Calculation of CP Violation in Non-leptonic Kaon Decay on the Lattice

TL;DR

This paper reports progress on lattice calculations of CP violation in kaon decays, focusing on non-perturbative matrix element computations for $ ext{Re}(rac{ ext{epsilon}'}{ ext{epsilon}})$ and $B_K$, crucial for understanding matter-antimatter asymmetry.

Contribution

It presents new lattice computation techniques and results for direct and indirect CP violation parameters in kaon decays, advancing non-perturbative methods in this area.

Findings

Progress in calculating $ ext{Re}(rac{ ext{epsilon}'}{ ext{epsilon}})$ and $B_K$

Improved non-perturbative matrix element estimates

Enhanced understanding of CP violation mechanisms

Abstract

We give a progress report of our lattice calculation of direct and indirect CP violation in kaon decays, parametrized as $\epsilon'/\epsilon$ and $B_K$, which require non-perturbative calculation of the matrix elements of the Standard Model effective Hamiltonian.