Journal of High Energy Physics

, 2010:158

Formulae for the analysis of the flavor-tagged decay Bs0 → J/ψϕ

  • F. Azfar
  • J. Boudreau
  • N. Bousson
  • J. P. Fernández
  • K. Gibson
  • G. Giurgiu
  • G. Gómez-Ceballos
  • T. Kuhr
  • M. Kreps
  • C. Liu
  • P. Maksimovic
  • J. Morlock
  • L. Oakes
  • M. Paulini
  • E. Pueschel
  • A. Schmidt
Open Access
Article

Abstract

Differential rates in the decay Bs0J/ψϕ with ϕ →K+Kand J/ψ →μ+μare sensitive to the CP -violation phase βs = arg((−VtsVtb)/(VcsVcb)), predicted to be very small in the standard model. The analysis of Bs0J/ψϕ decays is also suitable for measuring the Bs0 lifetime, the decay width difference ΔΓs between the Bs0 mass eigenstates, and the Bs0 oscillation frequency Δm even if appreciable CP violation does not occur. In this paper we present normalized probability densities useful in maximum likelihood fits, extended to allow for S -wave K+K contributions on one hand and for direct CP violation on the other. Our treatment of the S -wave contributions includes the strong variation of the S -wave/P -wave amplitude ratio with m (K+K) across the ϕ resonance, which was not considered in previous work. We include a scheme for re-normalizing the probability densities after detector sculpting of the angular distributions of the final state particles, and conclude with an examination of the symmetries of the rate formulae, with and without an S -wave K+K contribution. All results are obtained with the use of a new compact formalism describing the differential decay rate of Bs0 mesons into J/ψϕ final states.

Keywords

B-Physics CP violation 

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Copyright information

© The Author(s) 2010

Open Access This 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 source are credited.

Authors and Affiliations

  • F. Azfar
    • 1
  • J. Boudreau
    • 2
  • N. Bousson
    • 3
  • J. P. Fernández
    • 4
  • K. Gibson
    • 2
  • G. Giurgiu
    • 5
  • G. Gómez-Ceballos
    • 6
  • T. Kuhr
    • 8
  • M. Kreps
    • 8
  • C. Liu
    • 2
  • P. Maksimovic
    • 5
  • J. Morlock
    • 8
  • L. Oakes
    • 1
  • M. Paulini
    • 7
  • E. Pueschel
    • 7
  • A. Schmidt
    • 8
  1. 1.University of OxfordOxfordUnited Kingdom
  2. 2.University of PittsburghPittsburghU.S.A.
  3. 3.Centre de Physique des Particules de MarseilleMarseilleFrance
  4. 4.Centro de Investigaciones Energeticas Medioambientales y TecnologicasMadridSpain
  5. 5.The John Hopkins UniversityBaltimoreU.S.A.
  6. 6.Massachusetts Institute of TechnologyCambridgeU.S.A.
  7. 7.Carnegie Mellon UniversityPittsburghU.S.A.
  8. 8.Institüt fur Experimentelle KernphysikUniversität KarslruheKarlsruheGermany

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