi {(2S)}\) meson independently. The angular distribution described by Eq. 1 is modified by the detection efficiency \(\epsilon \), which varies as a function of the angular variables (\(\cos \theta ,\phi \)). In each kinematic bin, \(\epsilon \) is obtained from a sample of simulated unpolarised \(\psi {(2S)} \!\rightarrow \mu ^+ \mu ^- \) decays, where \(\cos \theta \) and \(\phi \) are generated according to uniform distributions. As an example, Fig. 2 shows the efficiency in the helicity frame for \(\psi {(2S)}\) candidates in the kinematic bin \(5<p_\mathrm{T} <7{\mathrm {\,GeV\!/}c} \) and \(2.5<y<3.0\). The typical absolute efficiency is about 10 %. For smaller (larger) \(p_\mathrm{T}\) and \(y\) values, the coverage of the reconstructed muon angular variables is narrower (broader). In the regions \(\vert \cos \theta \vert \approx 1\), and \(\vert \phi \vert \approx 0\) or \(\pi \), the efficiency is lower because one of the two muons is likely to escape the LHCb detector acceptance.
https://static-content.springer.com/image/art%3A10.1140%2Fepjc%2Fs10052-014-2872-9/MediaObjects/10052_2014_2872_Fig2_HTML.gif
Fig. 2

Detection efficiency in arbitrary units as a function of \(\cos \theta \) and \(\phi \) in the helicity frame for \(\psi {(2S)}\) mesons in the range \(5<p_\mathrm{T} <7{\mathrm {\,GeV\!/}c} \) and \(2.5<y<3.0\)

Combining the angular distribution given in Eq. 1 with the efficiency, the logarithm of the likelihood function [38], in each \(p_\mathrm{T}\) and \(y\) bin, is defined as
$$\begin{aligned}&\ln L\nonumber \\&\quad =\alpha \sum ^{N_{\mathrm {tot}}}_{i=1}w_i\times \ln \left[ \frac{P(\cos \theta _{i},\phi _{i}\vert \lambda _{\theta }, \lambda _{\theta \phi }, \lambda _{\phi })\;\epsilon (\cos \theta _{i},\phi _{i})}{N(\lambda _{\theta }, \lambda _{\theta \phi }, \lambda _{\phi })}\right] , \nonumber \\ \end{aligned}$$
(4)
where \(P(\cos \theta _{i},\phi _{i}\vert \lambda _{\theta },\lambda _{\theta \phi }, \lambda _{\phi }) \equiv 1+\lambda _\theta \cos ^2 \theta _{i} + \lambda _{\theta \phi }\sin 2\theta _{i} \cos \phi _{i} + \lambda _\phi \sin ^2 \theta _{i} \cos 2\phi _{i}\), \(w_i\) is the sWeight, and \(N_\mathrm {tot}\) is the number of \(\psi {(2S)} \) candidates in the data. The global factor \(\alpha \equiv \sum _{i=1}^{N_\mathrm {tot}}w_i/\sum _{i=1}^{N_\mathrm {tot}}w_i^2\) is introduced to estimate correctly the statistical uncertainty for the weighted likelihood function. The normalisation \(N(\lambda _{\theta }, \lambda _{\theta \phi }, \lambda _{\phi })\) is defined as
$$\begin{aligned} N(\lambda _{\theta },\lambda _{\theta \phi },\lambda _{\phi })&= \int d\Omega P(\cos \theta ,\phi \vert \lambda _{\theta }, \lambda _{\theta \phi }, \lambda _{\phi })\nonumber \\&\times \epsilon (\cos \theta ,\phi ) \nonumber \\&\approx C\sum _{j=1}^{M_\mathrm {tot}} P(\cos \theta _j,\phi _j\vert \lambda _{\theta }, \lambda _{\theta \phi }, \lambda _{\phi }), \end{aligned}$$
(5)
where the sum extends over the \(M_\mathrm {tot}\) candidates in the simulated and reconstructed sample and \(C\) is a constant factor. The last equality holds because the \((\cos \theta ,\phi )\) two-dimensional distribution for the fully simulated unpolarised \(\psi {(2S)}\) mesons is the same as the efficiency \(\epsilon (\cos \theta ,\phi )\) up to a constant global factor.
The angular efficiency is validated in data by using muons from \(B ^+ \!\rightarrow {J /\psi } K ^+ \) decays. Due to angular momentum conservation, the \({J /\psi }\) meson produced in this channel is longitudinally polarised in the \(B ^+ \) meson rest frame. After reweighting the kinematic properties of the simulated \(B ^+ \) and \({J /\psi }\) mesons to reproduce the data, the remaining differences of the angular distributions between the reweighted simulation sample and the data are attributed to imperfections in the modelling of the detector response. Figure 3 compares the \(\cos \theta \) distributions in data for \(B ^+ \!\rightarrow {J /\psi } K ^+ \) candidates in the helicity frame with simulated data after reweighting. The efficiency for simulated events is overestimated for \({J /\psi }\) candidates with \(|\cos \theta |>0.5\), therefore it is corrected further as a function of \(p_\mu \) and \(y_\mu \), the momentum and the rapidity of the muon in the centre-of-mass frame of \(pp\) collisions. A table of weights (corrections) in bins of \(p_\mu \) and \(y_\mu \) are determined by studying the two-dimensional \((p_{\mu },y_{\mu })\) distribution of \(B ^+ \!\rightarrow {J /\psi } K ^+ \) candidates in data and simulation. The normalisation of Eq. 5 is calculated by assigning a weight to each candidate as the product of the weights for \(\mu ^+\) and \(\mu ^-\) depending on their \(p_\mu \) and \(y_\mu \) bins.
https://static-content.springer.com/image/art%3A10.1140%2Fepjc%2Fs10052-014-2872-9/MediaObjects/10052_2014_2872_Fig3_HTML.gif
Fig. 3

(Left) Distributions of \(\cos \theta \) in the helicity frame for \({J /\psi }\) mesons from \(B ^+ \rightarrow {J /\psi } K^+\) decays in data (filled triangles) and in the simulated sample (open circles) and (right) their ratio after the weighting based on the \(B ^+ \) and \({J /\psi }\) kinematic properties

5 Systematic uncertainties

Sources of systematic uncertainty are considered for each of the four observables \(\lambda _\theta \), \(\lambda _{\theta \phi } \), \(\lambda _{\phi } \) and \(\lambda _{\mathrm {inv}} \) in both the Collins-Soper and helicity frames. In the Collins-Soper frame, the overall systematic uncertainties are found to be comparable for each of these observables in most kinematic bins, while for the helicity frame the systematic uncertainties assigned to \(\lambda _{\theta \phi } \) and \(\lambda _{\phi } \) are typically a factor of 2–3 smaller than those estimated for \(\lambda _\theta \) and \(\lambda _{\mathrm {inv}} \). For each of the main sources of systematic uncertainty, Table 1 shows the range of values assigned over all kinematic bins, and their average. The total systematic uncertainties for each of the four observables can be found in Tables 2 and 3.
Table 1

Sources of systematic uncertainties on the polarisation parameter \(\lambda _\theta \) in the helicity and Collins-Soper frames. For each type of uncertainty, the average and the range over all \(\psi {(2S)}\) kinematic bins are shown

Source

Helicity frame

Collins-Soper frame

 

Average (range)

Average (range)

Efficiency correction

0.055 (0.034–0.126)

0.035 (0.019–0.078)

Simulation sample size

0.034 (0.015–0.103)

0.023 (0.010–0.094)

Fit to mass distribution

0.008 (0.001–0.134)

0.007 (0.001–0.188)

\(\psi {(2S)}\) kinematic modelling

0.018 (0.000–0.085)

0.016 (0.000–0.074)

\(b \)-hadron contamination

0.014 (0.002–0.035)

0.013 (0.002–0.063)

Table 2

Measured prompt \(\psi {(2S)}\) polarisation parameters \(\lambda _\theta \), \(\lambda _{\theta \phi }\), \(\lambda _{\phi }\) and \(\lambda _{\mathrm {inv}}\) in bins of \(p_\mathrm{T}\) and \(y\) in the helicity frame. The first uncertainty is statistical and the is second systematic

\(p_\mathrm{T}\) (\(\mathrm {GeV\!/}c\))

\(\lambda \)

\(2.0<y<2.5\)

\(2.5<y<3.0\)

\(3.0<y<3.5\)

\(3.5<y<4.0\)

\(4.0<y<4.5\)

3.5–4

\(\lambda _\theta \)

\(-\)0.331 \(\pm \) 0.174 \(\pm \) 0.142

\(-\)0.055 \(\pm \) 0.052 \(\pm \) 0.056

0.028 \(\pm \) 0.040 \(\pm \) 0.046

0.008 \(\pm \) 0.040 \(\pm \) 0.050

\(-\)0.080 \(\pm \) 0.063 \(\pm \) 0.092

\(\lambda _{\theta \phi }\)

\(-\)0.233 \(\pm \) 0.076 \(\pm \) 0.086

\(-\)0.172 \(\pm \) 0.021 \(\pm \) 0.026

\(-\)0.039 \(\pm \) 0.020 \(\pm \) 0.023

0.007 \(\pm \) 0.021 \(\pm \) 0.028

\(-\)0.048 \(\pm \) 0.036 \(\pm \) 0.049

\(\lambda _\phi \)

\(-\)0.049 \(\pm \) 0.036 \(\pm \) 0.037

\(-\)0.039 \(\pm \) 0.017 \(\pm \) 0.024

\(-\)0.074 \(\pm \) 0.018 \(\pm \) 0.022

\(-\)0.081 \(\pm \) 0.022 \(\pm \) 0.027

\(-\)0.110 \(\pm \) 0.043 \(\pm \) 0.047

\(\lambda _\mathrm {inv}\)

\(-\)0.456 \(\pm \) 0.195 \(\pm \) 0.160

\(-\)0.165 \(\pm \) 0.063 \(\pm \) 0.078

\(-\)0.180 \(\pm \) 0.054 \(\pm \) 0.063

\(-\)0.217 \(\pm \) 0.057 \(\pm \) 0.073

\(-\)0.371 \(\pm \) 0.089 \(\pm \) 0.114

4–5

\(\lambda _\theta \)

\(-\)0.194 \(\pm \) 0.113 \(\pm \) 0.113

0.007 \(\pm \) 0.038 \(\pm \) 0.052

\(-\)0.003 \(\pm \) 0.028 \(\pm \) 0.052

\(-\)0.026 \(\pm \) 0.029 \(\pm \) 0.052

0.007 \(\pm \) 0.050 \(\pm \) 0.095

\(\lambda _{\theta \phi }\)

\(-\)0.238 \(\pm \) 0.049 \(\pm \) 0.053

\(-\)0.086 \(\pm \) 0.016 \(\pm \) 0.023

\(-\)0.026 \(\pm \) 0.015 \(\pm \) 0.021

0.003 \(\pm \) 0.017 \(\pm \) 0.025

0.023 \(\pm \) 0.027 \(\pm \) 0.043

\(\lambda _\phi \)

\(-\)0.043 \(\pm \) 0.023 \(\pm \) 0.024

\(-\)0.082 \(\pm \) 0.012 \(\pm \) 0.014

\(-\)0.048 \(\pm \) 0.012 \(\pm \) 0.023

\(-\)0.087 \(\pm \) 0.016 \(\pm \) 0.025

\(-\)0.088 \(\pm \) 0.033 \(\pm \) 0.035

\(\lambda _\mathrm {inv}\)

\(-\)0.309 \(\pm \) 0.126 \(\pm \) 0.120

\(-\)0.222 \(\pm \) 0.045 \(\pm \) 0.060

\(-\)0.140 \(\pm \) 0.042 \(\pm \) 0.057

\(-\)0.265 \(\pm \) 0.044 \(\pm \) 0.070

\(-\)0.237 \(\pm \) 0.072 \(\pm \) 0.102

5–7

\(\lambda _\theta \)

\(-\)0.198 \(\pm \) 0.074 \(\pm \) 0.091

0.083 \(\pm \) 0.030 \(\pm \) 0.051

0.003 \(\pm \) 0.024 \(\pm \) 0.039

\(-\)0.088 \(\pm \) 0.024 \(\pm \) 0.046

\(-\)0.189 \(\pm \) 0.039 \(\pm \) 0.092

\(\lambda _{\theta \phi }\)

\(-\)0.164 \(\pm \) 0.031 \(\pm \) 0.039

\(-\)0.072 \(\pm \) 0.013 \(\pm \) 0.018

\(-\)0.026 \(\pm \) 0.013 \(\pm \) 0.020

0.002 \(\pm \) 0.015 \(\pm \) 0.026

0.044 \(\pm \) 0.025 \(\pm \) 0.051

\(\lambda _\phi \)

\(-\)0.058 \(\pm \) 0.014 \(\pm \) 0.021

\(-\)0.046 \(\pm \) 0.009 \(\pm \) 0.013

\(-\)0.058 \(\pm \) 0.009 \(\pm \) 0.018

\(-\)0.038 \(\pm \) 0.012 \(\pm \) 0.019

\(-\)0.039 \(\pm \) 0.025 \(\pm \) 0.028

\(\lambda _\mathrm {inv}\)

\(-\)0.352 \(\pm \) 0.080 \(\pm \) 0.094

\(-\)0.054 \(\pm \) 0.039 \(\pm \) 0.060

\(-\)0.162 \(\pm \) 0.035 \(\pm \) 0.054

\(-\)0.195 \(\pm \) 0.040 \(\pm \) 0.067

\(-\)0.294 \(\pm \) 0.065 \(\pm \) 0.105

7–10

\(\lambda _\theta \)

\(-\)0.142 \(\pm \) 0.066 \(\pm \) 0.079

\(-\)0.064 \(\pm \) 0.034 \(\pm \) 0.053

\(-\)0.001 \(\pm \) 0.032 \(\pm \) 0.051

\(-\)0.196 \(\pm \) 0.033 \(\pm \) 0.071

\(-\)0.159 \(\pm \) 0.058 \(\pm \) 0.118

\(\lambda _{\theta \phi }\)

0.044 \(\pm \) 0.028 \(\pm \) 0.034

0.002 \(\pm \) 0.014 \(\pm \) 0.021

0.008 \(\pm \) 0.016 \(\pm \) 0.023

0.003 \(\pm \) 0.019 \(\pm \) 0.031

0.124 \(\pm \) 0.037 \(\pm \) 0.058

\(\lambda _\phi \)

\(-\)0.036 \(\pm \) 0.014 \(\pm \) 0.017

\(-\)0.075 \(\pm \) 0.010 \(\pm \) 0.012

\(-\)0.088 \(\pm \) 0.011 \(\pm \) 0.012

\(-\)0.036 \(\pm \) 0.014 \(\pm \) 0.018

0.007 \(\pm \) 0.030 \(\pm \) 0.031

\(\lambda _\mathrm {inv}\)

\(-\)0.241 \(\pm \) 0.079 \(\pm \) 0.095

\(-\)0.269 \(\pm \) 0.043 \(\pm \) 0.064

\(-\)0.245 \(\pm \) 0.043 \(\pm \) 0.062

\(-\)0.292 \(\pm \) 0.052 \(\pm \) 0.100

\(-\)0.140 \(\pm \) 0.101 \(\pm \) 0.138

10–15

\(\lambda _\theta \)

\(-\)0.137 \(\pm \) 0.080 \(\pm \) 0.123

\(-\)0.235 \(\pm \) 0.047 \(\pm \) 0.075

\(-\)0.258 \(\pm \) 0.048 \(\pm \) 0.073

\(-\)0.371 \(\pm \) 0.059 \(\pm \) 0.135

\(-\)0.706 \(\pm \) 0.081 \(\pm \) 0.161

\(\lambda _{\theta \phi }\)

0.157 \(\pm \) 0.034 \(\pm \) 0.050

0.045 \(\pm \) 0.020 \(\pm \) 0.026

0.094 \(\pm \) 0.023 \(\pm \) 0.032

0.052 \(\pm \) 0.031 \(\pm \) 0.054

0.104 \(\pm \) 0.059 \(\pm \) 0.079

\(\lambda _\phi \)

\(-\)0.014 \(\pm \) 0.021 \(\pm \) 0.022

\(-\)0.059 \(\pm \) 0.017 \(\pm \) 0.011

\(-\)0.074 \(\pm \) 0.020 \(\pm \) 0.014

\(-\)0.047 \(\pm \) 0.027 \(\pm \) 0.020

0.044 \(\pm \) 0.053 \(\pm \) 0.048

\(\lambda _\mathrm {inv}\)

\(-\)0.176 \(\pm \) 0.103 \(\pm \) 0.164

\(-\)0.390 \(\pm \) 0.062 \(\pm \) 0.086

\(-\)0.446 \(\pm \) 0.067 \(\pm \) 0.096

\(-\)0.489 \(\pm \) 0.089 \(\pm \) 0.150

\(-\)0.601 \(\pm \) 0.162 \(\pm \) 0.136

Table 3

Measured prompt \(\psi {(2S)}\) polarisation parameters \(\lambda _\theta \), \(\lambda _{\theta \phi }\), \(\lambda _{\phi }\) and \(\lambda _{\mathrm {inv}}\) in bins of \(p_\mathrm{T}\) and \(y\) in the Collins-Soper frame. The first uncertainty is statistical and the second is systematic

\(p_\mathrm{T}\) (\(\mathrm {GeV\!/}c\))

\(\lambda \)

\(2.0<y<2.5\)

\(2.5<y<3.0\)

\(3.0<y<3.5\)

\(3.5<y<4.0\)

\(4.0<y<4.5\)

3.5–4

\(\lambda _\theta \)

\(-\)0.457 \(\pm \) 0.142 \(\pm \) 0.144

\(-\)0.282 \(\pm \) 0.026 \(\pm \) 0.036

\(-\)0.105 \(\pm \) 0.023 \(\pm \) 0.031

\(-\)0.047 \(\pm \) 0.028 \(\pm \) 0.041

\(-\)0.168 \(\pm \) 0.058 \(\pm \) 0.076

\(\lambda _{\theta \phi }\)

0.141 \(\pm \) 0.088 \(\pm \) 0.065

0.018 \(\pm \) 0.027 \(\pm \) 0.031

\(-\)0.043 \(\pm \) 0.022 \(\pm \) 0.027

\(-\)0.038 \(\pm \) 0.024 \(\pm \) 0.032

\(-\)0.010 \(\pm \) 0.044 \(\pm \) 0.059

\(\lambda _\phi \)

\(-\)0.003 \(\pm \) 0.039 \(\pm \) 0.028

0.040 \(\pm \) 0.020 \(\pm \) 0.023

\(-\)0.027 \(\pm \) 0.021 \(\pm \) 0.024

\(-\)0.061 \(\pm \) 0.023 \(\pm \) 0.028

\(-\)0.076 \(\pm \) 0.031 \(\pm \) 0.045

\(\lambda _\mathrm {inv}\)

\(-\)0.465 \(\pm \) 0.194 \(\pm \) 0.179

\(-\)0.169 \(\pm \) 0.062 \(\pm \) 0.068

\(-\)0.180 \(\pm \) 0.054 \(\pm \) 0.062

\(-\)0.218 \(\pm \) 0.057 \(\pm \) 0.076

\(-\)0.368 \(\pm \) 0.089 \(\pm \) 0.118

4–5

\(\lambda _\theta \)

\(-\)0.374 \(\pm \) 0.077 \(\pm \) 0.086

\(-\)0.192 \(\pm \) 0.019 \(\pm \) 0.032

\(-\)0.080 \(\pm \) 0.017 \(\pm \) 0.030

\(-\)0.075 \(\pm \) 0.020 \(\pm \) 0.035

\(-\)0.035 \(\pm \) 0.042 \(\pm \) 0.056

\(\lambda _{\theta \phi }\)

0.103 \(\pm \) 0.059 \(\pm \) 0.062

\(-\)0.020 \(\pm \) 0.019 \(\pm \) 0.028

\(-\)0.010 \(\pm \) 0.015 \(\pm \) 0.035

\(-\)0.027 \(\pm \) 0.017 \(\pm \) 0.032

\(-\)0.047 \(\pm \) 0.034 \(\pm \) 0.057

\(\lambda _\phi \)

0.032 \(\pm \) 0.029 \(\pm \) 0.027

\(-\)0.011 \(\pm \) 0.017 \(\pm \) 0.025

\(-\)0.021 \(\pm \) 0.017 \(\pm \) 0.024

\(-\)0.069 \(\pm \) 0.019 \(\pm \) 0.028

\(-\)0.073 \(\pm \) 0.027 \(\pm \) 0.041

\(\lambda _\mathrm {inv}\)

\(-\)0.288 \(\pm \) 0.125 \(\pm \) 0.123

\(-\)0.221 \(\pm \) 0.045 \(\pm \) 0.061

\(-\)0.141 \(\pm \) 0.042 \(\pm \) 0.058

\(-\)0.264 \(\pm \) 0.044 \(\pm \) 0.071

\(-\)0.237 \(\pm \) 0.072 \(\pm \) 0.096

5–7

\(\lambda _\theta \)

\(-\)0.265 \(\pm \) 0.040 \(\pm \) 0.062

\(-\)0.147 \(\pm \) 0.014 \(\pm \) 0.024

\(-\)0.095 \(\pm \) 0.015 \(\pm \) 0.023

\(-\)0.029 \(\pm \) 0.019 \(\pm \) 0.030

0.038 \(\pm \) 0.037 \(\pm \) 0.067

\(\lambda _{\theta \phi }\)

0.123 \(\pm \) 0.041 \(\pm \) 0.051

\(-\)0.022 \(\pm \) 0.013 \(\pm \) 0.026

\(-\)0.013 \(\pm \) 0.011 \(\pm \) 0.025

0.026 \(\pm \) 0.013 \(\pm \) 0.028

0.050 \(\pm \) 0.029 \(\pm \) 0.053

\(\lambda _\phi \)

\(-\)0.024 \(\pm \) 0.026 \(\pm \) 0.032

0.033 \(\pm \) 0.014 \(\pm \) 0.024

\(-\)0.024 \(\pm \) 0.015 \(\pm \) 0.024

\(-\)0.060 \(\pm \) 0.018 \(\pm \) 0.030

\(-\)0.125 \(\pm \) 0.029 \(\pm \) 0.051

\(\lambda _\mathrm {inv}\)

\(-\)0.330 \(\pm \) 0.080 \(\pm \) 0.098

\(-\)0.049 \(\pm \) 0.040 \(\pm \) 0.059

\(-\)0.163 \(\pm \) 0.035 \(\pm \) 0.056

\(-\)0.198 \(\pm \) 0.040 \(\pm \) 0.067

\(-\)0.299 \(\pm \) 0.066 \(\pm \) 0.106

7–10

\(\lambda _\theta \)

0.035 \(\pm \) 0.039 \(\pm \) 0.044

\(-\)0.078 \(\pm \) 0.019 \(\pm \) 0.028

\(-\)0.098 \(\pm \) 0.020 \(\pm \) 0.031

0.008 \(\pm \) 0.028 \(\pm \) 0.044

0.225 \(\pm \) 0.061 \(\pm \) 0.082

\(\lambda _{\theta \phi }\)

0.006 \(\pm \) 0.038 \(\pm \) 0.046

\(-\)0.002 \(\pm \) 0.014 \(\pm \) 0.023

\(-\)0.034 \(\pm \) 0.013 \(\pm \) 0.021

0.065 \(\pm \) 0.017 \(\pm \) 0.031

\(-\)0.017 \(\pm \) 0.040 \(\pm \) 0.058

\(\lambda _\phi \)

\(-\)0.096 \(\pm \) 0.032 \(\pm \) 0.037

\(-\)0.070 \(\pm \) 0.019 \(\pm \) 0.031

\(-\)0.053 \(\pm \) 0.019 \(\pm \) 0.031

\(-\)0.111 \(\pm \) 0.025 \(\pm \) 0.040

\(-\)0.131 \(\pm \) 0.045 \(\pm \) 0.065

\(\lambda _\mathrm {inv}\)

\(-\)0.230 \(\pm \) 0.079 \(\pm \) 0.093

\(-\)0.269 \(\pm \) 0.043 \(\pm \) 0.066

\(-\)0.244 \(\pm \) 0.043 \(\pm \) 0.062

\(-\)0.293 \(\pm \) 0.052 \(\pm \) 0.081

\(-\)0.149 \(\pm \) 0.101 \(\pm \) 0.137

10–15

\(\lambda _\theta \)

0.163 \(\pm \) 0.055 \(\pm \) 0.055

0.042 \(\pm \) 0.037 \(\pm \) 0.042

0.087 \(\pm \) 0.045 \(\pm \) 0.052

0.138 \(\pm \) 0.063 \(\pm \) 0.089

0.675 \(\pm \) 0.175 \(\pm \) 0.222

\(\lambda _{\theta \phi }\)

\(-\)0.103 \(\pm \) 0.043 \(\pm \) 0.065

0.015 \(\pm \) 0.022 \(\pm \) 0.026

\(-\)0.024 \(\pm \) 0.024 \(\pm \) 0.023

0.062 \(\pm \) 0.034 \(\pm \) 0.046

0.221 \(\pm \) 0.090 \(\pm \) 0.075

\(\lambda _\phi \)

\(-\)0.117 \(\pm \) 0.044 \(\pm \) 0.068

\(-\)0.163 \(\pm \) 0.032 \(\pm \) 0.045

\(-\)0.211 \(\pm \) 0.036 \(\pm \) 0.045

\(-\)0.251 \(\pm \) 0.050 \(\pm \) 0.080

\(-\)0.539 \(\pm \) 0.117 \(\pm \) 0.133

\(\lambda _\mathrm {inv}\)

\(-\)0.168 \(\pm \) 0.103 \(\pm \) 0.162

\(-\)0.385 \(\pm \) 0.063 \(\pm \) 0.088

\(-\)0.450 \(\pm \) 0.067 \(\pm \) 0.086

\(-\)0.492 \(\pm \) 0.089 \(\pm \) 0.149

\(-\)0.613 \(\pm \) 0.161 \(\pm \) 0.130

The dominant systematic uncertainty is due to the size of the \(B ^+ \!\rightarrow {J /\psi } K ^+ \) control sample. This leads to non-negligible statistical uncertainties in the correction factors that are applied to simulated events in bins of \(p_\mu \) and \(y_\mu \). The uncertainty on a given correction factor is estimated by varying it by one standard deviation of its statistical uncertainty, while keeping all other factors at their central values. The polarisation parameters are recalculated and the change relative to their default values is considered as the contribution from this factor to the systematic uncertainty. This procedure is repeated for all bins of \(p_\mu \) and \(y_\mu \), and the sum in quadrature of all these independent contributions is taken as the total systematic uncertainty.

The limited size of the sample of simulated events introduces an uncertainty on the normalisation \(N(\lambda _\theta , \lambda _{\theta \phi },\lambda _\phi )\), and this uncertainty is propagated to the polarisation parameters.

The uncertainty of the sWeight  of each candidate used for the background subtraction is a source of uncertainty on the polarisation parameters. The effect is studied by comparing the default polarisation parameters with those obtained when varying the definition of the models used to fit the mass distributions and re-evaluating the sWeight for each candidate. Several alternative fitting models are studied, including an exponential function for the background mass distribution, only one CB function for the signal mass distribution, or shapes for signal and background mass distributions fixed to those obtained from fits to the mass distributions in sub-regions of the \((\cos \theta ,\phi )\) distribution space. The largest variation with respect to the default result is assigned as the systematic uncertainty.

In each kinematic bin, discrepancies between data and simulation in the \(\psi {(2S)}\)\(p_\mathrm{T}\) and \(y\) distributions introduce an additional uncertainty. This is evaluated by comparing the default polarisation results with those determined after the \(\psi {(2S)}\) kinematic distribution in the simulation is weighted to that in data. The difference between the two results is quoted as a systematic uncertainty contribution.

The uncertainty due to the contamination of \(\psi {(2S)}\) candidates from \(b\)-hadron decays (\(3~\%\)) is determined by relaxing the \(S_\tau \) selection and studying the variations of the polarisation parameters.

With the exception of the effects due to the differences in the \(\psi {(2S)}\) kinematic spectrum and the size of the sample of simulated events, correlations are expected among \(\psi {(2S)}\) kinematic bins. The correlation between these systematic uncertainties in adjacent bins could be as large as 50 %, as the final state muons may have similar momentum and rapidity. For each kinematic bin, the total systematic uncertainty is calculated as the quadratic sum of the various sources of systematic uncertainties assuming no correlation within each kinematic bin.

6 Results

The results for the polarisation parameters \(\lambda _\theta \), \(\lambda _{\theta \phi }\), \(\lambda _{\phi }\) and \(\lambda _{\mathrm {inv}}\), and their uncertainties, in each \(p_\mathrm{T}\) and \(y\) bin of the prompt \(\psi {(2S)}\) meson sample, are reported in Tables 2 and 3 for the helicity and the Collins-Soper frames, respectively. The systematic uncertainties are similar in size to the statistical uncertainties. The parameters \(\lambda _\theta \) and \(\lambda _{\mathrm {inv}}\) are also shown in Fig. 4 as functions of the \(p_\mathrm{T}\) of the \(\psi {(2S)}\) mesons, for different \(y\) bins.
https://static-content.springer.com/image/art%3A10.1140%2Fepjc%2Fs10052-014-2872-9/MediaObjects/10052_2014_2872_Fig4_HTML.gif
Fig. 4

Polarisation parameters for prompt \(\psi {(2S)}\) mesons as a function of \(p_\mathrm{T}\), in five rapidity intervals, (top left) \(\lambda _\theta \) and (bottom) \(\lambda _{\mathrm {inv}} \), measured in the helicity frame, and (top right) \(\lambda _\theta \) in the Collins-Soper frame. The uncertainties on data points are the sum in quadrature of statistical and systematic uncertainties. The horizontal bars represent the width of the \(p_\mathrm{T}\) bins for the \(\psi {(2S)}\) meson. The data points for each rapidity interval are displaced horizontally to improve visibility

The frame-invariant polarisation parameter \(\lambda _{\mathrm {inv}}\) is consistent with a negative polarisation with no strong dependence on the \(p_\mathrm{T}\) and \(y\) of the \(\psi {(2S)}\) meson. The values and uncertainties of \(\lambda _{\mathrm {inv}}\) that are measured in the helicity and the Collins-Soper frames are in good agreement with each other, with differences much smaller than the statistical uncertainties. In the Collins-Soper frame, \(\lambda _\theta \) takes small negative values especially in the low-\(p_\mathrm{T}\) region and increases with \(p_\mathrm{T}\). This trend is more significant for the extreme \(y\) bins. In the helicity frame, the polarisation parameter \(\lambda _\theta \) is consistent with zero, with no significant dependence on \(p_\mathrm{T}\) or \(y\) of the \(\psi {(2S)}\) meson. The polarisation parameters \(\lambda _{\theta \phi }\) and \(\lambda _{\phi }\) are consistent with zero in both the helicity and Collins-Soper frames, and their absolute values are below 0.1 for most of the kinematic bins.

In Fig. 5, the measured values of \(\lambda _\theta \) in the helicity frame as a function of \(p_\mathrm{T}\) of the \(\psi {(2S)}\) meson, integrating over the rapidity range \(2.5<y<4.0\), are compared with the predictions of the CSM [39] and NRQCD [3941] models at NLO. Our results disfavour the CSM calculations, in which the \(\psi {(2S)}\) meson is significantly longitudinally polarised. The three NRQCD calculations in Refs. [3941], which use different selections of experimental data to determine the non-perturbative matrix elements, provide a good description of our measurements in the low-\(p_\mathrm{T}\) region. However, the prediction of increasing polarisation with \(p_\mathrm{T}\) in these models is not supported by the LHCb data.
https://static-content.springer.com/image/art%3A10.1140%2Fepjc%2Fs10052-014-2872-9/MediaObjects/10052_2014_2872_Fig5_HTML.gif
Fig. 5

Polarisation parameter \(\lambda _\theta \) of the prompt \(\psi {(2S)}\) meson in the helicity frame as a function of \(p_\mathrm{T}\), in the rapidity range \(2.5<y<4\). The predictions of NLO CSM [39] and three NLO NRQCD models (1) [39], (2) [40] and (3) [41] are also shown. Uncertainties on data are the sum in quadrature of the statistical and systematic uncertainties. The horizontal bars represent the width of \(p_\mathrm{T}\) bins for the \(\psi {(2S)}\) meson

7 Conclusion

The polarisation of prompt \(\psi {(2S)}\) mesons is measured as a function of the \(\psi {(2S)}\)\(p_\mathrm{T}\) and \(y\) in the range \(3.5<\)\(p_\mathrm{T} <15{\mathrm {\,GeV\!/}c} \) and \(2.0<y<4.5\), in \(pp\) collisions at \(\sqrt{s}= 7\,\mathrm{TeV}\). The analysis is performed using data corresponding to an integrated luminosity of 1.0 \(\,\text{ fb }^{-1} \), collected by the LHCb experiment in 2011. The polarisation parameters \(\lambda _\theta \), \(\lambda _{\theta \phi }\), \(\lambda _{\phi }\) and \(\lambda _{\mathrm {inv}}\) are determined in the helicity and Collins-Soper frames by studying the angular distribution of the two muons produced in the \(\psi {(2S)} \!\rightarrow \mu ^+ \mu ^- \) decay.

The frame-independent observable \(\lambda _{\mathrm {inv}}\) is consistent with a negative polarisation. The measured values of \(\lambda _{\theta \phi }\) and \(\lambda _{\phi }\) are small over the accessible kinematic range. The \(\lambda _\theta \) distribution in the helicity frame shows that the \(\psi {(2S)}\) meson exhibits neither large transverse nor longitudinal polarisation. Although a direct comparison with previous measurements by CMS and CDF is not possible due to the different kinematic ranges, all results disfavour large polarisation in the high-\(p_\mathrm{T}\) region. The prompt \(\psi {(2S)}\) polarisation measured at LHCb disagrees with the CSM predictions both in the size of the polarisation parameters and the \(p_\mathrm{T} \) dependence. While the NRQCD models provide a good description of the LHCb data in the low-\(p_\mathrm{T}\) region, the predicted transverse polarisation at high-\(p_\mathrm{T}\) is not observed.

Footnotes
1

For a \(\psi {(2S)} \) meson in a pure spin state the three polarisation parameters cannot vanish simultaneously.

 

Acknowledgments

We wish to thank M. Butenschön, B. Gong, H.-S. Shao and Y.-Q. Ma for providing us with the theoretical calculations and helpful discussions. We express our gratitude to our colleagues in the CERN accelerator departments for the excellent performance of the LHC. We thank the technical and administrative staff at the LHCb institutes. We acknowledge support from CERN and from the national agencies: CAPES, CNPq, FAPERJ and FINEP (Brazil); NSFC (China); CNRS/IN2P3 and Region Auvergne (France); BMBF, DFG, HGF and MPG (Germany); SFI (Ireland); INFN (Italy); FOM and NWO (The Netherlands); SCSR (Poland); MEN/IFA (Romania); MinES, Rosatom, RFBR and NRC “Kurchatov Institute” (Russia); MinECo, XuntaGal and GENCAT (Spain); SNSF and SER (Switzerland); NAS Ukraine (Ukraine); STFC (United Kingdom); NSF (USA). We also acknowledge the support received from EPLANET and the ERC under FP7. The Tier1 computing centres are supported by IN2P3 (France), KIT and BMBF (Germany), INFN (Italy), NWO and SURF (The Netherlands), PIC (Spain), GridPP (United Kingdom). We are indebted to the communities behind the multiple open source software packages on which we depend. We are also thankful for the computing resources and the access to software R&D tools provided by Yandex LLC (Russia).

Copyright information

© CERN for the benefit of the LHCb collaboration 2014

Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Funded by SCOAP3 / License Version CC BY 4.0.