Algebraic Renormalization of $N=1$ Supersymmetric Gauge Theories with Supersymmetry Breaking Masses

TL;DR

This paper develops an algebraic renormalization framework for N=1 Super Yang-Mills theories with soft supersymmetry breaking masses, ensuring gauge invariance and controlling symmetry breakings through extended identities.

Contribution

It introduces a method to incorporate and analyze soft supersymmetry breaking masses within the algebraic renormalization of N=1 supersymmetric gauge theories.

Findings

Maintains gauge invariance at all perturbative orders.

Provides a systematic renormalization approach for softly broken supersymmetry.

Ensures control over supersymmetry breaking effects in quantum corrections.

Abstract

We provide N=1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass terms are chosen in such a way to induce soft supersymmetry breakings at most, while preserving gauge invariance to all orders of perturbation theory. The breakings are controlled through an extended Slavnov-Taylor identity. The renormalization analysis, both in the ultraviolet and in the infrared region, is performed.