B_K from quenched overlap QCD
N. Garron (1), L. Giusti (1,2), C. Hoelbling (1), L. Lellouch (1), C., Rebbi (3) ((1) CPT Marseille, (2) CERN, (3) Boston University)
TL;DR
This paper reports an exploratory lattice QCD calculation of the B_K parameter related to CP violation in kaon decays, using overlap fermions in the quenched approximation to obtain a preliminary value.
Contribution
It provides a non-perturbative renormalization of the B_K matrix element using overlap fermions in quenched QCD, contributing to precision studies of CP violation.
Findings
Preliminary B_K^{NDR}(2 GeV)=0.61(7)
Non-perturbative renormalization performed
Quenched approximation used
Abstract
We present an exploratory calculation of the standard model Delta S=2 matrix element relevant for indirect CP violation in K -> pi pi decays. The computation is performed with overlap fermions in the quenched approximation at beta=6.0 on a 16^3x32 lattice. The resulting bare matrix element is renormalized non-perturbatively. Our preliminary result is B_K^{NDR}(2 GeV)=0.61(7), where the error does not yet include an estimate of systematic uncertainties.
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