# Perturbative renormalization of bilinear quark and gluon operators

## TL;DR

This paper calculates renormalization constants for bilinear quark operators and gluon operators using an improved lattice action, addressing operator mixing and providing essential data for quantum chromodynamics computations.

## Contribution

It introduces a calculation of renormalization constants for quark and gluon operators with improved accuracy and discusses operator mixing effects, advancing lattice QCD methods.

## Key findings

- Renormalization constants for local bilinear quark operators computed.
- Renormalization constant for leading gluon operator determined.
- Operator mixing between E^2 and B^2 analyzed.

## Abstract

The renormalisation constants for local bilinear quark operators are calculated using the Sheikholeslami-Wohlert improved action. In addition we compute the renormalisation constant of the leading gluon operator for different group representations and discuss the mixing of the operators E^2 and B^2.