Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
High Energy Physics - Lattice
2009-10-31 v2 High Energy Physics - Phenomenology
Abstract
We study the renormalization of the DeltaS=1 effective weak Hamiltonian with overlap fermions. The mixing coefficients among dimension-six operators are computed at one loop in perturbation theory. As a consequence of the chiral symmetry at finite lattice spacing and of the GIM mechanism, which turns out to be quadratic in the masses, the K-->pi pi and K -->pi matrix elements relevant for the Delta I =1/2 rule can be computed without any power subtractions. The analogous amplitudes for e'/e require one divergent subtraction only, which can be performed non-perturbatively using K-->0 matrix elements.
Cite
@article{arxiv.hep-lat/0011070,
title = {Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions},
author = {S. Capitani and L. Giusti},
journal= {arXiv preprint arXiv:hep-lat/0011070},
year = {2009}
}
Comments
Latex, 19 pages, minor changes, to appear on Phys. Rev. D