BK1+ decays in a family non-universal Z′ model

Regular Article - Theoretical Physics

Abstract

The implications of the family non-universal Z′ model in the BK1(1270,1400)+(=e ,μ ,τ) decays are explored, where the mass eigenstates K1(1270, 1400) are the mixtures of 1P1 and 3P1 states with the mixing angle θ. In this work, considering the Z′ boson and setting the mixing angle θ=(−34±13), we analyze the branching ratio, the dilepton invariant mass spectrum, the normalized forward–backward asymmetry and lepton polarization asymmetries of each decay mode. We find that all observables of BK1(1270)μ+μ are sensitive to the Z′ contribution. Moreover, the observables of BK1(1400)μ+μ have a relatively strong θ-dependence; thus, the Z′ contribution will be buried by the uncertainty of the mixing angle θ. Furthermore, the zero crossing position in the FBA spectrum of BK1(1270)μ+μ at low dilepton mass will move to the positive direction with Z′ contribution. For the tau modes, the effects of Z′ are not remarkable due to the small phase space. These results could be tested in the running LHC-b experiment and Super-B factory.

References

  1. 1.
    H. Hatanaka, K.C. Yang, Phys. Rev. D 78, 074007 (2008). arXiv:0808.3731 [hep-ph] ADSCrossRefGoogle Scholar
  2. 2.
    R.H. Li, C.D. Lu, W. Wang, Phys. Rev. D 79, 094024 (2009). arXiv:0902.3291 [hep-ph] ADSCrossRefGoogle Scholar
  3. 3.
    M.A. Paracha, I. Ahmed, M.J. Aslam, Eur. Phys. J. C 52, 967 (2007). arXiv:0707.0733 [hep-ph] ADSCrossRefGoogle Scholar
  4. 4.
    V. Bashiry, J. High Energy Phys. 0906, 062 (2009). arXiv:0902.2578 [hep-ph] ADSCrossRefGoogle Scholar
  5. 5.
    I. Ahmed, M.A. Paracha, M.J. Aslam, Eur. Phys. J. C 54, 591 (2008). arXiv:0802.0740 [hep-ph] ADSCrossRefGoogle Scholar
  6. 6.
    A. Saddique, M.J. Aslam, C.D. Lu, Eur. Phys. J. C 56, 267 (2008). arXiv:0803.0192 [hep-ph] ADSCrossRefGoogle Scholar
  7. 7.
    I. Ahmed, M.A. Paracha, M.J. Aslam, Eur. Phys. J. C 71, 1521 (2011). arXiv:1002.3860 [hep-ph] ADSCrossRefGoogle Scholar
  8. 8.
    V. Bashiry, K. Azizi, J. High Energy Phys. 1001, 033 (2010). arXiv:0903.1505 [hep-ph] ADSCrossRefGoogle Scholar
  9. 9.
    A. Ahmed, I. Ahmed, M.A. Paracha, A. Rehman, arXiv:1105.3887 [hep-ph]
  10. 10.
    M. Suzuki, Phys. Rev. D 47, 1252 (1993) ADSCrossRefGoogle Scholar
  11. 11.
    L. Burakovsky, J.T. Goldman, Phys. Rev. D 57, 2879 (1998). arXiv:hep-ph/9703271 ADSCrossRefGoogle Scholar
  12. 12.
    H.Y. Cheng, Phys. Rev. D 67, 094007 (2003). arXiv:hep-ph/0301198 ADSCrossRefGoogle Scholar
  13. 13.
    H. Hatanaka, K.C. Yang, Phys. Rev. D 77, 094023 (2008). arXiv:0804.3198 [hep-ph] ADSCrossRefGoogle Scholar
  14. 14.
    H. Dag, A. Ozpineci, M.T. Zeyrek, J. Phys. G 38, 015002 (2011). arXiv:1001.0939 [hep-ph] ADSCrossRefGoogle Scholar
  15. 15.
    M. Bayar, K. Azizi, Eur. Phys. J. C 61, 401 (2009). arXiv:0811.2692 [hep-ph] ADSCrossRefGoogle Scholar
  16. 16.
    K.C. Yang, Phys. Rev. D 78, 034018 (2008). arXiv:0807.1171 [hep-ph] ADSCrossRefGoogle Scholar
  17. 17.
    R.H. Li, C.D. Lu, W. Wang, Phys. Rev. D 79, 034014 (2009). arXiv:0901.0307 [hep-ph] ADSCrossRefGoogle Scholar
  18. 18.
    H.Y. Cheng, C.K. Chua, Phys. Rev. D 81, 114006 (2010). arXiv:0909.4627 [hep-ph] ADSCrossRefGoogle Scholar
  19. 19.
    R.C. Verma, arXiv:1103.2973 [hep-ph]
  20. 20.
    G. Buchalla, G. Burdman, C.T. Hill, D. Kominis, Phys. Rev. D 53, 5185 (1996). arXiv:hep-ph/9510376 ADSCrossRefGoogle Scholar
  21. 21.
    E. Nardi, Phys. Rev. D 48, 1240 (1993). arXiv:hep-ph/9209223 ADSCrossRefGoogle Scholar
  22. 22.
    P. Langacker, M. Plumacher, Phys. Rev. D 62, 013006 (2000). arXiv:hep-ph/0001204 ADSCrossRefGoogle Scholar
  23. 23.
    V. Barger et al., Phys. Lett. B 580, 186 (2004). arXiv:hep-ph/0310073 ADSCrossRefGoogle Scholar
  24. 24.
    V. Barger et al., Phys. Lett. B 598, 218 (2004). arXiv:hep-ph/0406126 ADSCrossRefGoogle Scholar
  25. 25.
    V. Barger et al., arXiv:0906.3745 [hep-ph]
  26. 26.
    V. Barger et al., Phys. Rev. D 80, 055008 (2009). arXiv:0902.4507 [hep-ph] ADSCrossRefGoogle Scholar
  27. 27.
    K. Cheung et al., Phys. Lett. B 652, 285 (2007). arXiv:hep-ph/0604223 ADSCrossRefGoogle Scholar
  28. 28.
    C.W. Chiang et al., J. High Energy Phys. 0608, 075 (2006). arXiv:hep-ph/0606122 ADSCrossRefGoogle Scholar
  29. 29.
    C.H. Chen, H. Hatanaka, Phys. Rev. D 73, 075003 (2006). arXiv:hep-ph/0602140 ADSCrossRefGoogle Scholar
  30. 30.
    C.H. Chen, arXiv:0911.3479 [hep-ph]
  31. 31.
    C.W. Chiang, R.H. Li, C.D. Lu, arXiv:0911.2399 [hep-ph]
  32. 32.
    R. Mohanta, A.K. Giri, Phys. Rev. D 79, 057902 (2009). arXiv:0812.1842 [hep-ph] ADSCrossRefGoogle Scholar
  33. 33.
    J. Hua, C.S. Kim, Y. Li, Phys. Lett. B 690, 508 (2010). arXiv:1002.2532 [hep-ph] ADSCrossRefGoogle Scholar
  34. 34.
    J. Hua, C.S. Kim, Y. Li, Eur. Phys. J. C 69, 139 (2010). arXiv:1002.2531 [hep-ph] ADSCrossRefGoogle Scholar
  35. 35.
    Q. Chang, X.Q. Li, Y.D. Yang, J. High Energy Phys. 0905, 056 (2009). arXiv:0903.0275 [hep-ph] ADSCrossRefGoogle Scholar
  36. 36.
    Q. Chang, X.Q. Li, Y.D. Yang, J. High Energy Phys. 1002, 082 (2010). arXiv:0907.4408 [hep-ph] ADSCrossRefGoogle Scholar
  37. 37.
    Q. Chang, X.Q. Li, Y.D. Yang, J. High Energy Phys. 1004, 052 (2010). arXiv:1002.2758 [hep-ph] ADSCrossRefGoogle Scholar
  38. 38.
    Q. Chang, Y.H. Gao, Nucl. Phys. B 845, 179 (2011). arXiv:1101.1272 [hep-ph] ADSMATHCrossRefGoogle Scholar
  39. 39.
    P. Langacker, arXiv:0801.1345 [hep-ph]
  40. 40.
    J. Dickens, V. Gibon, C. Lazzeroni, M. Patel, CERN-LHCB-2007-038 Google Scholar
  41. 41.
    J. Dickens, V. Gibon, C. Lazzeroni, M. Patel, CERN-LHCB-2007-039 Google Scholar
  42. 42.
    B. Aubert et al. (BABAR Collaboration), Phys. Rev. Lett. 91, 221802 (2003). arXiv:hep-ex/0308042 ADSCrossRefGoogle Scholar
  43. 43.
    B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 73, 092001 (2006). arXiv:hep-ex/0604007 ADSCrossRefGoogle Scholar
  44. 44.
    B. Aubert et al. (BABAR Collaboration). Phys. Rev. D 79, 031102 (2009). arXiv:0804.4412 [hep-ex] ADSCrossRefGoogle Scholar
  45. 45.
    I. Adachi et al. (Belle Collaboration), arXiv:0810.0335 [hep-ex]
  46. 46.
    M.O. Bettler (LHCb Collaboration), arXiv:0910.0942 [hep-ex]
  47. 47.
    K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010) ADSCrossRefGoogle Scholar
  48. 48.
    G. Buchalla, A.J. Buras, M.E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996). arXiv:hep-ph/9512380 ADSCrossRefGoogle Scholar
  49. 49.
    C.S. Kim, T. Morozumi, A.I. Sanda, Phys. Lett. B 218, 343 (1989) ADSCrossRefGoogle Scholar
  50. 50.
    X.G. He, T.D. Nguyen, R.R. Volkas, Phys. Rev. D 38, 814 (1988) ADSCrossRefGoogle Scholar
  51. 51.
    B. Grinstein, M.J. Savage, M.B. Wise, Nucl. Phys. B 319, 271 (1989) ADSCrossRefGoogle Scholar
  52. 52.
    N.G. Deshpande, J. Trampetic, K. Panose, Phys. Rev. D 39, 1461 (1989) ADSCrossRefGoogle Scholar
  53. 53.
    P.J. O’Donnell, H.K.K. Tung, Phys. Rev. D 43, 2067 (1991) ADSCrossRefGoogle Scholar
  54. 54.
    N. Paver, Riazuddin, Phys. Rev. D 45, 978 (1992) ADSCrossRefGoogle Scholar
  55. 55.
    A. Ali, T. Mannel, T. Morozumi, Phys. Lett. B 273, 505 (1991) ADSCrossRefGoogle Scholar
  56. 56.
    D. Melikhov, N. Nikitin, S. Simula, Phys. Lett. B 430, 332 (1998). arXiv:hep-ph/9803343 ADSCrossRefGoogle Scholar
  57. 57.
    J.M. Soares, Nucl. Phys. B 367, 575 (1991) ADSCrossRefGoogle Scholar
  58. 58.
    G.M. Asatrian, A. Ioannisian, Phys. Rev. D 54, 5642 (1996). arXiv:hep-ph/9603318 ADSCrossRefGoogle Scholar
  59. 59.
    A.J. Buras, M. Misiak, M. Munz, S. Pokorski, Nucl. Phys. B 424, 374 (1994). arXiv:hep-ph/9311345 ADSCrossRefGoogle Scholar
  60. 60.
    M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Eur. Phys. J. C 61, 439 (2009). arXiv:0902.4446 [hep-ph] ADSCrossRefGoogle Scholar
  61. 61.
    M. Bartsch, M. Beylich, G. Buchalla, D.N. Gao, J. High Energy Phys. 0911, 011 (2009). arXiv:0909.1512 [hep-ph] ADSCrossRefGoogle Scholar
  62. 62.
    A. Khodjamirian, T. Mannel, A.A. Pivovarov, Y.M. Wang, J. High Energy Phys. 1009, 089 (2010). arXiv:1006.4945 [hep-ph] ADSCrossRefGoogle Scholar
  63. 63.
    K.G. Chetyrkin, M. Misiak, M. Munz, Phys. Lett. B 400, 206 (1997) (Erratum: Phys. Lett. B 425 (1998) 414). arXiv:hep-ph/9612313 ADSCrossRefGoogle Scholar
  64. 64.
    W. Altmannshofer, P. Ball, A. Bharucha, A.J. Buras, D.M. Straub, M. Wick, J. High Energy Phys. 0901, 019 (2009). arXiv:0811.1214 [hep-ph] ADSCrossRefGoogle Scholar
  65. 65.
    M. Bona et al., arXiv:0906.0953 [hep-ph]
  66. 66.
    M. Bona et al. (UTfit Collaboration), PMC Phys. A 3, 6 (2009). arXiv:0803.0659 [hep-ph] ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2011

Authors and Affiliations

  1. 1.Department of PhysicsYantai UniversityYantaiChina
  2. 2.Department of PhysicsChung Yuan Christian UniversityTaiwanRepublic of China

Personalised recommendations