Advertisement

Determining weak phase γ and probing new physics in b→s transitions from B→η(’)K

  • Yu-Feng ZhouEmail author
Theoretical Physics

Abstract

We present a method of determining the weak phase γ in the Cabibbo–Kobayashi–Maskawa matrix from the decays B→ηK,η’K alone. Given a large ratio between color-suppressed and color-allowed tree diagrams extracted from global ππ(K) fits, γ is determined from the current data of η’K and the result is in agreement with the global standard model (SM) fits. However, a smaller ratio from factorization based calculations gives γ∼90°. New physics beyond the SM can be distinguished if γ obtained in the η’K modes is significantly different from the ones from other modes or other approaches. The effective value of γ from η’K is very sensitive to new physics contributions and can be used to extract new physics parameters for a class of models which do not give contributions to strong phases significantly.

Keywords

Field Theory Elementary Particle Quantum Field Theory Physic Parameter Current Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    CKMfitter Group, J. Charles et al., hep-ph/0406184 (2004)Google Scholar
  2. 2.
    UTfit Collab., M. Bona et al., hep-ph/0501199 (2005)Google Scholar
  3. 3.
    M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 606, 245 (2001) [hep-ph/0104110]CrossRefADSGoogle Scholar
  4. 4.
    M. Beneke, M. Neubert, Nucl. Phys. B 675, 333 (2003) [hep-ph/0308039]CrossRefADSGoogle Scholar
  5. 5.
    Y.-Y. Keum, H.-N. Li, A.I. Sanda, Phys. Lett. B 504, 6 (2001) [hep-ph/0004004]CrossRefADSGoogle Scholar
  6. 6.
    Y.-Y. Keum, hep-ph/0209208 (2002)Google Scholar
  7. 7.
    Y.Y. Keum, A.I. Sanda, Phys. Rev. D 67, 054009 (2003) [hep-ph/0209014]CrossRefADSGoogle Scholar
  8. 8.
    C.W. Bauer, D. Pirjol, I.Z. Rothstein, I.W. Stewart, Phys. Rev. D 70, 054015 (2004) [hep-ph/0401188]CrossRefADSGoogle Scholar
  9. 9.
    C.W. Bauer, I.Z. Rothstein, I.W. Stewart, hep-ph/0412120 (2004)Google Scholar
  10. 10.
    Y. Grossman, A. Hocker, Z. Ligeti, D. Pirjol, hep-ph/ 0506228 (2005)Google Scholar
  11. 11.
    D. Zeppenfeld, Zeit. Phys. C 8, 77 (1981)CrossRefGoogle Scholar
  12. 12.
    M.J. Savage, M.B. Wise, Nucl. Phys. B 326, 15 (1989)CrossRefADSGoogle Scholar
  13. 13.
    L.-L. Chau, H.-Y. Cheng, W.K. Sze, H. Yao, B. Tseng, Phys. Rev. D 43, 2176 (1991)MathSciNetCrossRefADSGoogle Scholar
  14. 14.
    M. Gronau, O.F. Hernandez, D. London, J.L. Rosner, Phys. Rev. D 50, 4529 (1994) [hep-ph/9404283]CrossRefADSGoogle Scholar
  15. 15.
    M. Gronau, O.F. Hernandez, D. London, J.L. Rosner, Phys. Rev. D 52, 6374 (1995) [hep-ph/9504327]CrossRefADSGoogle Scholar
  16. 16.
    M. Gronau, J.L. Rosner, Phys. Rev. D 53, 2516 (1996) [hep-ph/9509325]CrossRefADSGoogle Scholar
  17. 17.
    M. Gronau, J.L. Rosner, Phys. Rev. D 66, 053003 (2002) [hep-ph/0205323]CrossRefADSGoogle Scholar
  18. 18.
    C.-W. Chiang, hep-ph/0502183 (2005)Google Scholar
  19. 19.
    Y.-L. Wu, Y.-F. Zhou, Phys. Rev. D 62, 036007 (2000) [hep-ph/0002227]CrossRefADSGoogle Scholar
  20. 20.
    Y.F. Zhou, Y.L. Wu, J.N. Ng, C.Q. Geng, Phys. Rev. D 63, 054011 (2001) [hep-ph/0006225]CrossRefADSGoogle Scholar
  21. 21.
    X.G. He et al., Phys. Rev. D 64, 034002 (2001) [hep-ph/ 0011337]CrossRefGoogle Scholar
  22. 22.
    A. Ali, E. Lunghi, A.Y. Parkhomenko, Eur. Phys. J. C 36, 183 (2004) [hep-ph/0403275]CrossRefADSGoogle Scholar
  23. 23.
    C.-W. Chiang, M. Gronau, J.L. Rosner, D.A. Suprun, Phys. Rev. D 70, 034020 (2004) [hep-ph/0404073]CrossRefADSGoogle Scholar
  24. 24.
    Y.-L. Wu, Y.-F. Zhou, Phys. Rev. D 71, 021701 (2005) [hep-ph/0409221]CrossRefADSGoogle Scholar
  25. 25.
    Y.-L. Wu, Y.-F. Zhou, Phys. Rev. D 72, 034037 (2005) [hep-ph/0503077]CrossRefADSGoogle Scholar
  26. 26.
    A.J. Buras, R. Fleischer, S. Recksiegel, F. Schwab, Phys. Rev. Lett. 92, 101804 (2004) [hep-ph/0312259]CrossRefADSGoogle Scholar
  27. 27.
    A.J. Buras, R. Fleischer, S. Recksiegel, F. Schwab, Nucl. Phys. B 697, 133 (2004) [hep-ph/0402112]CrossRefADSGoogle Scholar
  28. 28.
    A.J. Buras, R. Fleischer, S. Recksiegel, F. Schwab, hep-ph/0410407 (2004)Google Scholar
  29. 29.
    T. Yoshikawa, Phys. Rev. D 68, 054023 (2003) [hep-ph/0306147]CrossRefADSGoogle Scholar
  30. 30.
    S. Mishima T. Yoshikawa, Phys. Rev. D 70, 094024 (2004) [hep-ph/0408090]CrossRefADSGoogle Scholar
  31. 31.
    G. Buchalla, G. Hiller, Y. Nir, G. Raz, hep-ph/0503151 (2005)Google Scholar
  32. 32.
    M. Beneke, hep-ph/0505075 (2005)Google Scholar
  33. 33.
    C.S. Kim, Y.J. Kwon, J. Lee, T. Yoshikawa, hep-ph/ 0509015 (2005)Google Scholar
  34. 34.
    X.-G. He, B.H.J. McKellar, hep-ph/0410098 (2004)Google Scholar
  35. 35.
    Y.-Y. Charng, H.-N. Li, hep-ph/0410005 (2004)Google Scholar
  36. 36.
    C.S. Kim, S. Oh, C. Yu, hep-ph/0505060 (2005)Google Scholar
  37. 37.
    M. Neubert, JHEP 02, 014 (1999) [hep-ph/9812396]CrossRefADSGoogle Scholar
  38. 38.
    M. Gronau, J.L. Rosner, Phys. Lett. B 572, 43 (2003) [hep-ph/0307095]CrossRefADSGoogle Scholar
  39. 39.
    M. Imbeault, A.S.-L. Lemerle, V. Page, D. London, Phys. Rev. Lett. 92, 081801 (2004) [hep-ph/0309061]CrossRefADSGoogle Scholar
  40. 40.
    S. Baek, P. Hamel, D. London, A. Datta, D.A. Suprun, Phys. Rev. D 71, 057502 (2005) [hep-ph/0412086]CrossRefADSGoogle Scholar
  41. 41.
    A.S. Dighe, Phys. Rev. D 54, 2067 (1996) [hep-ph/9509287]CrossRefADSGoogle Scholar
  42. 42.
    A.S. Dighe, M. Gronau, J.L. Rosner, Phys. Lett. B 367, 357 (1996) [hep-ph/9509428]CrossRefADSGoogle Scholar
  43. 43.
    A.S. Dighe, M. Gronau, J.L. Rosner, Phys. Rev. Lett. 79, 4333 (1997) [hep-ph/9707521]CrossRefADSGoogle Scholar
  44. 44.
    H.-K. Fu, X.-G. He, Y.-K. Hsiao, Phys. Rev. D 69, 074002 (2004) [hep-ph/0304242]CrossRefADSGoogle Scholar
  45. 45.
    C.-W. Chiang, Z.-M. Luo, J.L. Rosner, Phys. Rev. D 67, 014001 (2003) [hep-ph/0209272]CrossRefADSGoogle Scholar
  46. 46.
    Y.-L. Wu, M. Zhong, Y.-F. Zhou, Eur. Phys. J. C 42, 391 (2005) [hep-ph/0405080]CrossRefADSGoogle Scholar
  47. 47.
    H. Leutwyler, Nucl. Phys. Proc. Suppl. 64, 223 (1998) [hep-ph/9709408]CrossRefADSGoogle Scholar
  48. 48.
    T. Feldmann, Int. J. Mod. Phys. A 15, 159 (2000) [hep-ph/9907491]CrossRefADSGoogle Scholar
  49. 49.
    BaBar Collab., B. Aubert et al., Phys. Rev. Lett. 94, 191802 (2005) [hep-ex/0502017]CrossRefGoogle Scholar
  50. 50.
    BELLE Collab., K. Abe et al., hep-ex/0409049 (2004)Google Scholar
  51. 51.
    Heavy flavor average group, http://www.slac.stanford.edu/ xorg/hfag/rareGoogle Scholar
  52. 52.
    M. Gronau, J.L. Rosner, Phys. Rev. D 53, 2516 (1996); A.S. Dighe, M. Gronau, J.L. Rosner, Phys. Lett. B 367, 357 (1996); [Erratum ibid. B 377, 325 (1996)]; A.S. Dighe, M. Gronau, J.L. Rosner, Phys. Lett. B 367, 357 (1996); [Erratum ibid. B 377, 325 (1996)]; A.S. Dighe, M. Gronau, J.L. Rosner, Phys. Rev. Lett. 79, 4333 (1997); A. Ali, C. Greub, Phys. Rev. D 57, 2996 (1998); M. Gronau, J.L. Rosner, Phys. Rev. D 61, 073008 (2000); C.W. Chiang, J.L. Rosner, Phys. Rev. D 65, 074035 (2002); [Erratum ibid. D 68, 039902 (2003)]; H. Fritzsch, Phys. Lett. B 415, 83 (1997); H. Fritzsch, Y.F. Zhou, Phys. Rev. D 68, 034015 (2003)CrossRefADSGoogle Scholar
  53. 53.
    M. Beneke, M. Neubert, hep-ph/0210085 (2002)Google Scholar
  54. 54.
    BABAR Collab., B. Aubert et al., hep-ex/0207042 (2002)Google Scholar
  55. 55.
    Belle Collab., K. Abe et al., hep-ex/0207098 (2002)Google Scholar
  56. 56.
    Y.-L. Wu Y.-F. Zhou, Eur. Phys. J. Direct C 5, 014 (2003) [hep-ph/0210367]Google Scholar
  57. 57.
    H.J. Lipkin, Phys. Lett. B 254, 247 (1991)CrossRefADSGoogle Scholar
  58. 58.
    J. Hewett et al., hep-ph/0503261 (2004)Google Scholar
  59. 59.
    C.-W. Chiang, M. Gronau, Z. Luo, J.L. Rosner, D.A. Suprun, Phys. Rev. D 69, 034001 (2004) [hep-ph/0307395]CrossRefADSGoogle Scholar
  60. 60.
    M. Beneke, S. Jager, hep-ph/0512351 (2005)Google Scholar
  61. 61.
    M. Gronau, J.L. Rosner, Phys. Rev. D 71, 074019 (2005) [hep-ph/0503131]CrossRefADSGoogle Scholar
  62. 62.
    M. Ciuchini, E. Franco, G. Martinelli, L. Silvestrini, Nucl. Phys. B 501, 271 (1997) [hep-ph/9703353]CrossRefADSGoogle Scholar
  63. 63.
    M. Ciuchini, E. Franco, G. Martinelli, M. Pierini, L. Silvestrini, Phys. Lett. B 515, 33 (2001) [hep-ph/0104126]CrossRefADSGoogle Scholar
  64. 64.
    S. Barshay, G. Kreyerhoff, L.M. Sehgal, Phys. Lett. B 595, 318 (2004) [hep-ph/0405012]CrossRefADSGoogle Scholar
  65. 65.
    H.-Y. Cheng, C.-K. Chua, A. Soni, Phys. Rev. D 71, 014030 (2005) [hep-ph/0409317]CrossRefADSGoogle Scholar
  66. 66.
    A.L. Kagan, A.A. Petrov, hep-ph/9707354 (1997)Google Scholar
  67. 67.
    See, e.g., T.P. Cheng, M. Sher, Phys. Rev. D 35, 3484 (1987); L. Wolfenstein, Y.L. Wu, Phys. Rev. Lett. 73, 2809 (1994); Y.L. Wu, L. Wolfenstein, Phys. Rev. Lett. 73, 1762 (1994)CrossRefADSGoogle Scholar
  68. 68.
    Y.L. Wu, Y.F. Zhou, Phys. Rev. D 61, 096001 (2000) [hep-ph/9906313]CrossRefADSGoogle Scholar
  69. 69.
    Y.-L. Wu, Y.-F. Zhou, Phys. Rev. D 64, 115018 (2001) [hep-ph/0104056]CrossRefADSGoogle Scholar
  70. 70.
    Y.-L. Wu, Y.-F. Zhou, Eur. Phys. J. C 36, 89 (2004) [hep-ph/0403252]CrossRefADSGoogle Scholar
  71. 71.
    V. Barger, C.-W. Chiang, P. Langacker, H.-S. Lee, Phys. Lett. B 598, 218 (2004) [hep-ph/0406126]CrossRefADSGoogle Scholar
  72. 72.
    Y.-F. Zhou, Y.-L. Wu, Mod. Phys. Lett. A 15, 185 (2000) [hep-ph/0001106]CrossRefADSGoogle Scholar
  73. 73.
    D. Atwood, I. Dunietz, A. Soni, Phys. Rev. Lett. 78, 3257 (1997) [hep-ph/9612433]CrossRefADSGoogle Scholar
  74. 74.
    A. Datta, D. London, Phys. Lett. B 595, 453 (2004) [hep-ph/0404130]CrossRefADSGoogle Scholar
  75. 75.
    D. London, J. Matias, J. Virto, Phys. Rev. D 71, 014024 (2005) [hep-ph/0410011]CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute for PhysicsDortmund UniversityDortmundGermany

Personalised recommendations