Non-perturbative Renormalization of Lattice Operators

TL;DR

This paper reviews three methods for calculating lattice operator renormalization constants, emphasizing non-perturbative techniques and their application to light and heavy quarks, including operator mixing.

Contribution

It introduces a comparative analysis of perturbative, Ward Identity-based, and non-perturbative methods for lattice operator renormalization, with new results on heavy quark and operator mixing.

Findings

Non-perturbative renormalization of light quark operators

Renormalization constants for charm quark with KLM improvement

Non-perturbative determination of $ riangle S=2$ operator mixing

Abstract

We briefly review and compare three methods (one perturbative, one based on Ward Identities and one non-perturbative) for the calculation of the renormalization constants of lattice operators. The following results are presented: (a) non perturbative renormalization of the operators with light quarks; (b) the renormalization constants with a heavy (charm) quark mass and its KLM improvement; (c) the non perturbative determination of the mixing of the $\Delta S = 2$ operator.