Weak Decays and ∊′/∊ From Lattice QCD

  • Guido Martinelli
Conference paper

Abstract

In this talk, I report the most recent progresses done by lattice QCD in the computation of quantities which are relevant to the phenomenology of weak interactions. Among the others, the decay constants of heavy pseudoscalar mesons (such as fD and fB) and the electropenguin contribution to ∊′/∊. I will also present the actual status of the computation of the ?I = 3/2 and 1/2, K + 2π amplitudes. For many years, we have been waiting for a quantitative explanation of the ?I = 1/2 rule in the Standard Model. Preliminary results from lattice QCD are encouraging and give a new insight on the mechanism responsible for the ?I = 1/2 enhancement, which seems to come from the so-called eye-diagrams. A lot of work still has to be done to provide a convincing answer to this problem. A realistic computation of the ?I = 1/2 amplitude would also provide a solid basis to a full calculation of ∊′/∊ on the lattice.

Keywords

dIKO 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    M.K. Gaillard and B.W. Lee: Phys. Rev. Lett. 33, 108 (1974).ADSCrossRefGoogle Scholar
  2. [2]
    G. Altarelli and L. Maiani: Phys. Lett. 52B, 351 (1974).ADSCrossRefGoogle Scholar
  3. [3]
    M.A. Shifman, A.I. Vainshtein and V.J. Zakharov: Nucl. Phys. 120B, 316 (1977)ADSCrossRefGoogle Scholar
  4. [3a]
    M.A. Shifman, A.I. Vainshtein and V.J. Zakharov: Sov. Phys. Jetp. 45, 670 (1977).Google Scholar
  5. [4]
    N. Cabibbo, G. Martinelli and R. Petronzio: Nucl. Phys. B244, 381 (1984).ADSCrossRefGoogle Scholar
  6. [5]
    R.C. Brower et al.: Phys. Rev. Lett. 53, 1318 (1984).ADSCrossRefGoogle Scholar
  7. [6]
    W.A. Bardeen, A.J. Buras and J.M. Gérard: Phys. Lett. 180B, 133 (1986)ADSCrossRefGoogle Scholar
  8. [6a]
    W.A. Bardeen, A.J. Buras and J.M. Gérard: Nucl. Phys. B293, 787 (1987)ADSCrossRefGoogle Scholar
  9. [6b]
    W.A. Bardeen, A.J. Buras and J.M. Gérard: Phys. Lett. 192B, 369 (1987).Google Scholar
  10. [7]
    A. Pich and E. de Rafael: Phys. Lett. B158, 477 (1985) and B189, 369 (1987).ADSCrossRefGoogle Scholar
  11. [8]
    See also the plenary talk by R. Petronzio at this conference and the talk by A. Soni.Google Scholar
  12. [9]
    G. Martinelli and C.T. Sachrajda: CERN preprint TH.5042/88 (1988), submitted to Nucl. Phys. B.Google Scholar
  13. [10]
    K. Symanzik: in Mathematical Problems in Theoretical Physics, ed. by R. Schrader et al., Lecture Notes in Physics (Springer, Berlin, 1983), p. 153.Google Scholar
  14. [11]
    M.B. Gavela et al.: presented by 0. Pêne, EPS Conference on High Energy Physics, Uppsala, (1987)Google Scholar
  15. [11a]
    Phys. Lett. B206, 113 (1988).ADSCrossRefGoogle Scholar
  16. [12]
    C. Bernard et al.: presented by C. Bernard at the International Symposiumon Th éorie des Champs sur Réseau, Seillac (1987)Google Scholar
  17. [12]
    C. Bernard et al.: Nucl. Phys. B (Proc. Suppl.) 4, 483 (1988)ADSCrossRefGoogle Scholar
  18. [13]
    T.A. De Grand and R.L. Loft, Colorado preprint C0L0-HEP-165 (1988).Google Scholar
  19. [14]
    M. Bochicchio et al.: Nucl. Phys. B262, 331 (1985).ADSCrossRefGoogle Scholar
  20. [15]
    E. Eichten, presented at the International Symposium on Théorie des Champs sur Réseau, Seillac (1987), Nucl. Phys. B (Proc. Suppl.) 4, 170 (1988).ADSCrossRefGoogle Scholar
  21. [16]
    See, for example: G. Altarelli and P. Franzini, presented by G. Altarelli at the Symposium on “Present Trends, Concepts and Instruments in Particle Physics” in Honour of M. Conversi’s 70th Birthday, CERN preprint TH.4914 (1987).Google Scholar
  22. [17]
    M.G. Gavela et al.: Nucl. Phys. B306, 677 (1988).ADSCrossRefGoogle Scholar
  23. [18]
    J.F. Donoghue, E. Golovich and B.R. Holstein: Phys. Lett. 119B, 412 (1982).ADSCrossRefGoogle Scholar
  24. [19]
    E. De Rafael and A. Pich: Phys. Lett. 158B, 477 (1985).ADSGoogle Scholar
  25. [20]
    W.A. Bardeen, A.J. Buras and J.-M. Gerard: Nucl. Phys. B293, 787 (1987).ADSCrossRefGoogle Scholar
  26. [21]
    L. Maiani et al.: Phys. Lett. 176B, 445 (1986)ADSCrossRefGoogle Scholar
  27. [21a]
    L. Maiani et al.:Nucl. Phys. B289, 505 (1987).ADSCrossRefGoogle Scholar
  28. [22]
    C. Bernard et al.: Phys. Rev. D32, 2343 (1985).ADSGoogle Scholar
  29. [23]
    For the renormalization problems with the so-called “staggered” fermions, see for example: G.W. Kilcup and S.R. Sharpe: Nucl. Phys. B283, 493 (1987).ADSCrossRefGoogle Scholar
  30. [24]
    M.B. Gavela et al.: CERN preprint TH.5042/88 (1988), to appear in Nucl. Phys. B.Google Scholar
  31. [25]
    C. Bernard and A. Soni, presented by A. Soni at the Workshop on Hadronic Matrix Elements and Weak Decays, Ringberg Castle, Munich, April 18–22 1988, to appear in the Proceedings.Google Scholar
  32. [26]
    M.B. Gavela et al., presented by G. Martinelli at the Workshop on Hadronic Matrix Elements and Weak Decays, Ringberg Castle, Munich, April 18–22 1988, to appear in the proceedings.Google Scholar
  33. [27]
    The APE Collaboration, presented by F. Rapuano at this conference and references therein.Google Scholar
  34. [28]
    J.F. Donoghue et al.: Phys. Lett. B179, 361 (1986) and B188, 511 (1987).ADSCrossRefGoogle Scholar
  35. [29]
    J. Bijnens and M.B. Wise: Phys. Lett. B137, 245 (1984).ADSCrossRefGoogle Scholar
  36. [30]
    A. Buras and G. Gérard: Phys. Lett. B192, 156 (1987).ADSCrossRefGoogle Scholar
  37. [31]
    S.R. Sharpe: Phys. Lett. B194, 551 (1987).ADSCrossRefGoogle Scholar
  38. [32]
    E. Franco et al.: CERN preprint TH.5101/88 (1988).Google Scholar
  39. [33]
    L. Wolfenstein: Phys. Rev. Lett. 5, 1945 (1983).ADSCrossRefGoogle Scholar
  40. [34]
    S.R. Sharpe et al.: Phys. Lett. B192, 149 (1987).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Guido Martinelli
    • 1
  1. 1.Theoretical Physics DivisionCERNGeneva 23Switzerland

Personalised recommendations