Recent developments in weak matrix element calculations

Claude Bernard, Terrence Draper, George Hockney, A. Soni

Research output: Contribution to journalArticlepeer-review

88 Scopus citations


We discuss our method and then present results on K0- K ̄0 mixing matrix elements for various lattices and couplings, including some with dynamical fermions (preliminary). For the left-right operator (and the related "electromagnetic penguin"), the systematic effects are under quite good control, and we are able to make a physical prediction. For the left-left case a prediction is possible only at very high mass; at moderate mass there is a violation of the expected chiral behavior, which we believe is due to a failure of weak coupling perturbation theory for current values of β. We discuss a new method, involving a direct evaluation of K → ππ decays, which should completely avoid this chiral problem. Some preliminary, but encouraging, results are presented for the ΔI = 3 2 decay and for the ΔI = 1 2 rule. We also present some preliminary results for pseudoscalar decay constants of heavy mesons.

Original languageEnglish
Pages (from-to)483-492
Number of pages10
JournalNuclear Physics B - Proceedings Supplements
Issue numberC
StatePublished - Apr 1988

Bibliographical note

Funding Information:
ACKNOWLEDGEMENTS We thank S. Gottlieb, W. Liu, R. L. Renken, R. L. Sugar, and D. Toussaint for the use of their dynamical fermion configurations, and P. Mackenzie for very useful conversations. We are grateful to R. H. Tsuchida, J. Jennings, D. Murphy, A. EI-Khadra, and M. Althouse for valuable assistance in computing and calculating. C.B. would like to thank the Physics Department of Indiana University (and especially S. Gottlieb), the Aspen Center for Physics, and the Fermilab Theory Group for their hospitality. This work was partially supported by the U.S. National Science Foundation and Department of Energy, the Natural Sciences and Engineering Research Council of Canada, and the UCLA Committee on Research. Computing was done at the National MFE Computer Center and the San Diego Supercomputer Center.

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics


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