# B_K with the Wilson Quark Action: A Non-Perturbative Resolution of Operator Mixing using Chiral Ward Identities

## TL;DR

This paper introduces a non-perturbative approach leveraging chiral Ward identities to accurately determine operator mixing coefficients for Wilson quarks, applied specifically to compute B_K in quenched QCD.

## Contribution

It presents a novel non-perturbative method for resolving operator mixing in Wilson quark actions using chiral Ward identities, improving B_K calculations.

## Key findings

- Successful calculation of B_K in quenched QCD
- Non-perturbative determination of operator mixing coefficients
- Enhanced accuracy over perturbative methods

## Abstract

We propose a non-perturbative method to determine the mixing coefficients of $\Delta s=2$ four-quark operators for the Wilson quark action using chiral Ward identities. The method is applied to calculate B_K in quenched QCD.