On the interpretation of $B_s \to \mu^{+} \mu^{-}$ in the CMSSM

We discuss the interpretation of present and possible future experimental constraints on B_s to mu^+ mu^- decay in the context of the constrained minimal extension of the Standard Model (CMSSM) with universal scalar masses. We emphasize the importance of including theoretical and other experimental uncertainties in calculating the likelihood function, which can affect significantly the inferred 95% confidence-level limit on the CMSSM parameters. The principal uncertainties are the B_s meson decay constant, m_t and m_b. The latter induce uncertainties in the mass of the charged Higgs boson that dominates the B_s to mu^+ mu^- decay amplitude at large tan beta, reducing the CMSSM region excluded by present and possible future limits from the Fermilab Tevatron collider and the LHC.

[1]  J. Ellis,et al.  On radiative corrections to supersymmetric Higgs boson masses and their implications for LEP searches , 1991 .

[2]  M. Nojiri,et al.  One-loop corrections to the Higgs sector in minimal supergravity models. , 1992, Physical review. D, Particles and fields.

[3]  John Ellis,et al.  Supersymmetric dark matter in the light of CERN LEP and the Fermilab Tevatron collider , 2000 .

[4]  C. Lim,et al.  Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL→µµ̅, K+→π+νν̅ and K0↔K̅0 , 1981 .

[5]  S. Heinemeyer,et al.  FeynHiggs: A Program for the calculation of the masses of the neutral CP even Higgs bosons in the MSSM , 2000 .

[6]  S. N. Gurzhiev,et al.  Search for the Flavor-changing Neutral Current Decay B , 2022 .

[7]  M. Passera.  The standard model prediction of the muon anomalous magnetic moment , 2004, hep-ph/0411168.

[8]  A. Holzner.  Search for the standard model Higgs boson at LEP , 2003 .

[9]  Hall,et al.  Top quark mass in supersymmetric SO(10) unification. , 1993, Physical review. D, Particles and fields.

[10]  G. Isidori,et al.  Minimal flavour violation: an effective field theory approach , 2002 .

[11]  M. Neubert.  Renormalization-group improved calculation of the $B\to X_s\gamma$ branching ratio , 2004, hep-ph/0408179.

[12]  A. Retico,et al.  Scalar flavour-changing neutral currents in the large-tan β limit , 2001, hep-ph/0110121.

[13]  Hempfling,et al.  Yukawa coupling unification with supersymmetric threshold corrections. , 1994, Physical review. D, Particles and fields.

[14]  M. Misiak,et al.  QCD corrections to FCNC decays mediated by Z penguins and W boxes , 1999, hep-ph/9901278.

[15]  S. Kraml,et al.  Improved supersymmetric QCD corrections to Higgs boson decays into quarks and squarks , 1999, hep-ph/9912463.

[16]  A. Yamada.  Radiative corrections to the Higgs masses in the minimal supersymmetric standard model , 1991 .

[17]  Delphi collaboration,et al.  Search for the Standard Model Higgs Boson at LEP , 2001, hep-ex/0107029.

[18]  Chao-shang Huang,et al.  Bs→μ+μ− and B→Xsμ+μ− in MSSM , 2003 .

[19]  Herbert K. Dreiner,et al.  Correlation of Bs --> µ+µ and (g 2)µ in Minimal Supergravity , 2001 .

[20]  R. E. Hall,et al.  Search for neutral supersymmetric Higgs Bosons in multijet events at sqrt[s]=1.96 TeV. , 2005, Physical review letters.

[21]  M. Ciuchini,et al.  Next-to-Leading QCD Corrections to B → Xsγ: Standard Model and Two-Higgs Doublet Model , 1997, hep-ph/9710335.

[22]  C. Bobeth,et al.  Analysis of neutral Higgs-boson contributions to the decays B s → l + l − and B ¯ → Kl + l − , 2001 .

[23]  $\Delta M_{d,s}$, $B^0_{d,s}\to\mu^+\mu^-$ and $B\to X_s\gamma$ in Supersymmetry at Large $\tan\beta$ , 2002, hep-ph/0210145.

[24]  K. Bos,et al.  A precision measurement of the mass of the top quark , 2004 .

[25]  Giovanni Ridolfi,et al.  Radiative corrections to the masses of supersymmetric Higgs bosons , 1991 .

[26]  Progress Towards finding Quark Masses and the QCD scale Λ from the Lattice , 2004, hep-lat/0411036.

[27]  J. Shigemitsu,et al.  B-s and D-s decay constants in three-flavor lattice QCD , 2003, hep-ph/0311130.

[28]  THE MASS OF THE b QUARK , 2002, hep-ph/0208114.

[29]  T. Hurth.  Present Status of Inclusive Rare B Decays , 2002, hep-ph/0212304.

[30]  Updated Constraints on the Minimal Supergravity Model , 2002 .

[31]  Paolo Gambino,et al.  Quark mass effects in B -> Xs gamma , 2001 .

[32]  S. Heinemeyer,et al.  The masses of the neutral ${\cal CP}$-even Higgs bosons in the MSSM: Accurate analysis at the two-loop level , 1998, hep-ph/9812472.

[33]  M. Ciuchini,et al.  Next-to-leading QCD corrections to B → Xsγ in supersymmetry , 1998, hep-ph/9806308.

[34]  Helmuth Spieler,et al.  Review of particle physics. Particle Data Group , 2004 .

[35]  C. Muñoz,et al.  Neutralino dark matter in supergravity theories with non-universal scalar and gaugino masses , 2004, hep-ph/0405057.

[36]  Berger,et al.  Supersymmetric particle spectrum. , 1994, Physical review. D, Particles and fields.

[37]  S. Gaur.  Dileptonic decay of Bs meson in SUSY models with large tanβ , 1998, hep-ph/9810307.

[38]  Updated estimate of the muon magnetic momentusing revised results from e + e-annihilation , 2003, hep-ph/0308213.

[39]  A. Dabelstein.  The one-loop renormalization of the MSSM Higgs sector and its application to the neutral scalar Higgs masses , 1994, hep-ph/9409375.

[40]  D. Nanopoulos,et al.  On the radiative corrections to the pseudo-scalar Higgs boson mass , 2000, hep-ph/0011370.

[41]  A. Belyaev,et al.  Updated Constraints on the Minimal Supergravity Model , 2002, hep-ph/0205325.

[42]  A. Buras,et al.  Scale uncertainties in the B → Xsγ decay , 1997 .

[43]  Konstantin T. Matchev,et al.  Precision corrections in the minimal supersymmetric standard model , 1996, hep-ph/9606211.

[44]  L. Lista.  Study of rare and hadronic B decays in BABAR , 2001, hep-ex/0110010.

[45]  Heather E. Logan,et al.  $B_{s,d} \to \ell^{+}\ell^{-}$ in a Two-Higgs-Doublet Model , 2000 .

[46]  M. Carena,et al.  Effective Lagrangian for the interaction in the MSSM and charged Higgs phenomenology , 1999, hep-ph/9912516.

[47]  B→Xsγ in supersymmetry: large contributions beyond the leading order , 2000, hep-ph/0009337.

[48]  J. Ellis,et al.  Renormalization-group-improved effective potential for the MSSM Higgs sector with explicit CP violation , 2000 .

[49]  M. Carena,et al.  Electroweak symmetry breaking and bottom-top Yukawa unification , 1994, hep-ph/9402253.

[50]  A. Martin,et al.  Predictions for g-2 of the muon and alpha_QED(M_Z^2) , 2003, hep-ph/0312250.

[51]  W. Boer,et al.  Predictions of SUSY masses in the minimal supersymmetric grand unified theory , 1995 .

[53]  A Dedes,et al.  Correlation of B(s) --> mu(+)mu(-) and (g - 2)(mu) in minimal supergravity. , 2001, Physical review letters.

[54]  Q. Yan,et al.  B-s--> l(+)l(-) in a type-II two-Higgs-doublet model and the minimal supersymmetric standard model , 2001 .

[55]  Supersymmetric dark matter in light of WMAP , 2003, hep-ph/0303043.

[56]  T. O. Meyer,et al.  Branching fraction and photon energy spectrum for b --> s gamma. , 2001, Physical review letters.

[57]  Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined , 2003, hep-ph/0312226.

[58]  M. Carena,et al.  Higgs boson pole masses in the MSSM with explicit CP violation , 2001, hep-ph/0111245.

[59]  A. Buras,et al.  QCD corrections to rare K- and B-decays for arbitrary top quark mass☆ , 1993 .

[60]  U. C. McNeile,et al.  An unquenched lattice QCD calculation of the mass of the bottom quark , 2004, hep-lat/0408025.

[61]  C. Lim,et al.  Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL-> Formula, K+-> + Formula and K0 Formula0 , 1981 .

[62]  T E Browder,et al.  Inclusive measurement of the photon energy spectrum in b --> sgamma decays. , 2004, Physical review letters.

[63]  J. Rosiek,et al.  Charged and neutral supersymmetric Higgs boson masses: Complete one loop analysis , 1992 .

[64]  P. Chankowski,et al.  IFT-00/16 hep-ph/0008046 B 0 d,s → µ − µ + DECAY IN THE MSSM , 2000 .

[65]  Ho-sheng Chʿen.  ICHEP 2004 : proceedings of the 32nd International Conference on High Energy Physics, Beijing, China 16-22 August 2004 , 2005 .

[66]  Q. Yan,et al.  $B_s \to$ lepton + lepton - in a general 2 HDM and MSSM , 2000 .

[67]  b ---> s gamma and supersymmetry with large tan Beta , 2000, hep-ph/0010003.

[68]  John Ellis,et al.  The MSSM Parameter Space with Non-Universal Higgs Masses , 2002 .

[69]  Christoph Bobeth,et al.  QCD corrections to , , and KL→μ+μ− in the MSSM , 2002 .

[70]  K. A. Olive,et al.  Exploration of the MSSM with non-universal Higgs masses , 2002, hep-ph/0210205.

[71]  Q. Yan,et al.  Erratum: B s → l + l − in a type-II two-Higgs-doublet model and the minimal supersymmetric standard model [Phys. Rev. D 63 , 114021 (2001)] , 2001 .

[72]  J. Rosiek,et al.  One loop corrections to the supersymmetric Higgs boson couplings and LEP phenomenology , 1992 .

[73]  Measurement of the negative muon anomalous magnetic moment to 0.7 ppm. , 2002, Physical review letters.