Supersymmetric constraints from Bsμ+μ and BK*μ+μ observables

Open Access
Article

Abstract

We study the implications of the recent LHCb limit and results on Bsμ+μ and BK*μ+μ observables in the constrained SUSY scenarios. After discussing the Standard Model predictions and carefully estimating the theoretical errors, we show the constraining power of these observables in CMSSM and NUHM. The latest limit on BR(Bsμ+μ), being very close to the SM prediction, constrains strongly the large tan β regime and we show that the various angular observables from BK*μ+μ decay can provide complementary information in particular for intermediate tan β values.

Keywords

Rare Decays B-Physics Supersymmetric Standard Model 

References

  1. [1]
    S.R. Choudhury and N. Gaur, Dileptonic decay of B s meson in SUSY models with large tan β, Phys. Lett. B 451 (1999) 86 [hep-ph/9810307] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    K. Babu and C.F. Kolda, Higgs mediated B 0μ + μ in minimal supersymmetry, Phys. Rev. Lett. 84 (2000) 228 [hep-ph/9909476] [INSPIRE].ADSCrossRefGoogle Scholar
  3. [3]
    C.-S. Huang, W. Liao, Q.-S. Yan and S.-H. Zhu, B slepton + leptonIn a general 2HDM and MSSM, Phys. Rev. D 63 (2001) 114021 [Erratum ibid. D 64 (2001) 059902] [hep-ph/0006250] [INSPIRE].
  4. [4]
    J.R. Ellis, K.A. Olive and V.C. Spanos, On the interpretation of B sμ + μ in the CMSSM, Phys. Lett. B 624 (2005) 47 [hep-ph/0504196] [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    M.S. Carena, A. Menon, R. Noriega-Papaqui, A. Szynkman and C. Wagner, Constraints on B and Higgs physics in minimal low energy supersymmetric models, Phys. Rev. D 74 (2006) 015009 [hep-ph/0603106] [INSPIRE].ADSGoogle Scholar
  6. [6]
    J.R. Ellis, S. Heinemeyer, K. Olive and G. Weiglein, Light heavy MSSM Higgs bosons at large tan β, Phys. Lett. B 653 (2007) 292 [arXiv:0706.0977] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    F. Mahmoudi, New constraints on supersymmetric models from b, JHEP 12 (2007) 026 [arXiv:0710.3791] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  8. [8]
    D. Eriksson, F. Mahmoudi and O. Stal, Charged Higgs bosons in minimal supersymmetry: updated constraints and experimental prospects, JHEP 11 (2008) 035 [arXiv:0808.3551] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    E. Golowich, J. Hewett, S. Pakvasa, A.A. Petrov and G.K. Yeghiyan, Relating B s mixing and B sμ + μ with new physics, Phys. Rev. D 83 (2011) 114017 [arXiv:1102.0009] [INSPIRE].ADSGoogle Scholar
  10. [10]
    A. Akeroyd, F. Mahmoudi and D.M. Santos, The decay B sμ + μ : updated SUSY constraints and prospects, JHEP 12 (2011) 088 [arXiv:1108.3018] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    LHCb collaboration, R. Aaij et al., Strong constraints on the rare decays B sμ + μ and B 0μ + μ , Phys. Rev. Lett. 108 (2012) 231801 [arXiv:1203.4493] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    CDF collaboration, T. Aaltonen et al., Search for B sμ + μ and B dμ + μ Decays with CDF II, Phys. Rev. Lett. 107 (2011) 239903 [arXiv:1107.2304] [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    M. Beneke, T. Feldmann and D. Seidel, Systematic approach to exclusive BVℓ + , Vγ decays, Nucl. Phys. B 612 (2001) 25 [hep-ph/0106067] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    M. Beneke, T. Feldmann and D. Seidel, Exclusive radiative and electroweak bd and bs penguin decays at NLO, Eur. Phys. J. C 41 (2005) 173 [hep-ph/0412400] [INSPIRE].ADSCrossRefGoogle Scholar
  15. [15]
    F. Krüger and J. Matias, Probing new physics via the transverse amplitudes of B 0K *0(→ K π +) + at large recoil, Phys. Rev. D 71 (2005) 094009 [hep-ph/0502060] [INSPIRE].ADSGoogle Scholar
  16. [16]
    U. Egede, T. Hurth, J. Matias, M. Ramon and W. Reece, New observables in the decay mode \( \left. {\overline B d} \right) \to {\overline K^{ * }}^0{\ell^{ + }}{\ell^{ - }} \), JHEP 11 (2008) 032 [arXiv:0807.2589] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    A. Ali, P. Ball, L. Handoko and G. Hiller, A comparative study of the decays B → (K, K *) + in standard model and supersymmetric theories, Phys. Rev. D 61 (2000) 074024 [hep-ph/9910221] [INSPIRE].ADSGoogle Scholar
  18. [18]
    G. Buchalla, G. Hiller and G. Isidori, Phenomenology of nonstandard Z couplings in exclusive semileptonic bs transitions, Phys. Rev. D 63 (2000) 014015 [hep-ph/0006136] [INSPIRE].ADSGoogle Scholar
  19. [19]
    F. Krüger and E. Lunghi, Looking for novel CP-violating effects in \( \overline B \to {K^{*}}{\ell^{ + }}{\ell^{ - }} \), Phys. Rev. D 63 (2001) 014013 [hep-ph/0008210] [INSPIRE].ADSGoogle Scholar
  20. [20]
    T. Feldmann and J. Matias, Forward backward and isospin asymmetry for BK * + decay in the standard model and in supersymmetry, JHEP 01 (2003) 074 [hep-ph/0212158] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    E. Lunghi and J. Matias, Huge right-handed current effects in BK *() + in supersymmetry, JHEP 04 (2007) 058 [hep-ph/0612166] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    W. Altmannshofer et al., Symmetries and asymmetries of BK * μ + μ decays in the standard model and beyond, JHEP 01 (2009) 019 [arXiv:0811.1214] [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    C. Bobeth, G. Hiller and G. Piranishvili, CP asymmetries in bar \( B \to {\overline K^{ * }}\left( { \to \overline K \pi } \right)\overline \ell \ell \) and untagged \( {\overline B_s},\,{B_s} \to \phi \left( { \to {K^{ + }}{K^{ - }}} \right)\overline \ell \ell \) decays at NLO, JHEP 07 (2008) 106 [arXiv:0805.2525] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    U. Egede, T. Hurth, J. Matias, M. Ramon and W. Reece, New physics reach of CP-violating observables in the decay \( \overline B d \to {\overline K^{ * }}{\ell^{ + }}{\ell^{ - }} \), PoS(EPS-HEP2009)184 [arXiv:0912.1349] [INSPIRE].
  25. [25]
    U. Egede, T. Hurth, J. Matias, M. Ramon and W. Reece, New physics reach of the decay mode \( \overline B \to {\overline K^{{ * 0}}}{\ell^{ + }}{\ell^{ - }} \), JHEP 10 (2010) 056 [arXiv:1005.0571] [INSPIRE].ADSCrossRefGoogle Scholar
  26. [26]
    C. Bobeth, G. Hiller and D. van Dyk, The benefits of \( \overline B \to {\overline K^{ * }}{l^{ + }}{l^{ - }} \) decays at low recoil, JHEP 07 (2010) 098 [arXiv:1006.5013] [INSPIRE].ADSCrossRefGoogle Scholar
  27. [27]
    E. Lunghi and A. Soni, An improved observable for the forward-backward asymmetry in BK *+ and B sϕℓ + , JHEP 11 (2010) 121 [arXiv:1007.4015] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    A.K. Alok et al., New physics in b + μ : CP-conserving observables, JHEP 11 (2011) 121 [arXiv:1008.2367] [INSPIRE].ADSCrossRefGoogle Scholar
  29. [29]
    A.K. Alok et al., New physics in b + μ : CP-violating observables, JHEP 11 (2011) 122 [arXiv:1103.5344] [INSPIRE].ADSCrossRefGoogle Scholar
  30. [30]
    C. Bobeth, G. Hiller and D. van Dyk, More benefits of semileptonic rare B decays at low recoil: CP-violation, JHEP 07 (2011) 067 [arXiv:1105.0376] [INSPIRE].ADSCrossRefGoogle Scholar
  31. [31]
    A. Behring, C. Gross, G. Hiller and S. Schacht, Squark flavor implications from BK * + , arXiv:1205.1500 [INSPIRE].
  32. [32]
    F. Mahmoudi, Direct and indirect searches for new physics, arXiv:1205.3099 [INSPIRE].
  33. [33]
    LHCb collaboration, Differential branching fraction and angular analysis of the B 0K *0 μ + μ decay, LHCb-CONF-2012-008 (2012).
  34. [34]
    F. Mahmoudi, SuperIso: a program for calculating the isospin asymmetry of BK * γ in the MSSM, Comput. Phys. Commun. 178 (2008) 745 [arXiv:0710.2067] [INSPIRE].ADSMATHCrossRefGoogle Scholar
  35. [35]
    F. Mahmoudi, SuperIso v2.3: a program for calculating flavor physics observables in supersymmetry, Comput. Phys. Commun. 180 (2009) 1579 [arXiv:0808.3144] [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    G. Isidori and A. Retico, Scalar flavor changing neutral currents in the large tan β limit, JHEP 11 (2001) 001 [hep-ph/0110121] [INSPIRE].ADSCrossRefGoogle Scholar
  37. [37]
    A.J. Buras, P.H. Chankowski, J. Rosiek and L. Slawianowska, \( \Delta {M_{{d,s}}},\,B_{{^{{d,s}}}}^0 \to {\mu^{ + }}{\mu^{ - }} \) and BX s γ in supersymmetry at large tan β, Nucl. Phys. B 659 (2003) 3 [hep-ph/0210145] [INSPIRE].ADSCrossRefGoogle Scholar
  38. [38]
    C. Bobeth, T. Ewerth, F. Krüger and J. Urban, Enhancement of \( {{{B\left( {{{\overline B }_d}} \right) \to {\mu^{ + }}{\mu^{ - }}}} \left/ {{B\left( {{{\overline B }_s}} \right) \to {\mu^{ + }}{\mu^{ - }}}} \right.} \) in the MSSM with minimal flavor violation and large tan β, Phys. Rev. D 66 (2002) 074021 [hep-ph/0204225] [INSPIRE].ADSGoogle Scholar
  39. [39]
    K.G. Chetyrkin, M. Misiak and M. Münz, |ΔF| = 1 nonleptonic effective Hamiltonian in a simpler scheme, Nucl. Phys. B 520 (1998) 279 [hep-ph/9711280] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    Q.-S. Yan, C.-S. Huang, W. Liao and S.-H. Zhu, Exclusive semileptonic rare decays B → (K, K *) + in supersymmetric theories, Phys. Rev. D 62 (2000) 094023 [hep-ph/0004262] [INSPIRE].ADSGoogle Scholar
  41. [41]
    M. Czakon, U. Haisch and M. Misiak, Four-loop anomalous dimensions for radiative flavour-changing decays, JHEP 03 (2007) 008 [hep-ph/0612329] [INSPIRE].ADSCrossRefGoogle Scholar
  42. [42]
    LHCb collaboration, Tagged time-dependent angular analysis of \( {{{B_s^0 \to J}} \left/ {{\psi \phi }} \right.} \) decays at LHCb, LHCb-CONF-2012-002 (2012).
  43. [43]
    S. Descotes-Genon, J. Matias and J. Virto, An analysis of B d,s mixing angles in presence of new physics and an update of \( {B_s} \to {K^0}^{ * }{\overline K^0}^{ * } \), Phys. Rev. D 85 (2012) 034010 [arXiv:1111.4882] [INSPIRE].ADSGoogle Scholar
  44. [44]
    K. de Bruyn et al., Branching ratio measurements of B s decays, Phys. Rev. D 86 (2012) 014027 [arXiv:1204.1735] [INSPIRE].ADSGoogle Scholar
  45. [45]
    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].ADSCrossRefGoogle Scholar
  46. [46]
    C. Bobeth, T. Ewerth, F. Krüger and J. Urban, Analysis of neutral Higgs boson contributions to the decays \( {\overline B_s} \to {\ell^{ + }}{\ell^{ - }} \) and \( \overline B \to K{\ell^{ + }}{\ell^{ - }} \), Phys. Rev. D 64 (2001) 074014 [hep-ph/0104284] [INSPIRE].ADSGoogle Scholar
  47. [47]
    ETM collaboration, P. Dimopoulos et al., Lattice QCD determination of m b , f B and \( {f_{{{B_s}}}} \) with twisted mass Wilson fermions, JHEP 01 (2012) 046 [arXiv:1107.1441] [INSPIRE].ADSCrossRefGoogle Scholar
  48. [48]
    Fermilab Lattice and MILC Collaborations collaboration, A. Bazavov et al., B- and D-meson decay constants from three-flavor lattice QCD, Phys. Rev. D 85 (2012) 114506 [arXiv:1112.3051] [INSPIRE].ADSGoogle Scholar
  49. [49]
    Fermilab Lattice and MILC collaboration, E. Neil et al., B and D meson decay constants from 2 + 1 flavor improved staggered simulations, PoS(LATTICE 2011)320 [arXiv:1112.3978] [INSPIRE].
  50. [50]
    H. Na et al., The B and B s meson decay constants from lattice QCD, arXiv:1202.4914 [INSPIRE].
  51. [51]
    C. McNeile, C. Davies, E. Follana, K. Hornbostel and G. Lepage, High-precision \( {f_{{{B_s}}}} \) and HQET from relativistic lattice QCD, Phys. Rev. D 85 (2012) 031503 [arXiv:1110.4510] [INSPIRE].ADSGoogle Scholar
  52. [52]
    C. Davies, Standard model heavy flavor physics on the lattice, PoS(LATTICE 2011)019 [arXiv:1203.3862] [INSPIRE].
  53. [53]
    J. Laiho et al., 2 + 1 flavor lattice QCD averages, http://www.latticeaverages.org/.
  54. [54]
    C. Bobeth, P. Gambino, M. Gorbahn and U. Haisch, Complete NNLO QCD analysis of \( \overline B \to {X_s}{\ell^{ + }}{\ell^{ - }} \) and higher order electroweak effects, JHEP 04 (2004) 071 [hep-ph/0312090] [INSPIRE].ADSCrossRefGoogle Scholar
  55. [55]
    J. Charles et al., Predictions of selected flavour observables within the standard model, Phys. Rev. D 84 (2011) 033005 [arXiv:1106.4041] [INSPIRE].ADSGoogle Scholar
  56. [56]
    Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021, and 2011 partial update for the 2012 edition [INSPIRE].
  57. [57]
    P. Ball, V. Braun and A. Lenz, Twist-4 distribution amplitudes of the K * and ϕ mesons in QCD, JHEP 08 (2007) 090 [arXiv:0707.1201] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  58. [58]
    P. Ball and R. Zwicky, B d,sρ, ω, K * , ϕ decay form-factors from light-cone sum rules revisited, Phys. Rev. D 71 (2005) 014029 [hep-ph/0412079] [INSPIRE].ADSGoogle Scholar
  59. [59]
    P. Ball and R. Zwicky, |V td /V ts| from B, JHEP 04 (2006) 046 [hep-ph/0603232] [INSPIRE].ADSCrossRefGoogle Scholar
  60. [60]
    J. Charles, A. Le Yaouanc, L. Oliver, O. Pene and J. Raynal, Heavy to light form-factors in the heavy mass to large energy limit of QCD, Phys. Rev. D 60 (1999) 014001 [hep-ph/9812358] [INSPIRE].ADSGoogle Scholar
  61. [61]
    M. Beneke and T. Feldmann, Symmetry breaking corrections to heavy to light B meson form-factors at large recoil, Nucl. Phys. B 592 (2001) 3 [hep-ph/0008255] [INSPIRE].ADSGoogle Scholar
  62. [62]
    F. Krüger, L.M. Sehgal, N. Sinha and R. Sinha, Angular distribution and CP asymmetries in the decays \( \overline B \to {K^{ - }}{\pi^{ + }}{e^{ - }}{e^{ + }} \) and \( \overline B \to {\pi^{ - }}{\pi^{ + }}{e^{ - }}{e^{ + }} \), Phys. Rev. D 61 (2000) 114028 [Erratum ibid. D 63 (2001) 019901] [hep-ph/9907386] [INSPIRE].
  63. [63]
    J. Matias, F. Mescia, M. Ramon and J. Virto, Complete anatomy of \( {\overline B_d} - > {\overline K^{{ * 0}}}\left( { \to K\pi } \right){\ell^{ + }}{\ell^{ - }} \) and its angular distribution, JHEP 04 (2012) 104 [arXiv:1202.4266] [INSPIRE].ADSCrossRefGoogle Scholar
  64. [64]
    B. Grinstein and D. Pirjol, Exclusive rare BK * + decays at low recoil: controlling the long-distance effects, Phys. Rev. D 70 (2004) 114005 [hep-ph/0404250] [INSPIRE].ADSGoogle Scholar
  65. [65]
    C. Bobeth, G. Hiller, D. van Dyk and C. Wacker, The decay BKℓ + at low hadronic recoil and model-independent ΔB = 1 constraints, JHEP 01 (2012) 107 [arXiv:1111.2558] [INSPIRE].ADSCrossRefGoogle Scholar
  66. [66]
    CMS collaboration, S. Chatrchyan et al., Search for \( B_s^0 \to {\mu^{ + }}{\mu^{ - }} \) and B 0μ + μ decays, JHEP 04 (2012) 033 [arXiv:1203.3976] [INSPIRE].ADSCrossRefGoogle Scholar
  67. [67]
    LHCb collaboration, R. Aaij et al., Measurement of the isospin asymmetry in BK (*) μ + μ decays, JHEP 07 (2012) 133 [arXiv:1205.3422] [INSPIRE].ADSCrossRefGoogle Scholar
  68. [68]
    B. Allanach, SOFTSUSY: a program for calculating supersymmetric spectra, Comput. Phys. Commun. 143 (2002) 305 [hep-ph/0104145] [INSPIRE].ADSMATHCrossRefGoogle Scholar
  69. [69]
    LHCb collaboration, R. Aaij et al., Search for the rare decays B sμ + μ and B 0μ + μ , Phys. Lett. B 708 (2012) 55 [arXiv:1112.1600] [INSPIRE].ADSCrossRefGoogle Scholar
  70. [70]
    A. Arbey, M. Battaglia and F. Mahmoudi, Constraints on the MSSM from the Higgs sector: a pMSSM study of Higgs searches, \( B_s^0 \to {\mu^{ + }}{\mu^{ - }} \) and dark matter direct detection, Eur. Phys. J. C 72 (2012) 1906 [arXiv:1112.3032] [INSPIRE].ADSCrossRefGoogle Scholar
  71. [71]
    CMS collaboration, S. Chatrchyan et al., Search for neutral Higgs bosons decaying to tau pairs in pp collisions at \( \sqrt {s} = {7} \) TeV, Phys. Lett. B 713 (2012) 68 [arXiv:1202.4083] [INSPIRE].ADSCrossRefGoogle Scholar
  72. [72]
    ATLAS collaboration, G. Aad et al., Search for the standard model Higgs boson in the H → τ + τ decay mode in \( \sqrt {s} = {7} \) TeV pp collisions with ATLAS, arXiv:1206.5971 [INSPIRE].
  73. [73]
    M. Misiak and M. Steinhauser, NNLO QCD corrections to the \( \overline B \to {X_s}\gamma \) matrix elements using interpolation in m c, Nucl. Phys. B 764 (2007) 62 [hep-ph/0609241] [INSPIRE].ADSCrossRefGoogle Scholar
  74. [74]
    M. Misiak et al., Estimate of \( B\left( {\overline B \to {X_s}\gamma } \right) \) at \( O\left( {\alpha_s^2} \right) \), Phys. Rev. Lett. 98 (2007) 022002 [hep-ph/0609232] [INSPIRE].ADSCrossRefGoogle Scholar
  75. [75]
    Heavy Flavor Averaging Group collaboration, D. Asner et al., Averages of b-hadron, c-hadron and τ-lepton Properties, arXiv:1010.1589 [INSPIRE].
  76. [76]
    A.J. Buras, Climbing NLO and NNLO summits of weak decays, arXiv:1102.5650 [INSPIRE].
  77. [77]
    A.J. Buras, M. Gorbahn, U. Haisch and U. Nierste, Charm quark contribution to \( {K^{ + }} \to {\pi^{ + }}\nu \overline \nu \) at next-to-next-to-leading order, JHEP 11 (2006) 002 [hep-ph/0603079] [INSPIRE].ADSCrossRefGoogle Scholar
  78. [78]
    P. Gambino, M. Gorbahn and U. Haisch, Anomalous dimension matrix for radiative and rare semileptonic B decays up to three loops, Nucl. Phys. B 673 (2003) 238 [hep-ph/0306079] [INSPIRE].ADSCrossRefGoogle Scholar
  79. [79]
    C. Bobeth, M. Misiak and J. Urban, Photonic penguins at two loops and m t dependence of BR(BX s + ), Nucl. Phys. B 574 (2000) 291 [hep-ph/9910220] [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© SISSA 2012

Authors and Affiliations

  1. 1.CERN Theory Division, Physics DepartmentGeneva 23Switzerland
  2. 2.Clermont Université, Université Blaise Pascal, CNRS/IN2P3Clermont-FerrandFrance

Personalised recommendations