Lattice QCD, O.P.E. and the Standard Model

Details Lattice QCD, O.P.E. and the Standard Model Lattice QCD, O.P.E. and the Standard Model

1999-12-23

arxiv.org/abs/hep-lat/9912048v1

Chin.J.Phys.38:721-734,2000

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages Latex, talk given at CHIRAL '99, Taipei, Sep. 13-18, 1999

Scientific paper

A number of old and new methods for computing $K\to\pi\pi$ amplitudes on the lattice are reevaluated. They all involve a non-perturbative determination of matching coefficients. I will show how problems related to operator mixing can be greatly reduced by introducing the O.P.E. of hadronic currents directly on the lattice. Applications to the evaluation of CP-symmetric ($\Delta I = 1/2$ rule) and CP-violating ($\epsilon '/\epsilon$) processes are presented.

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