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The European Physical Journal C

, Volume 63, Issue 3, pp 435–442 | Cite as

Branching ratio and CP violation of B c DK decays in the perturbative QCD approach

  • Jun Zhang
  • Xian-Qiao YuEmail author
Regular Article - Theoretical Physics

Abstract

In this paper, we calculate the branching ratio and direct CP asymmetry parameter of B c ± D 0 K ± in the framework of a perturbative QCD approach based on k T factorization. Besides the usual factorizable diagrams, both nonfactorizable and annihilation type contributions are taken into account. We find that (a) the branching ratio is at the order of 10−5; (b) the tree annihilation diagrams and the penguin diagrams dominate the total contribution; and (c) the direct CP asymmetry is about 7%, which can be tested in the Large Hadron Collider beauty experiments (LHC-b) at CERN.

PACS

13.25.Hw 12.38.Bx 12.39.St 

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References

  1. 1.
    N. Brambilla et al. (Quarkonium Working Group), CERN-2005-005. hep-ph/0412158
  2. 2.
    M.P. Altarelli, F. Teubert, Int. J. Mod. Phys. A 23, 5117 (2008) CrossRefADSGoogle Scholar
  3. 3.
    I.P. Gouz et al., Phys. At. Nucl. 67, 1559 (2004) CrossRefGoogle Scholar
  4. 4.
    X. Liu, X.Q. Li, Phys. Rev. D 77, 096010 (2008) CrossRefADSGoogle Scholar
  5. 5.
    A.K. Giri, B. Mawlong, R. Mohanta, Phys. Rev. D 75, 097304 (2007) CrossRefADSGoogle Scholar
  6. 6.
    A.K. Giri, B. Mawlong, R. Mohanta, Phys. Rev. D 76, 099902(E) (2007) ADSGoogle Scholar
  7. 7.
    A.K. Giri, R. Mohanta, M.P. Khanna, Phys. Rev. D 65, 034016 (2002) CrossRefADSGoogle Scholar
  8. 8.
    V.V. Kiselev, J. Phys. G 30, 1445 (2004) CrossRefADSGoogle Scholar
  9. 9.
    M.A. Ivanov, J.G. Korner, P. Santorelli, Phys. Rev. D 73, 054024 (2006) CrossRefADSGoogle Scholar
  10. 10.
    S. Fajfer, J. Kamenik, P. Singer, Phys. Rev. D 70, 074022 (2004) CrossRefADSGoogle Scholar
  11. 11.
    D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D 68, 094020 (2003) CrossRefADSGoogle Scholar
  12. 12.
    D. Ebert, R.N. Faustov, V.O. Galkin, Eur. Phys. J. C 32, 29 (2003) CrossRefADSGoogle Scholar
  13. 13.
    V.V. Kiselev, O.N. Pakhomova, V.A. Saleev, J. Phys. G 28, 595 (2002) CrossRefADSGoogle Scholar
  14. 14.
    G.L. Castro, H.B. Mayorga, J.H. Munoz, J. Phys. G 28, 2241 (2002) CrossRefADSGoogle Scholar
  15. 15.
    R.C. Verma, A. Sharma, Phys. Rev. D 65, 114007 (2002) CrossRefADSGoogle Scholar
  16. 16.
    R.C. Verma, A. Sharma, Phys. Rev. D 64, 114018 (2001) CrossRefADSGoogle Scholar
  17. 17.
    V.V. Kiselev, A.E. Kovalsky, A.K. Likhoded, Nucl. Phys. B 585, 353 (2000) CrossRefADSGoogle Scholar
  18. 18.
    V.V. Kiselev, arXiv:hep-ph/0211021
  19. 19.
    V.A. Saleev, Phys. At. Nucl. 64, 2027 (2001) CrossRefGoogle Scholar
  20. 20.
    O.N. Pakhomova, V.A. Saleev, Phys. At. Nucl. 63, 1999 (2000) CrossRefGoogle Scholar
  21. 21.
    P. Colangelo, F.D. Fazio, Phys. Rev. D 61, 034012 (2000) CrossRefADSGoogle Scholar
  22. 22.
    R. Fleischer, D. Wyler, Phys. Rev. D 62, 057503 (2000) CrossRefADSGoogle Scholar
  23. 23.
    A.A. El-Hady, J.H. Munoz, J.P. Vary, Phys. Rev. D 62, 014019 (2000) CrossRefADSGoogle Scholar
  24. 24.
    L.B. Guo, D.S. Du, Chin. Phys. Lett. 18, 498 (2001) CrossRefADSGoogle Scholar
  25. 25.
    Y.S. Dai, D.S. Du, Eur. Phys. J. C 9, 557 (1999) ADSGoogle Scholar
  26. 26.
    D.S. Du, Z.T. Wei, Eur. Phys. J. C 5, 705 (1998) ADSGoogle Scholar
  27. 27.
    J.F. Liu, K.T. Chao, Phys. Rev. D 56, 4133 (1997) CrossRefADSGoogle Scholar
  28. 28.
    D.S. Du, G.R. Lu, Y.D. Yang, Phys. Lett. B 387, 187 (1996) CrossRefADSGoogle Scholar
  29. 29.
    A.V. Berezhnoi et al., Phys. At. Nucl. 60, 1729 (1997) Google Scholar
  30. 30.
    S.S. Gershtein et al., hep-ph/9803433
  31. 31.
    S.S. Gershtein et al., Phys. Usp. 38, 1 (1995) CrossRefADSGoogle Scholar
  32. 32.
    V.V. Kiselev, hep-ph/9605451
  33. 33.
    C.H. Chang, Y.Q. Chen, Phys. Rev. D 49, 3399 (1994) CrossRefADSGoogle Scholar
  34. 34.
    Q.P. Xu, A.N. Kamal, Phys. Rev. D 46, 3836 (1992) CrossRefADSGoogle Scholar
  35. 35.
    M. Masetti, Phys. Lett. B 286, 160 (1992) CrossRefADSGoogle Scholar
  36. 36.
    D. Du, Z. Wang, Phys. Rev. D 39, 1342 (1989) CrossRefADSGoogle Scholar
  37. 37.
    J. Sun et al., Phys. Rev. D 77, 074013 (2008) CrossRefADSGoogle Scholar
  38. 38.
    J. Sun et al., Phys. Rev. D 77, 114004 (2008) CrossRefADSGoogle Scholar
  39. 39.
    J.-F. Cheng, D.-S. Du, C.-D. Lü, Eur. Phys. J. C 45, 711 (2006) CrossRefADSGoogle Scholar
  40. 40.
    J.-F. Sun, D.-S. Du, Y.-L. Yang, Eur. Phys. J. C 60, 107 (2009) CrossRefADSGoogle Scholar
  41. 41.
    J. Schwinger, Phys. Rev. Lett. 12, 630 (1964) CrossRefADSMathSciNetGoogle Scholar
  42. 42.
    M. Wirbel, B. Stech, M. Bauer, Z. Phys. C 29, 637 (1985) CrossRefADSGoogle Scholar
  43. 43.
    M. Bauer, B. Stech, M. Wirbel, Z. Phys. C 34, 103 (1987) CrossRefADSGoogle Scholar
  44. 44.
    L.-L. Chau et al., Phys. Rev. D 43, 2176 (1991) CrossRefADSMathSciNetGoogle Scholar
  45. 45.
    L.-L. Chau et al., Phys. Rev. D 58, 019902(E) (1998) CrossRefADSMathSciNetGoogle Scholar
  46. 46.
    M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Phys. Rev. Lett. 83, 1914 (1999) CrossRefADSGoogle Scholar
  47. 47.
    M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 591, 313 (2000) CrossRefADSGoogle Scholar
  48. 48.
    H.-N. Li, H.L. Yu, Phys. Rev. Lett. 74, 4388 (1995) CrossRefADSGoogle Scholar
  49. 49.
    H.-N. Li, H.L. Yu, Phys. Lett. B 353, 301 (1995) CrossRefADSMathSciNetGoogle Scholar
  50. 50.
    H.-N. Li, Phys. Lett. B 348, 597 (1995) CrossRefADSGoogle Scholar
  51. 51.
    H.-N. Li, H.L. Yu, Phys. Rev. D 53, 2480 (1996) CrossRefADSGoogle Scholar
  52. 52.
    G. Buchalla, A.J. Buras, M.E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996) CrossRefADSGoogle Scholar
  53. 53.
    H.-N. Li, B. Tseng, Phys. Rev. D 57, 443 (1998) CrossRefADSGoogle Scholar
  54. 54.
    W.-M. Yao et al. (Particle Data Group), J. Phys. G 33, 1 (2006) CrossRefADSGoogle Scholar
  55. 55.
    T.W. Chiu, T.H. Hsieh (TWQCD Collaboration), PoS LAT2006, 180 (2007) Google Scholar
  56. 56.
    S. Narison, Phys. Lett. B 520, 115 (2001) CrossRefADSGoogle Scholar
  57. 57.
    S. Hashimoto, Int. J. Mod. Phys. A 20, 5133 (2005) CrossRefADSGoogle Scholar
  58. 58.
    C.D. Lü, Eur. Phys. J. C 24, 121 (2002) CrossRefADSGoogle Scholar
  59. 59.
    P. Colangelo, G. Nardulli, N. Paver, Z. Phys. C 57, 43 (1993) CrossRefADSGoogle Scholar
  60. 60.
    M.A. Nobes, R.M. Woloshyn, J. Phys. G 26, 1079 (2000) CrossRefADSGoogle Scholar
  61. 61.
    M.A. Ivanov, J.G. Korner, P. Santorelli, Phys. Rev. D 63, 074010 (2001) CrossRefADSGoogle Scholar
  62. 62.
    F. Zuo, T. Huang, Chin. Phys. Lett. 24, 61 (2007) CrossRefADSGoogle Scholar
  63. 63.
    F. Zuo, T. Huang, Eur. Phys. J. C 51, 833 (2007) CrossRefADSGoogle Scholar
  64. 64.
    R. Dhir, N. Sharma, R.C. Verma, J. Phys. G 35, 085002 (2008) CrossRefADSGoogle Scholar
  65. 65.
    R. Dhir, R.C. Verma, Phys. Rev. D 79, 034004 (2009) CrossRefADSGoogle Scholar
  66. 66.
    W. Wang, Y.L. Shen, C.D. Lü, Phys. Rev. D 79, 054012 (2009) CrossRefADSGoogle Scholar
  67. 67.
    T. Kurimoto, H.-N. Li, A.I. Sanda, Phys. Rev. D 67, 054028 (2003) CrossRefADSGoogle Scholar
  68. 68.
    A. Khodjamirian, T. Mannel, M. Melcher, Phys. Rev. D 70, 094002 (2004) CrossRefADSGoogle Scholar
  69. 69.
    V.M. Braun, A. Lenz, Phys. Rev. D 70, 074020 (2004) CrossRefADSGoogle Scholar
  70. 70.
    H.-N. Li, K. Ukai, Phys. Lett. B 555, 197 (2003) CrossRefADSGoogle Scholar
  71. 71.
    H.-N. Li, B. Melic, Eur. Phys. J. C 11, 695 (1999) ADSGoogle Scholar
  72. 72.
    T. Kurimoto, H.-N. Li, A.I. Sanda, Phys. Rev. D 65, 014007 (2002) CrossRefADSGoogle Scholar
  73. 73.
    C.D. Lü, M.Z. Yang, Eur. Phys. J. C 28, 515 (2003) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2009

Authors and Affiliations

  1. 1.School of Physical Science and TechnologySouthwest UniversityChongqingChina

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