# Supersymmetric QCD: Renormalization and Mixing of Composite Operators

## TL;DR

This paper presents a detailed perturbative analysis of operator renormalization in lattice supersymmetric QCD, providing tools for non-perturbative studies of supersymmetry and related observables.

## Contribution

It computes renormalization factors and operator mixing for composite operators in lattice SQCD with massive fields, enabling accurate non-perturbative investigations.

## Key findings

- Renormalization factors for quark and squark bilinears calculated.
- Operator mixing with gluino and gluon bilinears determined.
- Framework established for non-perturbative lattice studies of SUSY QCD.

## Abstract

We study $4$-dimensional SQCD with gauge group $SU(N_c)$ and $N_f$ flavors of chiral super-multiplets on the lattice. We perform extensive calculations of matrix elements and renormalization factors of composite operators in Perturbation Theory. In particular, we compute the renormalization factors of quark and squark bilinears, as well as their mixing at the quantum level with gluino and gluon bilinear operators. From these results we construct correctly renormalized composite operators, which are free of mixing effects and may be employed in non-perturbative studies of Supersymmetry. All our calculations have been performed with massive matter fields, in order to regulate the infrared singularities which are inherent in renormalizing squark bilinears. Furthermore, the quark and squark propagators are computed in momentum space with nonzero masses. This work is a feasibility study for lattice computations relevant to a number of observables, such as spectra and distribution functions of hadrons, but in the context of supersymmetric QCD, as a forerunner to lattice investigations of SUSY extensions of the Standard Model.