Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions

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.

Latex, 19 pages, minor changes, to appear on Phys. Rev. D

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Cited by in corpus (18)

• Multichannel one-to-two transition amplitudes in a finite volume
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Rare Kaon Decays on the Lattice
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Phenomenology from lattice QCD
• B_K from quenched QCD with exact chiral symmetry
• Lattice extraction of $K\to \pi \pi$ amplitudes to NLO in partially quenched and in full chiral perturbation theory
• CP breaking in lattice chiral gauge theories
• K-->pipi amplitudes from lattice QCD with a light charm quark
• Quenched Results for Light Quark Physics with Overlap Fermions
• Non-perturbative renormalisation of left-left four-fermion operators with Neuberger fermions
• Reducing the number of counterterms with new minimally doubled actions
• Twisted mass QCD for weak matrix elements
• Exploring the role of the charm quark in the $\Delta I=1/2$ rule