# 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.

## Key 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.

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Source: https://tomesphere.com/paper/hep-lat/9510034