Abstract
The B s → μ + μ − decay plays an outstanding role in tests of the Standard Model and physics beyond it. The LHCb collaboration has recently reported the first evidence for this decay at the 3.5 σ level, with a branching ratio in the ballpark of the Standard Model prediction. Thanks to the recently established sizable decay width difference of the B s system, another observable, \( \mathcal{A}_{{\varDelta \varGamma}}^{{\mu \mu }} \), is available, which can be extracted from the time- dependent untagged B s → μ + μ − rate. If tagging information is available, a CP-violating asymmetry, S μμ , can also be determined. These two observables exhibit sensitivity to New Physics that is complementary to the branching ratio. We define and analyse scenarios in which these quantities allow us to discriminate between model-independent effective operators and their CP-violating phases. In this context we classify a selection of popular New Physics models into the considered scenarios. Furthermore, we consider specific models with tree-level FCNCs mediated by a heavy neutral gauge boson, pseudoscalar or scalar, finding striking differences in the predictions of these scenarios for the observables considered and the correlations among them. We update the Standard Model prediction for the time-integrated branching ratio taking the subtle decay width difference effects into account. We find (3.56 ± 0.18) × 10−9, and discuss the error budget.
Similar content being viewed by others
References
A.J. Buras and J. Girrbach, BSM models facing the recent LHCb data: a first look, Acta Phys. Polon. B 43 (2012) 1427 [arXiv:1204.5064] [INSPIRE].
A.J. Buras, J. Girrbach, D. Guadagnoli and G. Isidori, On the Standard Model prediction for BR(B s,d → μ + μ − ), Eur. Phys. J. C 72 (2012) 2172 [arXiv:1208.0934] [INSPIRE].
HPQCD collaboration, R. Dowdall, C. Davies, R. Horgan, C. Monahan and J. Shigemitsu, B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks, arXiv:1302.2644 [INSPIRE].
Heavy Flavor Averaging Group collaboration, Y. Amhis et al., Averages of B-hadron, C-hadron and τ -lepton properties as of early 2012, arXiv:1207.1158 [INSPIRE].
K. De Bruyn et al., Probing new physics via the \( B_s^0\to {\mu^{+}}{\mu^{-}} \) effective lifetime, Phys. Rev. Lett. 109 (2012) 041801 [arXiv:1204.1737] [INSPIRE].
LHCb collaboration, G. Raven, Measurement of the CP-violation phase ϕ s in the B s system at LHCb, arXiv:1212.4140 [INSPIRE].
J. Albrecht, Brief review of the searches for the rare decays \( B_s^0\to {\mu^{+}}{\mu^{-}} \) and B 0 → μ + μ −, Mod. Phys. Lett. A 27 (2012) 1230028 [arXiv:1207.4287] [INSPIRE].
LHCb collaboration, First evidence for the decay \( B_s^0\to {\mu^{+}}{\mu^{-}} \), Phys. Rev. Lett. 110 (2013) 021801 [arXiv:1211.2674] [INSPIRE].
K. De Bruyn et al., Branching ratio measurements of B s decays, Phys. Rev. D 86 (2012) 014027 [arXiv:1204.1735] [INSPIRE].
C.-S. Huang and W. Liao, Search for new physics via CP-violation in B d,s → ℓ + ℓ −, Phys. Lett. B 525 (2002) 107 [hep-ph/0011089] [INSPIRE].
C.-S. Huang and W. Liao, (g − 2) μ and CP asymmetries in \( B_{d,s}^0\to {\ell^{+}}{\ell^{-}} \) and b → sγ in SUSY models, Phys. Lett. B 538 (2002) 301 [hep-ph/0201121] [INSPIRE].
A. Dedes and A. Pilaftsis, Resummed effective Lagrangian for Higgs mediated FCNC interactions in the CP-violating MSSM, Phys. Rev. D 67 (2003) 015012 [hep-ph/0209306] [INSPIRE].
P.H. Chankowski, J. Kalinowski, Z. Was and M. Worek, CP violation in \( B_d^0\to {\tau^{+}}{\tau^{-}} \) decays, Nucl. Phys. B 713 (2005) 555 [hep-ph/0412253] [INSPIRE].
A.J. Buras, F. De Fazio and J. Girrbach, The anatomy of Z′ and Z with flavour changing neutral currents in the flavour precision era, JHEP 02 (2013) 116 [arXiv:1211.1896] [INSPIRE].
R. Fleischer, R. Knegjens and G. Ricciardi, Anatomy of \( B_{s,d}^0\to {J \left/ {{\psi {f_0}\left( {980} \right)}} \right.} \), Eur. Phys. J. C 71 (2011) 1832 [arXiv:1109.1112] [INSPIRE].
R. Fleischer, Penguin effects in ϕ d,s determinations, arXiv:1212.2792 [INSPIRE].
W. Altmannshofer, P. Paradisi and D.M. Straub, Model-independent constraints on new physics in b → s transitions, JHEP 04 (2012) 008 [arXiv:1111.1257] [INSPIRE].
F. Beaujean, C. Bobeth, D. van Dyk and C. Wacker, Bayesian fit of exclusive \( b\to s\overline{\ell}\ell \) decays: the Standard Model operator basis, JHEP 08 (2012) 030 [arXiv:1205.1838] [INSPIRE].
G. Buchalla, A.J. Buras and M.K. Harlander, Penguin box expansion: flavor changing neutral current processes and a heavy top quark, Nucl. Phys. B 349 (1991) 1 [INSPIRE].
G. Buchalla and A.J. Buras, The rare decays \( k\to \pi \nu \overline{\nu},\,B\to X\nu \overline{\nu} \) and B → ℓ + ℓ − : an update, Nucl. Phys. B 548 (1999) 309 [hep-ph/9901288] [INSPIRE].
M. Misiak and J. Urban, QCD corrections to FCNC decays mediated by Z penguins and W boxes, Phys. Lett. B 451 (1999) 161 [hep-ph/9901278] [INSPIRE].
R. Fleischer, On branching ratios of B s decays and the search for new physics in \( B_s^0\to {\mu^{+}}{\mu^{-}} \), arXiv:1208.2843 [INSPIRE].
I. Dunietz, R. Fleischer and U. Nierste, In pursuit of new physics with B s decays, Phys. Rev. D 63 (2001) 114015 [hep-ph/0012219] [INSPIRE].
R. Fleischer, N. Serra and N. Tuning, A new strategy for B s branching ratio measurements and the search for new physics in \( B_s^0\to {\mu^{+}}{\mu^{-}} \), Phys. Rev. D 82 (2010) 034038 [arXiv:1004.3982] [INSPIRE].
M. Misiak, Rare B-meson decays, arXiv:1112.5978 [INSPIRE].
A.J. Buras, Relations between ΔM s,d and B s,d → \( \mu \overline{\mu} \) in models with minimal flavor violation, Phys. Lett. B 566 (2003) 115 [hep-ph/0303060] [INSPIRE].
J. Laiho, E. Lunghi and R.S. Van de Water, Lattice QCD inputs to the CKM unitarity triangle analysis, Phys. Rev. D 81 (2010) 034503 [arXiv:0910.2928] [INSPIRE].
2+1 flavor lattice QCD averages webpage, http://latticeaverages.org/.
A.J. Buras, Minimal flavour violation and beyond: towards a flavour code for short distance dynamics, Acta Phys. Polon. B 41 (2010) 2487 [arXiv:1012.1447] [INSPIRE].
D. Becirevic, N. Kosnik, F. Mescia and E. Schneider, Complementarity of the constraints on new physics from B s → μ + μ − and from B → Kℓ + ℓ − decays, Phys. Rev. D 86 (2012) 034034 [arXiv:1205.5811] [INSPIRE].
A.J. Buras, F. De Fazio, J. Girrbach, R. Knegjens and M. Nagai, The anatomy of neutral scalars with FCNCs in the flavour precision era, arXiv:1303.3723 [INSPIRE].
A. Buras, P. Gambino, M. Gorbahn, S. Jager and L. Silvestrini, Universal unitarity triangle and physics beyond the Standard Model, Phys. Lett. B 500 (2001) 161 [hep-ph/0007085] [INSPIRE].
A.J. Buras, Minimal flavor violation, Acta Phys. Polon. B 34 (2003) 5615 [hep-ph/0310208] [INSPIRE].
M. Blanke, A.J. Buras, B. Duling, S. Recksiegel and C. Tarantino, FCNC processes in the littlest Higgs model with T-parity: a 2009 look, Acta Phys. Polon. B 41 (2010) 657 [arXiv:0906.5454] [INSPIRE].
A.J. Buras, F. De Fazio, J. Girrbach and M.V. Carlucci, The anatomy of quark flavour observables in 331 models in the flavour precision era, JHEP 02 (2013) 023 [arXiv:1211.1237] [INSPIRE].
M. Blanke, A.J. Buras, B. Duling, K. Gemmler and S. Gori, Rare K and B decays in a warped extra dimension with custodial protection, JHEP 03 (2009) 108 [arXiv:0812.3803] [INSPIRE].
M. Bauer, S. Casagrande, U. Haisch and M. Neubert, Flavor physics in the Randall-Sundrum model: II. Tree-level weak-interaction processes, JHEP 09 (2010) 017 [arXiv:0912.1625] [INSPIRE].
R. Barbieri, D. Buttazzo, F. Sala, D.M. Straub and A. Tesi, A 125 GeV composite Higgs boson versus flavour and electroweak precision tests, JHEP 05 (2013) 069 [arXiv:1211.5085] [INSPIRE].
D.M. Straub, Anatomy of flavour-changing Z couplings in models with partial compositeness, arXiv:1302.4651 [INSPIRE].
D. Guadagnoli and G. Isidori, BR(B s → μ + μ − ) as an electroweak precision test, arXiv:1302.3909 [INSPIRE].
A.J. Buras et al., Patterns of flavour violation in the presence of a fourth generation of quarks and leptons, JHEP 09 (2010) 106 [arXiv:1002.2126] [INSPIRE].
H.E. Logan and U. Nierste, B s,d → ℓ + ℓ − in a two Higgs doublet model, Nucl. Phys. B 586 (2000) 39 [hep-ph/0004139] [INSPIRE].
J.F. Gunion and H.E. Haber, The CP conserving two Higgs doublet model: the approach to the decoupling limit, Phys. Rev. D 67 (2003) 075019 [hep-ph/0207010] [INSPIRE].
K. Babu and C.F. Kolda, Higgs mediated B 0 → μ + μ − in minimal supersymmetry, Phys. Rev. Lett. 84 (2000) 228 [hep-ph/9909476] [INSPIRE].
G. Isidori and A. Retico, Scalar flavor changing neutral currents in the large tan β limit, JHEP 11 (2001) 001 [hep-ph/0110121] [INSPIRE].
A.J. Buras, P.H. Chankowski, J. Rosiek and L. Slawianowska, ΔM d,s , B 0 d, s → μ + μ − and B → X s γ in supersymmetry at large tan β, Nucl. Phys. B 659 (2003) 3 [hep-ph/0210145] [INSPIRE].
G. D’Ambrosio, G. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: an effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
A.J. Buras, M.V. Carlucci, S. Gori and G. Isidori, Higgs-mediated FCNCs: natural flavour conservation vs. minimal flavour violation, JHEP 10 (2010) 009 [arXiv:1005.5310] [INSPIRE].
CMS collaboration, Search for narrow resonances in dilepton mass spectra in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Lett. B 714 (2012) 158 [arXiv:1206.1849] [INSPIRE].
W. Altmannshofer and D.M. Straub, Cornering new physics in b → s transitions, JHEP 08 (2012) 121 [arXiv:1206.0273] [INSPIRE].
A.J. Buras, G. Isidori and P. Paradisi, EDMs versus CPV in B s,d mixing in two Higgs doublet models with MFV, Phys. Lett. B 694 (2011) 402 [arXiv:1007.5291] [INSPIRE].
E. Lunghi and A. Soni, Possible indications of new physics in B d -mixing and in sin(2β) determinations, Phys. Lett. B 666 (2008) 162 [arXiv:0803.4340] [INSPIRE].
A.J. Buras and D. Guadagnoli, Correlations among new CP-violating effects in ΔF = 2 observables, Phys. Rev. D 78 (2008) 033005 [arXiv:0805.3887] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1303.3820
Rights and permissions
About this article
Cite this article
Buras, A.J., Fleischer, R., Girrbach, J. et al. Probing new physics with the B s → μ + μ − time-dependent rate. J. High Energ. Phys. 2013, 77 (2013). https://doi.org/10.1007/JHEP07(2013)077
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2013)077