Calculating weak matrix elements using HYP staggered fermions

TL;DR

This paper reports preliminary lattice QCD calculations of weak matrix elements related to CP violation using HYP staggered fermions, incorporating recent one-loop matching coefficients for improved accuracy.

Contribution

It introduces a method to compute weak matrix elements with all relevant one-loop corrections using HYP staggered fermions, advancing lattice QCD techniques for CP violation studies.

Findings

Calculated weak matrix elements for CP violation

Included all $g^2$ corrections at one-loop level

Addressed both $ riangle I=3/2$ and $ riangle I=1/2$ contributions

Abstract

We present preliminary results of weak matrix elements relevant to CP violation calculated using the HYP (II) staggered fermions. Since the complete set of matching coefficients at the one-loop level became available recently, we have constructed lattice operators with all the $g^2$ corrections included. The main results include both $\Delta I = 3/2$ and $\Delta I = 1/2$ contributions.