Advertisement

Il Nuovo Cimento A

, Volume 109, Issue 6–7, pp 957–979 | Cite as

CP violation and flavour mixing in the Standard Model

  • A. Ali
  • D. London
Article

Summary

We review and update the constraints on the parameters of the quark flavour mixing matrixV CKM in the Standard Model and estimate the resultingCP asymmetries in B decays, taking into account recent experimental and theoretical developments. In performing our fits, we use inputs from the measurements of the following quantities: i) |ε|, theCP-violating parameter in K decays, ii) ΔM d, the mass difference due to the\(B_{d^ - }^0 \bar B_d^0 \) mixing, iii) the matrix elements |V cb| and |V ub|, iv)-v) has improved compared to our previous fits. With the updated CKM matrix we present the currently-allowed range of the ratios |V td/V ts| and |V td/V ub|, as well as the Standard Model predictions for the\(B_{s^ - }^0 \bar B_s^0 \) mixing parameterx s (or, equivalently, ΔM s) and the quantities sin2α, sin2β and sin2γ, which characterize theCP-asymmetries in B decays. Various theoretical issues related to the so-called «penguin-pollution», which are of importance for the determination of the phases α and γ from theCP-asymmetries in B decays, are also discussed.

PACS 11.30.Er

Charge conjugation parity time reversal and other discrete symmetries 

PACS 11.30.Hv

Flavor symmetries 

PACS 12.15.Hh

Determination of Kobayashi-Maskawa matrix elements 

PACS 01.30.Cc

Conference proceedings 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Ali A. andLondon D.,Z. Phys. C,65 (1995) 431.CrossRefADSGoogle Scholar
  2. [2]
    Neubert M., Preprint CERN-TH/95-107 (hep-ph/9505238).Google Scholar
  3. [3]
    Shifman M., Preprint TPI-MINN-95/15-T (hep-ph/9505289).Google Scholar
  4. [4]
    Herrlich S. andNierste U.,Phys. Rev. D,52 (1995) 6505.CrossRefADSGoogle Scholar
  5. [5]
    CDF Collaboration (F. Abe et al.),Phys. Rev. D,50 (1994) 2966;Phys. Rev. Lett.,73 (1994) 225;Phys. Rev. D,51 (1995) 4623.CrossRefADSGoogle Scholar
  6. [6]
    CDF Collaboration (F. Abe et al.),Phys. Rev. Lett.,74 (1995) 2626.CrossRefADSGoogle Scholar
  7. [7]
    D0 Collaboration (S. Abachi et al.),Phys. Rev. Lett.,74 (1995) 2632.CrossRefADSGoogle Scholar
  8. [8]
    Belletini G., invited talk atVI International Symposium on Heavy-Flavour Physics, Pisa, June 6–10, 1995.Google Scholar
  9. [9]
    Gray N., Broadhurst D. J., Grafe W. andSchilcher K.,Z. Phys. C,48 (1990) 673.CrossRefADSGoogle Scholar
  10. [10]
    ALEPH Collaboration (D. Buskulic et al.),Phys. Lett. B,359 (1995) 236.CrossRefADSGoogle Scholar
  11. [11]
    ALEPH Collaboration (I. J. Scott), inProceedings of the XXVII International Conference on High Energy Physics, Glasgow, Scotland, July 1994, edited byP. J. Bussey andI. G. Knowles, Vol. 2 (IOP Publications Ltd., Bristol) 1995, p. 1121.Google Scholar
  12. [12]
    CLEO Collaboration (T. E. Browder), inProceedings of the XXVII International Conference on High Energy Physics, Glasgow, Scotland, July 1994, edited byP. J. Bussey andI. G. Knowles, Vol.2 (IOP Publications Ltd., Bristol) 1995, p. 1117.Google Scholar
  13. [13]
    ARGUS Collaboration (H. Albrecht et al.),Z. Phys. C,57 (1993) 533;Schröder H., private communication.CrossRefADSGoogle Scholar
  14. [14]
    DELPHI Collaboration (D. Bloch et al.), Contributed paper (eps0569) to theEPS-HEP Conference, Brussels, July 27-August 2, 1995.Google Scholar
  15. [15]
    Shifman M., Uraltsev N. G. andVainshtein A.,Phys. Rev. D,51 (1995) 2217.CrossRefADSGoogle Scholar
  16. [16]
    Patterson R., inProceedings of the XXVII International Conference on High Energy Physics, Glasgow, Scotland, July 1994, edited byP. J. Bussey andI. G. Knowles, Vol.1 (IOP Publications Ltd., Bristol) 1995, p. 149.Google Scholar
  17. [17]
    CLEO Collaboration (E. Thorndike), inHeavy Flavour Physics, session (PA14),EPS-HEP Conference, Brussels, July 27–August 2, 1995.Google Scholar
  18. [18]
    See, for example,Buras A. J. andHarlander M. K., inHeavy Flavours, edited byA. J. Buras andM. Lindner,Advanced Series on Directions in High Energy Physics, Vol.10 (World Scientific, Singapore) 1992.Google Scholar
  19. [19]
    OPAL Collaboration (P. Wells), invited talk in theHeavy Flavour Physics, session (PA14);ALEPH Collaboration (O. Schneider), in theCP Violation, CKM Matrix and Rare Decays, session (PA5);Aleksan R., Plenary talk,EPS-HEP Conference, Brussels, July 27-August 2, 1995.Google Scholar
  20. [20]
    ALEPH Collaboration (D. Buskulic et al.),Phys. Lett. B,356 (1995) 409.CrossRefADSGoogle Scholar
  21. [21]
    Wolfenstein L.,Phys. Rev. Lett.,51 (1983) 45.CrossRefGoogle Scholar
  22. [22]
    Particle Data Group (L. Montanet et al.),Phys. Rev. D,50 (1994) 1173.CrossRefADSGoogle Scholar
  23. [23]
    Isgur N. andWise M.,Phys. Lett. B,232 (1989) 113;237 (1990) 527.CrossRefADSGoogle Scholar
  24. [24]
    Luke M. E.,Phys. Lett. B,252 (1990) 447.CrossRefADSGoogle Scholar
  25. [25]
    Boyd C. G. andBrahm D. E.,Phys. Lett. B,257 (1991) 393.CrossRefADSGoogle Scholar
  26. [26]
    Neubert M. andRieckert V.,Nucl. Phys. B,382 (1992) 97;Neubert M.,Phys. Lett. B,264 (1991) 455;Phys. Rev. D,46 (1992) 2212.CrossRefADSGoogle Scholar
  27. [27]
    Voloshin M. B. andShifman M. A.,Sov. J. Nucl. Phys.,45 (1987) 292.Google Scholar
  28. [28]
    Komamiya S., Plenary talk,EPS-HEP Conference, Brussels, July 27–August 2, 1995.Google Scholar
  29. [29]
    Boyd C. G., Grinstein B. andLebed R. F.,Phys. Lett. B,353 (1995) 306;Nucl. Phys. B,461 (1996) 493.CrossRefADSGoogle Scholar
  30. [30]
    Isgur N., Scora D., Grinstein B. andWise M.,Phys. Rev. D,39 (1989) 799.CrossRefADSGoogle Scholar
  31. [31]
    Buras A. L., Słominski W. andSteger H.,Nucl. Phys. B,238 (1984) 529;245 (1984) 369.CrossRefADSGoogle Scholar
  32. [32]
    Herrlich S. andNierste U.,Nucl. Phys. B,419 (1994) 292.CrossRefADSGoogle Scholar
  33. [33]
    Buras A. J., Jamin M. andWeisz P. H.,Nucl. Phys. B,347 (1990) 491.CrossRefADSGoogle Scholar
  34. [34]
    Flynn J.,Mod. Phys. Lett. A,5 (1990) 877.CrossRefADSGoogle Scholar
  35. [35]
    Ali A. andLondon D.,J. Phys. G,19 (1993) 1069.CrossRefADSGoogle Scholar
  36. [36]
    Shigemitsu J., inProceedings of the XXVII International Conference on High Energy Physics, Glasgow, Scotland, July 1994, edited byP. J. Bussey andI. G. Knowles, Vol.1 (IOP Publications Ltd., Bristol) 1995.Google Scholar
  37. [37]
    Gavela M. B. et al., Phys. Lett. B,206 (1988) 113;Nucl. Phys. B,306 (1988) 677;Bernard C. andSoni A.,Nucl. Phys. B (Proc. Suppl.),17 (1990) 495;Kilcup G. W., Sharpe S. R., Gupta R. andPatel A.,Phys. Rev. Lett.,64 (1990) 25;Gupta R. et al., Phys. Rev. D,47 (1993) 5113;Sharpe S. R.,Nucl. Phys. B (Proc. Suppl.),34 (1994) 403.CrossRefADSGoogle Scholar
  38. [38]
    Pich A. andPrades J.,Phys. Lett. B,346 (1995) 342.CrossRefADSGoogle Scholar
  39. [39]
    Buras A. J., Lautenbacher M. E. andOstermaier G.,Phys. Rev. D,50 (1994) 3433.CrossRefADSGoogle Scholar
  40. [40]
    Narison S.,Phys. Lett. B,322 (1994) 247;Narison S. andPivovarov A.,Phys. Lett. B,327 (1994) 341.CrossRefADSGoogle Scholar
  41. [41]
    Sommer R., DESY Report 94-011 (1994).Google Scholar
  42. [42]
    For reviews, see, for example,Nir Y. andQuinn H. R., in BDecays, edited byS. Stone (World Scientific, Singapore) 1992, p. 362;Dunietz I., in BDecays, edited byS. Stone (World Scientific, Singapore) 1992, p. 393.Google Scholar
  43. [43]
    Aleksan R., Kayser B. andLondon D.,Phys. Rev. Lett.,73 (1994) 18.CrossRefADSGoogle Scholar
  44. [44]
    London D. andPeccei R.,Phys. Lett. B,223 (1989) 257;Grinstein B.,Phys. Lett. B,229 (1989) 280;Gronau M.,Phys. Rev. Lett.,63 (1989) 1451;Phys. Lett. B,300 (1993) 163.CrossRefADSGoogle Scholar
  45. [45]
    Gronau M. andLondon D.,Phys. Rev. Lett.,65 (1990) 3381.CrossRefADSGoogle Scholar
  46. [46]
    Alewksan R., Dunietz I. andKayser B.,Z. Phys. C,54 (1992) 653.CrossRefADSGoogle Scholar
  47. [47]
    Gronau M. andWyler D.,Phys. Lett. B,265 (1991) 172. See alsoGronau M. andLondon D.,Phys. Lett. B,253 (1991) 483;Dunietz I.,Phys. Lett. B,270 (1991) 75.CrossRefADSGoogle Scholar
  48. [48]
    Gronau M., Rosner J. L. andLondon D.,Phys. Rev. Lett.,73 (1994) 21. See alsoHernández O. F., London D., Fronau M. andRosner J. L.,Phys. Lett. B,333 (1994) 500;Gronau M., London D., Hernández O. F. andRosner J. L.,Phys. Rev. D,50 (1994) 4529;Buras A. J. andFleischer R.,Phys. Lett. B,341 (1995) 379.CrossRefADSGoogle Scholar
  49. [49]
    Gronau M., London D., Hernández O. F. andRosner J. L.,Phys. Rev. D,52 (1995) 6356.CrossRefADSGoogle Scholar
  50. [50]
    Fleischer R.,Z. Phys. C,62 (1994) 81;Phys. Lett. B,321 (1994) 259;332 (1994) 419.CrossRefADSGoogle Scholar
  51. [51]
    Deshpande N. G. andHe X.-G.,Phys. Rev. Lett.,74 (1995) 26.CrossRefADSGoogle Scholar
  52. [52]
    Gronau M., London D., Hernández O. F. andRosner J. L.,Phys. Rev. D,52 (1995) 6374.CrossRefADSGoogle Scholar
  53. [53]
    Fleischer R.,Phys. Lett. B,332 (1994) 419;Deshpande N. G., He X.-G. andTrampetic J.,Phys. Lett. B,345 (1995) 547;Kramer G. andPalmer W. F.,Phys. Rev. D,52 (1995) 6411;Buras A. J. andFleischer R.,Phys. Lett. B,365 (1996) 390.CrossRefADSGoogle Scholar
  54. [54]
    Deshpande N. G. andHe X.-G.,Phys. Rev. Lett.,75 (1995) 3064.CrossRefADSGoogle Scholar
  55. [55]
    Ali A., inB Decays, revised 2nd edition, edited byS. Stone (World Scientific, Singapore) 1994, p. 1.Google Scholar
  56. [56]
    CLEO Collaboration (M. Athanas et al.), CLEO CONF 94-2 (1994).Google Scholar
  57. [57]
    Ali A., Braun V. M. andSimma H.,Z. Phys. C,63 (1994) 437;Soares J. M.,Phys. Rev. D,49 (1994) 283;Narison S.,Phys. Lett. B,327 (1994) 354.CrossRefADSGoogle Scholar
  58. [58]
    Ali A. andBraun V. M.,Phys. Lett. B,359 (1995) 223;Khodzhamirian A., Stoll G. andWyler D.,Phys. Lett. B,358 (1995) 129.CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • A. Ali
    • 1
  • D. London
    • 2
  1. 1.Deutsches Elektronen Synchrtron DESYHamburgGermany
  2. 2.Laboratoire de Physique NucléaireUniversité de MontréalMontréalCanada

Personalised recommendations