Non-perturbative renormalization of the $\Delta S=2$ operator and the heavy-light axial current

TL;DR

This paper applies a non-perturbative renormalization method to lattice operators relevant for $K$ and $B$ meson physics, comparing results with perturbative calculations to improve accuracy.

Contribution

It introduces a non-perturbative renormalization approach for $ riangle S=2$ operators and heavy-light axial currents, providing more precise renormalization constants.

Findings

Non-perturbative results differ from perturbative ones.

Enhanced accuracy in renormalization constants for lattice operators.

Improved understanding of operator renormalization in meson physics.

Abstract

We apply a recently introduced non-perturbative renormalization method to two types of lattice operators: the $\Delta S=2$ four fermion operator and the heavy-light static axial current, which are relevant for the physics of $K$ and $B$ mesons respectively. The results of the non-perturbative calculations of the renormalization constants are compared with the corresponding perturbative ones.