Journal of High Energy Physics

, 2010:82 | Cite as

Family non-universal Z′ effects on \( {\bar B_q} - {B_q} \) mixing, BX s μ + μ and B s μ + μ decays

Article

Abstract

Motivated by the large discrepancy of CP-violating phase in \( {\bar B_s} - {B_s} \) mixing between the experimental data and the Standard Model prediction, we pursue possible solutions within a family non-universal Z′ model. Within such a specific model, we find that both the \( {\bar B_s} - {B_s} \) mixing anomaly and the well-known “πK puzzle” could be moderated simultaneously with a nontrivial new weak phase, ϕ s L ∼ −72° (S1) or −82° (S2). With the stringently constrained Z′ coupling B sb L , we then study the Z′ effects on the rare BX s μ + μ and B s μ + μ decays, which are also induced by the same bs transition. The observables of BX s μ + μ , at both high and low q 2 regions, are found to be able to put strong constraints on the μμZ′ coupling, B μμ L,R ∼ 10−2. It is also shown that the combined constraints from \( {\bar B_s} - {B_s} \) mixing, BπK and BX s μ + μ do not allow a large Z′ contribution to the pure leptonic B s μ + μ decay.

Keywords

Rare Decays Beyond Standard Model B-Physics 

References

  1. [1]
    D0 collaboration, V.M. Abazov et al., Measurement of B s 0 mixing parameters from the flavor-tagged decay B s 0J/ψϕ, Phys. Rev. Lett. 101 (2008) 241801 [arXiv:0802.2255] [SPIRES].CrossRefADSGoogle Scholar
  2. [2]
    CDF collaboration, T. Aaltonen et al., First Flavor-Tagged Determination of Bounds on Mixing- Induced CP-violation in B s 0J/ψϕ Decays, Phys. Rev. Lett. 100 (2008) 161802 [arXiv:0712.2397] [SPIRES].CrossRefADSGoogle Scholar
  3. [3]
    M. Bona et al., New Physics from Flavour, arXiv:0906.0953 [SPIRES].
  4. [4]
    UTfit collaboration, M. Bona et al., First Evidence of New Physics in bs Transitions, arXiv:0803.0659 [SPIRES], online update at http://www.utfit.org/NP/NP.html.
  5. [5]
    V. Niess (the CKM fitter group), CKM Fits, talk at Flavor Physics and CP Violation 2009, Lake Placid NY, online update at http://ckmfitter.in2p3.fr/.
  6. [6]
    D0 collaboration, V.M. Abazov et al., First direct two-sided bound on the B s 0 oscillation frequency, Phys. Rev. Lett. 97 (2006) 021802 [hep-ex/0603029] [SPIRES].CrossRefADSGoogle Scholar
  7. [7]
    CDF collaboration, A. Abulencia et al., Observation of \( B_s^0\bar B_s^0 \) oscillations, Phys. Rev. Lett. 97 (2006) 242003 [hep-ex/0609040] [SPIRES].CrossRefADSGoogle Scholar
  8. [8]
    A. Lenz and U. Nierste, Theoretical update of \( {B_s} - {\bar B_s} \) mixing, JHEP 06 (2007) 072 [hep-ph/0612167] [SPIRES].CrossRefADSGoogle Scholar
  9. [9]
    P. Langacker and M. Plümacher, Flavor changing effects in theories with a heavy Zboson with family nonuniversal couplings, Phys. Rev. D 62 (2000) 013006 [hep-ph/0001204] [SPIRES].ADSGoogle Scholar
  10. [10]
    G. Buchalla, G. Burdman, C.T. Hill and D. Kominis, GIM Violation and New Dynamics of the Third Generation, Phys. Rev. D 53 (1996) 5185 [hep-ph/9510376] [SPIRES].ADSGoogle Scholar
  11. [11]
    G. Burdman, K.D. Lane and T. Rador, Anti-B B mixing constrains topcolor-assisted technicolor, Phys. Lett. B 514 (2001) 41 [hep-ph/0012073] [SPIRES].ADSGoogle Scholar
  12. [12]
    A. Martin and K. Lane, CP violation and flavor mixing in technicolor models, Phys. Rev. D 71 (2005) 015011 [hep-ph/0404107] [SPIRES].ADSGoogle Scholar
  13. [13]
    E. Nardi, Z, new fermions and flavor changing processes. Constraints on E 6 models from μeee, Phys. Rev. D 48 (1993) 1240 [hep-ph/9209223] [SPIRES].ADSGoogle Scholar
  14. [14]
    J. Bernabeu, E. Nardi and D. Tommasini, μ - e conversion in nuclei and Zphysics, Nucl. Phys. B 409 (1993) 69 [hep-ph/9306251] [SPIRES].CrossRefADSGoogle Scholar
  15. [15]
    V.D. Barger, M.S. Berger and R.J.N. Phillips, Quark singlets: Implications and constraints, Phys. Rev. D 52 (1995) 1663 [hep-ph/9503204] [SPIRES].ADSGoogle Scholar
  16. [16]
    M.B. Popovic and E.H. Simmons, Weak singlet fermions: Models and constraints, Phys. Rev. D 62 (2000) 035002 [hep-ph/0001302] [SPIRES].ADSGoogle Scholar
  17. [17]
    T.G. Rizzo, Gauge kinetic mixing and leptophobic Zin E 6 and SO(10), Phys. Rev. D 59 (1999) 015020 [hep-ph/9806397] [SPIRES].ADSGoogle Scholar
  18. [18]
    M.S. Carena, A. Daleo, B.A. Dobrescu and T.M.P. Tait, Zgauge bosons at the Tevatron, Phys. Rev. D 70 (2004) 093009 [hep-ph/0408098] [SPIRES].ADSGoogle Scholar
  19. [19]
    T.G. Rizzo, Zphenomenology and the LHC, hep-ph/0610104 [SPIRES].
  20. [20]
    T.G. Rizzo, ZPhysics at the LHC and the LHeC, arXiv:0808.1906 [SPIRES].
  21. [21]
    V. Barger, C.-W. Chiang, P. Langacker and H.-S. Lee, Solution to the Bπ K puzzle in a flavor-changing Z’ model, Phys. Lett. B 598 (2004) 218 [hep-ph/0406126] [SPIRES].CrossRefADSGoogle Scholar
  22. [22]
    V. Barger, C. W. Chiang, P. Langacker and H. S. Lee, Zmediated flavor changing neutral currents in B meson decays, Phys. Lett. B 580 (2004) 186 [hep-ph/0310073] [SPIRES].ADSGoogle Scholar
  23. [23]
    V. Barger et al., bs Transitions in Family-dependent U(1)′ Models, JHEP 12 (2009) 048 [arXiv:0906.3745] [SPIRES].CrossRefGoogle Scholar
  24. [24]
    Q. Chang, X.-Q. Li and Y.-D. Yang, Constraints on the nonuniversal Zcouplings from BπK, πK * and ρK Decays, JHEP 05 (2009) 056 [arXiv:0903.0275] [SPIRES].CrossRefADSGoogle Scholar
  25. [25]
    BABAR collaboration, B. Aubert et al., Measurement of the BX s + branching fraction with a sum over exclusive modes, Phys. Rev. Lett. 93 (2004) 081802 [hep-ex/0404006] [SPIRES].CrossRefADSGoogle Scholar
  26. [26]
    Belle collaboration, M. Iwasaki et al., Improved measurement of the electroweak penguin process BX s + , Phys. Rev. D 72 (2005) 092005 [hep-ex/0503044] [SPIRES].ADSGoogle Scholar
  27. [27]
    CLEO collaboration, S. Glenn et al., Search for inclusive bsℓ + , Phys. Rev. Lett. 80 (1998) 2289 [hep-ex/9710003] [SPIRES].CrossRefADSGoogle Scholar
  28. [28]
    Heavy Flavor Averaging Group collaboration, E. Barberio et al., Averages of b−hadron and c-hadron Properties at the End of 2007, arXiv:0808.1297 [SPIRES], and online update at http://www.slac.stanford.edu/xorg/hfag.
  29. [29]
    G. Buchalla, A.J. Buras and M.E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68 (1996) 1125 [hep-ph/9512380] [SPIRES].CrossRefADSGoogle Scholar
  30. [30]
    A.J. Buras, Weak Hamiltonian, CP-violation and rare decays, hep-ph/9806471 [SPIRES].
  31. [31]
    A.J. Buras, Flavor dynamics: CP-violation and rare decays, hep-ph/0101336 [SPIRES].
  32. [32]
    A.J. Buras and M. Münz, Effective Hamiltonian for BX s e + e beyond leading logarithms in the NDR and HV schemes, Phys. Rev. D 52 (1995) 186 [hep-ph/9501281] [SPIRES].ADSGoogle Scholar
  33. [33]
    A.J. Buras, Relations betweenM(s, d) and \( B\left( {s,d} \right) \to \mu \bar \mu \) in models with minimal flavor violation, Phys. Lett. B 566 (2003) 115 [hep-ph/0303060] [SPIRES].ADSGoogle Scholar
  34. [34]
    A.J. Buras, Testing the CKM Picture of Flavour and CP-violation in Rare K and B Decays and Particle-Antiparticle Mixing, Prog. Theor. Phys. 122 (2009) 145 [arXiv:0904.4917] [SPIRES].MATHCrossRefADSGoogle Scholar
  35. [35]
    CDF collaboration, T. Aaltonen et al., Search for B s 0μ + μ and B d 0μ + μ decays with 2fb −1 of \( p\bar p \) collisions, Phys. Rev. Lett. 100 (2008) 101802 [arXiv:0712.1708] [SPIRES].CrossRefADSGoogle Scholar
  36. [36]
    DELPHI collaboration, P. Abreu et al., A Study of radiative muon pair events at Z 0 energies and limits on an additional Zgauge boson, Z. Phys. C 65 (1995) 603 [SPIRES].ADSGoogle Scholar
  37. [37]
    K.S. Babu and C. Kolda, The ZSearches, in Particle Data Group collaboration, W.M. Yao et al., Review of particle physics, J. Phys. G 33 (2006) 1 [SPIRES].
  38. [38]
    J. Erler and P. Langacker, Constraints on extended neutral gauge structures, Phys. Lett. B 456 (1999) 68 [hep-ph/9903476] [SPIRES].ADSGoogle Scholar
  39. [39]
    J. Erler and P. Langacker, Indications for an extra neutral gauge boson in electroweak precision data, Phys. Rev. Lett. 84 (2000) 212 [hep-ph/9910315] [SPIRES].CrossRefADSGoogle Scholar
  40. [40]
    J. Erler, P. Langacker, S. Munir and E.R. Pena, Improved Constraints on Z’ Bosons from Electroweak Precision Data, JHEP 08 (2009) 017 [arXiv:0906.2435] [SPIRES].CrossRefADSGoogle Scholar
  41. [41]
    E. Salvioni, G. Villadoro and F. Zwirner, Minimal Z’ models: present bounds and early LHC reach, JHEP 11 (2009) 068 [arXiv:0909.1320] [SPIRES].CrossRefGoogle Scholar
  42. [42]
    V. Barger, C.-W. Chiang, J. Jiang and P. Langacker, \( {B_s} - {\bar B_s} \) mixing in Zmodels with flavor-changing neutral currents, Phys. Lett. B 596 (2004) 229 [hep-ph/0405108] [SPIRES].ADSGoogle Scholar
  43. [43]
    K. Cheung, C.-W. Chiang, N.G. Deshpande and J. Jiang, Constraints on flavor-changing Z’ models by B/s mixing, Z’ production and B/sμ + μ , Phys. Lett. B 652 (2007) 285 [hep-ph/0604223] [SPIRES].ADSGoogle Scholar
  44. [44]
    G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavour violation: An effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [SPIRES].CrossRefADSGoogle Scholar
  45. [45]
    A.J. Buras, Minimal flavor violation, Acta Phys. Polon. B 34 (2003) 5615 [hep-ph/0310208] [SPIRES].ADSGoogle Scholar
  46. [46]
    M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, QCD factorization for Bππ decays: Strong phases and CP-violation in the heavy quark limit, Phys. Rev. Lett. 83 (1999) 1914 [hep-ph/9905312] [SPIRES].CrossRefADSGoogle Scholar
  47. [47]
    A.V. Belitsky, A. Freund and D. Mueller, NLO exclusive evolution kernels, hep-ph/0006142 [SPIRES].
  48. [48]
    M. Beneke and M. Neubert, QCD factorization for BP P and BP V decays, Nucl. Phys. B 675 (2003) 333 [hep-ph/0308039] [SPIRES].CrossRefADSGoogle Scholar
  49. [49]
    J.M. Cornwall, Dynamical Mass Generation in Continuum QCD, Phys. Rev. D 26 (1982) 1453 [SPIRES].ADSGoogle Scholar
  50. [50]
    J. Papavassiliou and J.M. Cornwall, Coupled fermion gap and vertex equations for chiral symmetry breakdown in QCD, Phys. Rev. D 44 (1991) 1285 [SPIRES].ADSGoogle Scholar
  51. [51]
    Q. Chang, X.-Q. Li and Y.-D. Yang, Revisiting BπK, πK * and ρ K Decays: Direct CP-violation and Implication for New Physics, JHEP 09 (2008) 038 [arXiv:0807.4295] [SPIRES].CrossRefADSGoogle Scholar
  52. [52]
    G. Buchalla and A.J. Buras, QCD corrections to rare K and B decays for arbitrary top quark mass, Nucl. Phys. B 400 (1993) 225 [SPIRES].CrossRefADSGoogle Scholar
  53. [53]
    A.J. Buras, M.E. Lautenbacher, M. Misiak and M. Münz, Direct CP-violation in K(L)π 0 e + e beyond leading logarithms, Nucl. Phys. B 423 (1994) 349 [hep-ph/9402347] [SPIRES].CrossRefADSGoogle Scholar
  54. [54]
    Particle Data Group collaboration, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].ADSGoogle Scholar
  55. [55]
    Y. Nir, The Mass Ratio m c/m b in Semileptonic B Decays, Phys. Lett. B 221 (1989) 184 [SPIRES].ADSGoogle Scholar
  56. [56]
    M. Misiak, The bs e + e and bs gamma decays with next-to-leading logarithmic QCD corrections, Nucl. Phys. B 393 (1993) 23 [Erratum ibid. B 439 (1995) 461] [SPIRES].CrossRefADSGoogle Scholar
  57. [57]
    M. Jezabek and J. H. Kuhn, Lepton Spectra From Heavy Quark Decay, Nucl. Phys. B 320 (1989) 20 [SPIRES].CrossRefADSGoogle Scholar
  58. [58]
    A. Ali, T. Mannel and T. Morozumi, Forward backward asymmetry of dilepton angular distribution in the decay bs ℓ + , Phys. Lett. B 273 (1991) 505 [SPIRES].ADSGoogle Scholar
  59. [59]
    Z. Ligeti and M.B. Wise, |V ub| from exclusive B and D decays, Phys. Rev. D 53 (1996) 4937 [hep-ph/9512225] [SPIRES].ADSGoogle Scholar
  60. [60]
    A. Ali, G. Hiller, L.T. Handoko and T. Morozumi, Power corrections in the decay rate and distributions in BX s + in the standard model, Phys. Rev. D 55 (1997) 4105 [hep-ph/9609449] [SPIRES].ADSGoogle Scholar
  61. [61]
    F. Krüger and L.M. Sehgal, Lepton Polarization in the Decays BX s μ + μ and BX s τ + τ , Phys. Lett. B 380 (1996) 199 [hep-ph/9603237] [SPIRES].ADSGoogle Scholar
  62. [62]
    M. Beneke, G. Buchalla, M. Neubert and C.T. Sachrajda, Penguins with Charm and Quark-Hadron Duality, Eur. Phys. J. C 61 (2009) 439 [arXiv:0902.4446] [SPIRES].CrossRefADSGoogle Scholar
  63. [63]
    T. Huber, T. Hurth and E. Lunghi, Logarithmically Enhanced Corrections to the Decay Rate and Forward Backward Asymmetry in \( \bar B \to {X_s}{\ell^{+} }{\ell^{-} } \), Nucl. Phys. B 802 (2008) 40 [arXiv:0712.3009] [SPIRES].CrossRefADSGoogle Scholar
  64. [64]
    A. Ghinculov, T. Hurth, G. Isidori and Y.P. Yao, The rare decay BX s + to NNLL precision for arbitrary dilepton invariant mass, Nucl. Phys. B 685 (2004) 351 [hep-ph/0312128] [SPIRES].CrossRefADSGoogle Scholar
  65. [65]
    M. Bartsch, M. Beylich, G. Buchalla and D.N. Gao, Precision Flavour Physics with \( B \to K\nu \bar \nu \) and BKl + l , JHEP 11 (2009) 011 [arXiv:0909.1512] [SPIRES].CrossRefGoogle Scholar
  66. [66]
    C. Bobeth, G. Hiller and G. Piranishvili, CP Asymmetries in bar \( B \to {\bar K^*}\left( { \to \bar K\pi } \right)\bar \ell \ell \) and Untagged \( {\bar B_s} \), \( {B_s} \to \phi \left( { \to {K^{+} }{K^{-} }} \right)\bar \ell \ell \) Decays at NLO, JHEP 07 (2008) 106 [arXiv:0805.2525] [SPIRES].CrossRefADSGoogle Scholar
  67. [67]
    UTfit collaboration, M. Bona et al., The 2004 UTfit Collaboration report on the status of the unitarity triangle in the standard model, JHEP 07 (2005) 028 [hep-ph/0501199] [SPIRES].Google Scholar
  68. [68]
    UTfit collaboration, M. Bona et al., The unitarity triangle fit in the standard model and hadronic parameters from lattice QCD: A reappraisal after the measurements ofm(s) and BR(Bτν/τ), JHEP 10 (2006) 081 [hep-ph/0606167] [SPIRES], online update at http://www.utfit.org/.
  69. [69]
    HPQCD collaboration, Q. Mason, H.D. Trottier, R. Horgan, C.T.H. Davies and G.P. Lepage, High-precision determination of the light-quark masses from realistic lattice QCD, Phys. Rev. D 73 (2006) 114501 [hep-ph/0511160] [SPIRES].ADSGoogle Scholar
  70. [70]
    Tevatron Electroweak Working Group collaboration, Combination of CDF and D0 Results on the Mass of the Top Quark, arXiv:0808.1089 [SPIRES].
  71. [71]
    HPQCD collaboration, E. Gamiz, C.T.H. Davies, G.P. Lepage, J. Shigemitsu and M. Wingate, Neutral B Meson Mixing in Unquenched Lattice QCD, Phys. Rev. D 80 (2009) 014503 [arXiv:0902.1815] [SPIRES].ADSGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.Institute of Particle PhysicsHuazhong Normal UniversityWuhan, HubeiP. R. China
  2. 2.Department of PhysicsHenan Normal UniversityXinxiang, HenanP.R. China
  3. 3.Institut für Theoretische Physik ERWTH Aachen UniversityAachenGermany
  4. 4.Key Laboratory of Quark & Lepton Physics, Ministry of EducationHuazhong Normal UniversityWuhan, HubeiP. R. China

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