Skip to main content
SpringerLink
Log in

Charmless B s →PP, PV, VV decays based on the six-quark effective Hamiltonian with strong phase effects II

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We provide a systematic study of charmless B s →PP, PV, VV decays (P and V denote pseudoscalar and vector mesons, respectively) based on an approximate six-quark operator effective Hamiltonian from QCD. The calculation of the relevant hard-scattering kernels is carried out, the resulting transition form factors are consistent with the results of QCD sum-rule calculations. By taking into account important classes of power corrections involving “chirally enhanced” terms and the vertex corrections as well as weak annihilation contributions with non-trivial strong phase, we present predictions for the branching ratios and CP asymmetries of B s decays into PP, PV and VV final states, and also for the corresponding polarization observables in VV final states. It is found that the weak annihilation contributions with non-trivial strong phase have remarkable effects on the observables in the color-suppressed and penguin-dominated decay modes. In addition, we discuss the SU(3) flavor symmetry and show that the symmetry relations are generally respected.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Antonelli et al., Phys. Rep. 494, 197 (2010)

    Article  ADS  Google Scholar 

  2. M. Artuso et al., Eur. Phys. J. C 57, 309 (2008)

    Article  ADS  Google Scholar 

  3. D.E. Acosta et al. (CDF Collaboration), Phys. Rev. Lett. 95, 031801 (2005)

    Article  ADS  Google Scholar 

  4. A. Abulencia et al. (CDF Collaboration), Phys. Rev. Lett. 97, 211802 (2006)

    Article  ADS  Google Scholar 

  5. M. Morello (CDF Collaboration), Nucl. Phys. B, Proc. Suppl. 170, 39 (2007)

    Article  ADS  Google Scholar 

  6. B. Tseng, Phys. Lett. B 446, 125 (1999)

    Article  ADS  Google Scholar 

  7. Y.H. Chen, H.Y. Cheng, B. Tseng, Phys. Rev. D 59, 074003 (1999)

    Article  ADS  Google Scholar 

  8. X.Q. Li, G.R. Lu, Y.D. Yang, Phys. Rev. D 68, 114015 (2003)

    Article  ADS  Google Scholar 

  9. X.Q. Li, G.R. Lu, Y.D. Yang, Phys. Rev. D 71, 019902(E) (2005)

    ADS  Google Scholar 

  10. Y.D. Yang, F. Su, G.R. Lu, H.J. Hao, Eur. Phys. J. C 44, 243 (2005)

    Article  ADS  Google Scholar 

  11. J.F. Sun, G.H. Zhu, D.S. Du, Phys. Rev. D 68, 054003 (2003)

    Article  ADS  Google Scholar 

  12. M. Beneke, M. Neubert, Nucl. Phys. B 675, 333 (2003)

    Article  ADS  Google Scholar 

  13. M. Beneke, J. Rohrer, D.S. Yang, Phys. Rev. Lett. 96, 141801 (2006)

    Article  ADS  Google Scholar 

  14. M. Beneke, J. Rohrer, D.S. Yang, Nucl. Phys. B 774, 64 (2007)

    Article  ADS  Google Scholar 

  15. C.H. Chen, Phys. Lett. B 520, 33 (2001)

    Article  ADS  Google Scholar 

  16. Y. Li, C.-D. Lu, Z.J. Xiao, X.Q. Yu, Phys. Rev. D 70, 034009 (2004)

    Article  ADS  Google Scholar 

  17. X.Q. Yu, Y. Li, C.-D. Lu, Phys. Rev. D 71, 074026 (2005)

    Article  ADS  Google Scholar 

  18. X.Q. Yu, Y. Li, C.-D. Lu, Phys. Rev. D 72, 119903(E) (2005)

    ADS  Google Scholar 

  19. J. Zhu, Y.L. Shen, C.-D. Lu, J. Phys. G 32, 101 (2006)

    ADS  Google Scholar 

  20. X.Q. Yu, Y. Li, C.-D. Lu, Phys. Rev. D 73, 017501 (2006)

    Article  ADS  Google Scholar 

  21. Z.J. Xiao, X. Liu, H.S. Wang, Phys. Rev. D 75, 034017 (2007)

    Article  ADS  Google Scholar 

  22. Z.J. Xiao, X.F. Chen, D.Q. Guo, Eur. Phys. J. C 50, 363 (2007)

    Article  ADS  Google Scholar 

  23. A. Ali, G. Kramer, Y. Li, C.D. Lu, Y.L. Shen, W. Wang, Y.M. Wang, Phys. Rev. D 76, 074018 (2007)

    Article  ADS  Google Scholar 

  24. A.R. Williamson, J. Zupan, Phys. Rev. D 74, 014003 (2006)

    Article  ADS  Google Scholar 

  25. W. Wang, Y.M. Wang, D.S. Yang, C.D. Lu, Phys. Rev. D 78, 034011 (2008)

    Article  ADS  Google Scholar 

  26. S.S. Bao, F. Su, Y.L. Wu, C. Zhuang, Phys. Rev. D 77, 095004 (2008)

    Article  ADS  Google Scholar 

  27. S. Baek, D. London, J. Matias, J. Virto, J. High Energy Phys. 0612, 019 (2006)

    Article  ADS  Google Scholar 

  28. S. Baek, D. London, J. Matias, J. Virto, J. High Energy Phys. 02, 027 (2006)

    Article  ADS  Google Scholar 

  29. J. Hua, C.s. Kim, Y. Li, Phys. Lett. B 690, 508 (2010)

    Article  ADS  Google Scholar 

  30. Y.G. Xu, R.M. Wang, Y.D. Yang, Phys. Rev. D 79, 095017 (2009)

    Article  ADS  Google Scholar 

  31. R.M. Wang, Y.G. Xu, Phys. Rev. D 81, 055011 (2010)

    Article  ADS  Google Scholar 

  32. F. Su, Y.L. Wu, Y.B. Yang, C. Zhuang, Int. J. Mod. Phys. A 25, 69 (2010)

    Article  ADS  Google Scholar 

  33. F. Su, Y.L. Wu, Y.B. Yang, C. Zhuang, J. Phys. G 38, 015006 (2011). arXiv:1006.1100 [hep-ph]

    Article  ADS  Google Scholar 

  34. Y.L. Wu, Int. J. Mod. Phys. A 18, 5363 (2003)

    Article  ADS  MATH  Google Scholar 

  35. Y.L. Wu, Mod. Phys. Lett. A 19, 2191 (2004)

    Article  ADS  MATH  Google Scholar 

  36. Y.L. Ma, Y.L. Wu, Phys. Lett. B 647, 427 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  37. Y.L. Ma, Y.L. Wu, Int. J. Mod. Phys. A 21, 6383 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. J.W. Cui, Y. Tang, Y.L. Wu, Phys. Rev. D 79, 125008 (2009)

    Article  ADS  Google Scholar 

  39. J.W. Cui, Y.L. Wu, Int. J. Mod. Phys. A 23, 2861 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  40. H.Y. Cheng, C.K. Chua, Phys. Rev. D 80, 114026 (2009)

    Article  ADS  Google Scholar 

  41. A. Ali, G. Kramer, Y. Li, C.D. Lu, Y.L. Shen, W. Wang, Y.M. Wang, Phys. Rev. D 76, 074018 (2007)

    Article  ADS  Google Scholar 

  42. G. Buchalla, A.J. Buras, M.E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996)

    Article  ADS  Google Scholar 

  43. R.E. Cutkosky, J. Math. Phys. 1, 429 (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  44. H.n. Li, H.L. Yu, Phys. Rev. Lett. 74, 4388 (1995)

    Article  ADS  Google Scholar 

  45. H.n. Li, H.L. Yu, Phys. Lett. B 353, 301 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  46. Y.Y. Keum, H.n. Li, A.I. Sanda, Phys. Rev. D 63, 054008 (2001)

    Article  ADS  Google Scholar 

  47. H.N. Li, S. Mishima, A.I. Sanda, Phys. Rev. D 72, 114005 (2005). arXiv:hep-ph/0508041

    Article  ADS  Google Scholar 

  48. M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 606, 245 (2001)

    Article  ADS  Google Scholar 

  49. H.Y. Cheng, K.C. Yang, Phys. Lett. B 511, 40 (2001)

    Article  ADS  Google Scholar 

  50. H.Y. Cheng, K.C. Yang, Phys. Rev. D 64, 074004 (2001)

    Article  ADS  Google Scholar 

  51. P. Ball, G.W. Jones, J. High Energy Phys. 0703, 069 (2007)

    Article  ADS  Google Scholar 

  52. L. Wolfenstein, Phys. Rev. Lett. 51, 1945 (1983)

    Article  ADS  Google Scholar 

  53. J. Charles et al. (CKMfitter Group), Eur. Phys. J. C 41, 1 (2005)

    Article  ADS  Google Scholar 

  54. Z.Z. Xing, H. Zhang, S. Zhou, Phys. Rev. D 77, 113016 (2008)

    Article  ADS  Google Scholar 

  55. C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008)

    Article  ADS  Google Scholar 

  56. P. Ball, G.W. Jones, R. Zwicky, Phys. Rev. D 75, 054004 (2007)

    Article  ADS  Google Scholar 

  57. P. Ball, M. Boglione, Phys. Rev. D 68, 094006 (2003)

    Article  ADS  Google Scholar 

  58. D. Becirevic et al., J. High Energy Phys. 0305, 007 (2003)

    Article  ADS  Google Scholar 

  59. P. Ball, R. Zwicky, Phys. Rev. D 71, 014029 (2005)

    Article  ADS  Google Scholar 

  60. C.D. Lu, W. Wang, Z.T. Wei, Phys. Rev. D 76, 014013 (2007)

    Article  ADS  Google Scholar 

  61. Y.L. Wu, M. Zhong, Y.B. Zuo, Int. J. Mod. Phys. A 21, 6125 (2006)

    Article  ADS  Google Scholar 

  62. W.Y. Wang, Y.L. Wu, M. Zhong, Phys. Rev. D 67, 014024 (2003)

    Article  ADS  Google Scholar 

  63. D. Tonelli et al., in 12th International Conference on B-Physics at Hadron Machines, Heidelberg, Germany (2009)

    Google Scholar 

  64. M. Gronau, Phys. Lett. B 492, 297 (2000)

    Article  ADS  Google Scholar 

  65. X.G. He, J.Y. Leou, C.Y. Wu, Phys. Rev. D 62, 114015 (2000)

    Article  ADS  Google Scholar 

  66. M. Ciuchini, M. Pierini, L. Silvestrini, Phys. Rev. Lett. 100, 031802 (2008)

    Article  ADS  Google Scholar 

  67. CDF Collaboration, Measurement of the polarization amplitudes of the B s →ϕϕ decay, and updated results can be found on http://www-cdf.fnal.gov/physics/new/bottom/bottom.html

  68. D. Horn, in Europhysics Conference on High Energy Physics, Krakow, Poland (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Theoretical Physics, Kavli Institute for Theoretical Physics China, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Fang Su, Yue-Liang Wu, Yi-Bo Yang & Ci Zhuang

  2. Institute of Particle Physics, Huazhong Normal University, Wuhan, Hubei, 430079, China

    Fang Su

  3. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100048, China

    Yi-Bo Yang

Authors
  1. Fang Su
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yue-Liang Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yi-Bo Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ci Zhuang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ci Zhuang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Su, F., Wu, YL., Yang, YB. et al. Charmless B s →PP, PV, VV decays based on the six-quark effective Hamiltonian with strong phase effects II. Eur. Phys. J. C 72, 1914 (2012). https://doi.org/10.1140/epjc/s10052-012-1914-4

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-1914-4

Keywords

Search

Navigation