Abstract
A study of B and Bs meson decays into J/ψ η and J/ψ η′ final states is performed using a data set of proton-proton collisions at centre-of-mass energies of 7 and 8 TeV, collected by the LCHb experiment and corresponding to 3.0 fb−1 of integrated luminosity. The decay B0 → J/ψ η′ is observed for the first time. The following ratios of branching fractions are measured:
where the third uncertainty is related to the present knowledge of fs/fd, the ratio between the probabilities for a b quark to form a Bs or a B0 meson. The branching fraction ratios are used to determine the parameters of η − η′ meson mixing. In addition, the first evidence for the decay Bs → ψ(2S)η′ is reported, and the relative branching fraction is measured,
where the third uncertainty is due to the limited knowledge of the branching fractions of J/ψ and ψ(2S) mesons.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. Di Donato, G. Ricciardi and I. Bigi, η − η′ mixing — from electromagnetic transitions to weak decays of charm and beauty hadrons, Phys. Rev. D 85 (2012) 013016 [arXiv:1105.3557] [INSPIRE].
Y.-D. Tsai, H.-n. Li and Q. Zhao, ηc mixing effects on charmonium and B meson decays, Phys. Rev. D 85 (2012) 034002 [arXiv:1110.6235] [INSPIRE].
R. Fleischer, R. Knegjens and G. Ricciardi, Exploring CP violation and η − η′ mixing with the B 0(s) → J/ψη(′) systems, Eur. Phys. J. C 71 (2011) 1798 [arXiv:1110.5490] [INSPIRE].
A. Datta, H.J. Lipkin and P.J. O’Donnell, Simple relations for two-body B decays to charmonium and tests for η − η′ mixing, Phys. Lett. B 529 (2002) 93 [hep-ph/0111336] [INSPIRE].
J.L. Rosner, Quark content of neutral mesons, Phys. Rev. D 27 (1983) 1101 [INSPIRE].
A. Bramon, R. Escribano and M.D. Scadron, The η − η′ mixing angle revisited, Eur. Phys. J. C 7 (1999) 271 [hep-ph/9711229] [INSPIRE].
A. Bramon, R. Escribano and M.D. Scadron, Mixing of η − η′ mesons in J/ψ decays into a vector and a pseudoscalar meson, Phys. Lett. B 403 (1997) 339 [hep-ph/9703313] [INSPIRE].
V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, A theory of the J/ψ → η(η′)γ decays, Nucl. Phys. B 165 (1980) 55 [INSPIRE].
V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, η′ meson as pseudoscalar gluonium, Phys. Lett. B 86 (1979) 347 [INSPIRE].
V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, In a search for scalar gluonium, Nucl. Phys. B 165 (1980) 67 [INSPIRE].
A.L. Kataev, N.V. Krasnikov and A.A. Pivovarov, The connection between the scales of the gluon and quark worlds in perturbative QCD, Phys. Lett. B 107 (1981) 115 [INSPIRE].
A.L. Kataev, N.V. Krasnikov and A.A. Pivovarov, Two loop calculations for the propagators of gluonic currents, Nucl. Phys. B 198 (1982) 508 [Erratum ibid. B 490 (1997) 505] [hep-ph/9612326] [INSPIRE].
Belle collaboration, M.-C. Chang et al., Observation of the decay B0 → J/ψη, Phys. Rev. Lett. 98 (2007) 131803 [hep-ex/0609047] [INSPIRE].
Belle collaboration, M.-C. Chang et al., Measurement of B 0s → J/ψη(′) and constraint on the η − η′ mixing angle, Phys. Rev. D 85 (2012) 091102 [arXiv:1203.3399] [INSPIRE].
Belle collaboration, J. Li et al., First observation of B 0(s) → J/ψη and B 0(s) → J/ψη′, Phys. Rev. Lett. 108 (2012) 181808 [arXiv:1202.0103] [INSPIRE].
LHCb collaboration, Evidence for the decay B0 → J/ψω and measurement of the relative branching fractions of B 0s meson decays to J/ψη and J/ψη′, Nucl. Phys. B 867 (2013) 547 [arXiv:1210.2631] [INSPIRE].
T. Feldmann, P. Kroll and B. Stech, Mixing and decay constants of pseudoscalar mesons, Phys. Rev. D 58 (1998) 114006 [hep-ph/9802409] [INSPIRE].
F.-G. Cao and A.I. Signal, Two analytical constraints on the η − η′ mixing, Phys. Rev. D 60 (1999) 114012 [hep-ph/9908481] [INSPIRE].
A. Bramon, R. Escribano and M.D. Scadron, Radiative V → Pγ transitions and η − η′ mixing, Phys. Lett. B 503 (2001) 271 [hep-ph/0012049] [INSPIRE].
B.-W. Xiao and B.-Q. Ma, Photon-meson transition form-factors of light pseudoscalar mesons, Phys. Rev. D 71 (2005) 014034 [hep-ph/0501160] [INSPIRE].
R. Escribano and J.-M. Frere, Study of the η − η′ system in the two mixing angle scheme, JHEP 06 (2005) 029 [hep-ph/0501072] [INSPIRE].
R. Escribano, Short study of the η − η′ system in the two mixing angle scheme, PoS(HEP2005)418 [hep-ph/0512021] [INSPIRE].
T. Huang and X.-G. Wu, Determination of the η and η′ mixing angle from the pseudoscalar transition form factors, Eur. Phys. J. C 50 (2007) 771 [hep-ph/0612007] [INSPIRE].
F. Ambrosino et al., A global fit to determine the pseudoscalar mixing angle and the gluonium content of the η′ meson, JHEP 07 (2009) 105 [arXiv:0906.3819] [INSPIRE].
C.E. Thomas, Composition of the pseudoscalar η and η′ mesons, JHEP 10 (2007) 026 [arXiv:0705.1500] [INSPIRE].
R. Escribano and J. Nadal, On the gluon content of the η and η′ mesons, JHEP 05 (2007) 006 [hep-ph/0703187] [INSPIRE].
R. Escribano, J/ψ → VP decays and the quark and gluon content of the η and η′, Eur. Phys. J. C 65 (2010) 467 [arXiv:0807.4201] [INSPIRE].
CLEO collaboration, J. Yelton et al., Absolute branching fraction measurements for exclusive D(s) semileptonic decays, Phys. Rev. D 80 (2009) 052007 [arXiv:0903.0601] [INSPIRE].
CLEO collaboration, J. Yelton et al., Studies of D+ → {η′, η, ϕ}e+νe, Phys. Rev. D 84 (2011) 032001 [arXiv:1011.1195] [INSPIRE].
B. Bhattacharya and J.L. Rosner, Decays of charmed mesons to PV final states, Phys. Rev. D 79 (2009) 034016 [Erratum ibid. D 81 (2010) 099903] [arXiv:0812.3167] [INSPIRE].
B. Bhattacharya and J.L. Rosner, Charmed meson decays to two pseudoscalars, Phys. Rev. D 81 (2010) 014026 [arXiv:0911.2812] [INSPIRE].
B. Bhattacharya and J.L. Rosner, Effect of η − η′ mixing on D → PV decays, Phys. Rev. D 82 (2010) 037502 [arXiv:1005.2159] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Branching fraction measurements of the color-suppressed decays \( {\overline{\mathrm{B}}}^0 \) → D*0π0 , D*0η, D*0ω, and D*0η′ and measurement of the polarization in the decay \( {\overline{\mathrm{B}}}^0 \) → D*0ω, Phys. Rev. D 84 (2011) 112007 [arXiv:1107.5751] [INSPIRE].
S.V. Donskov et al., Measurement of the mixing angle in pseudoscalar meson sector π− and K− beams with GAMS-4π setup, Eur. Phys. J. C 73 (2013) 2614 [arXiv:1301.6987] [INSPIRE].
LHCb collaboration, The LHCb detector at the LHC, 2008 JINST 3 S08005 [INSPIRE].
R. Aaij et al., Performance of the LHCb vertex locator, 2014 JINST 9 P09007 [arXiv:1405.7808] [INSPIRE].
LHCb Outer Tracker group collaboration, R. Arink et al., Performance of the LHCb outer tracker, 2014 JINST 9 P01002 [arXiv:1311.3893] [INSPIRE].
LHCb RICH Group collaboration, M. Adinolfi et al., Performance of the LHCb RICH detector at the LHC, Eur. Phys. J. C 73 (2013) 2431 [arXiv:1211.6759] [INSPIRE].
A.A. Alves Jr. et al., Performance of the LHCb muon system, 2013 JINST 8 P02022 [arXiv:1211.1346] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, Pythia 6.4 Physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, A Brief Introduction to Pythia 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].
I. Belyaev et al., Handling of the generation of primary events in Gauss, the LHCb simulation framework, IEEE Nucl. Sci. Symp. Conf. Rec. (NSS/MIC) (2010) 1155.
D.J. Lange, The EvtGen particle decay simulation package, Nucl. Instrum. Meth. A 462 (2001) 152 [INSPIRE].
P. Golonka and Z. Was, Photos Monte Carlo: A precision tool for QED corrections in Z and W decays, Eur. Phys. J. C 45 (2006) 97 [hep-ph/0506026] [INSPIRE].
Geant4 collaboration, J. Allison et al., Geant4 developments and applications, IEEE Trans. Nucl. Sci. 53 (2006) 270 [INSPIRE].
Geant4 collaboration, S. Agostinelli et al., Geant4: A simulation toolkit, Nucl. Instrum. Meth. A 506 (2003) 250 [INSPIRE].
LHCb collaboration, The LHCb simulation application, Gauss: Design, evolution and experience, J. Phys. Conf. Ser. 331 (2011) 032023 [INSPIRE].
LHCb collaboration, Observations of B 0s → ψ(2S)η and B 0(s) → ψ(2S)π+π− decays, Nucl. Phys. B 871 (2013) 403 [arXiv:1302.6354] [INSPIRE].
F. Archilli et al., Performance of the muon identification at LHCb, 2013 JINST 8 P10020 [arXiv:1306.0249] [INSPIRE].
LHCb collaboration, Measurement of the ratio of prompt χc to J/ψ production in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Lett. B 718 (2012) 431 [arXiv:1204.1462] [INSPIRE].
Particle Data Group, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 and online at http://pdg.lbl.gov/.
W.D. Hulsbergen, Decay chain fitting with a Kalman filter, Nucl. Instrum. Meth. A 552 (2005) 566 [physics/0503191] [INSPIRE].
LHCb collaboration, Observation of J/ψ -pair production in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Lett. B 707 (2012) 52 [arXiv:1109.0963] [INSPIRE].
M. Pivk and F.R. Le Diberder, SPlot: A Statistical tool to unfold data distributions, Nucl. Instrum. Meth. A 555 (2005) 356 [physics/0402083] [INSPIRE].
LHCb collaboration, Updated average fs/fd b-hadron production fraction ratio for 7 TeV pp collisions, LHCb-CONF-2013-011.
LHCb collaboration, Measurement of b hadron production fractions in 7 TeV pp collisions, Phys. Rev. D 85 (2012) 032008 [arXiv:1111.2357] [INSPIRE].
LHCb collaboration, Determination of fs/fd for 7 TeV pp collisions and measurement of the B0 → D−K+ branching fraction, Phys. Rev. Lett. 107 (2011) 211801 [arXiv:1106.4435] [INSPIRE].
LHCb collaboration, Measurement of the fragmentation fraction ratio fs/fd and its dependence on B meson kinematics, JHEP 04 (2013) 001 [arXiv:1301.5286] [INSPIRE].
LHCb collaboration, Observation of B 0s → χc1ϕ decay and study of B0 → χc1,2K*0 decays, Nucl. Phys. B 874 (2013) 663 [arXiv:1305.6511] [INSPIRE].
LHCb collaboration, Evidence for the decay X(3872) → ψ(2S)γ, Nucl. Phys. B 886 (2014) 665 [arXiv:1404.0275] [INSPIRE].
LHCb collaboration, Measurement of relative branching fractions of B decays to ψ(2S) and J/ψ mesons, Eur. Phys. J. C 72 (2012) 2118 [arXiv:1205.0918] [INSPIRE].
S. Dubnicka, A.Z. Dubnickova, M.A. Ivanov and A. Liptaj, Decays B 0s → J/ψ + η and B 0s → J/ψ + η′ in the framework of covariant quark model, Phys. Rev. D 87 (2013) 074201 [arXiv:1301.0738] [INSPIRE].
P. Colangelo, F. De Fazio and W. Wang, Nonleptonic B 0s to charmonium decays: analyses in pursuit of determining the weak phase β s, Phys. Rev. D 83 (2011) 094027 [arXiv:1009.4612] [INSPIRE].
R.N. Faustov and V.O. Galkin, Rare B 0s decays in the relativistic quark model, Eur. Phys. J. C 73 (2013) 2593 [arXiv:1309.2160] [INSPIRE].
CDF collaboration, F. Abe et al., Observation of B+ → ψ(2S)K+ and B0 → ψ(2S)K*0(892) decays and measurements of B meson branching fractions into J/ψ and ψ(2S) final states, Phys. Rev. D 58 (1998) 072001 [hep-ex/9803013] [INSPIRE].
CDF collaboration, A. Abulencia et al., Observation of B 0s → ψ(2S)ϕ and measurement of ratio of branching fractions ℬ(B 0s → ψ(2S)ϕ)/ℬ(B 0s → J/ψϕ), Phys. Rev. Lett. 96 (2006) 231801 [hep-ex/0602005] [INSPIRE].
D0 collaboration, V.M. Abazov et al., Relative rates of B meson decays into ψ(2S) and J/ψ mesons, Phys. Rev. D 79 (2009) 111102 [arXiv:0805.2576] [INSPIRE].
LHCb collaboration, Observation of the decay B +c → ψ(2S)π+, Phys. Rev. D 87 (2013) 071103(R) [arXiv:1303.1737] [INSPIRE].
LHCb collaboration, Measurement of CP violation and the B 0s meson decay width difference with B 0s → J/ψ K+K− and B 0s → J/ψπ−π− decays, Phys. Rev. D 87 (2013) 112010 [arXiv:1304.2600] [INSPIRE].
K. De Bruyn, R. Fleischer, R. Knegjens, P. Koppenburg, M. Merk and N. Tuning, Branching ratio measurements of B 0s decays, Phys. Rev. D 86 (2012) 014027 [arXiv:1204.1735] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Consortia
Corresponding author
Additional information
ArXiv ePrint: 1411.0943
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
The LHCb collaboration., Aaij, R., Adeva, B. et al. Study of η − η′ mixing from measurement of B 0(s) → J/ψη(′) decay rates. J. High Energ. Phys. 2015, 24 (2015). https://doi.org/10.1007/JHEP01(2015)024
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2015)024