Non-perturbative renormalization of kaon four-quark operators with nf=2+1 Domain Wall fermions

TL;DR

This paper develops a non-perturbative method for renormalizing kaon four-quark operators using domain wall fermions, employing the Rome-Southampton approach with advanced techniques to improve accuracy.

Contribution

It introduces a comprehensive strategy combining exceptional and non-exceptional kinematics, momentum sources, and twisted boundary conditions for precise renormalization in lattice QCD.

Findings

Preliminary results demonstrate the effectiveness of the method.

Chiral properties of domain wall fermions are crucial for accurate renormalization.

The approach is tested at two lattice spacings, showing consistency.

Abstract

We present our strategy and some preliminary results for the renormalization of four-quark operators relevant for kaon physics. We follow the non-perturbative Rome-Southampton method, with both exceptional and non-exceptional kinematics. We also implement momentum sources and twisted boundary conditions. We use an (almost) unitary setup: Domain-Wall valence on nf=2+1 Domain-Wall sea and Iwasaki gauge action, at two values of the lattice spacing corresponding to approximately 0.086 fm and 0.114 fm . The chiral properties of these fermions play a crucial role in this compuation and are studied in detail in this work.