Controlled Soft Breaking of N=1 SQCD

TL;DR

This paper explores how soft supersymmetry-breaking terms can be introduced into N=1 SQCD models, revealing complex phase behaviors and solutions under controlled approximations, with implications for understanding non-perturbative dynamics.

Contribution

It provides a method to incorporate soft breaking terms into exact N=1 SQCD solutions using spurion analysis and discusses the resulting phase structure and theta dependence.

Findings

Soft breaking terms can be introduced with controlled approximations.

Models exhibit non-trivial theta angle dependence and phase transitions.

Solutions reveal complex non-perturbative dynamics similar to QCD.

Abstract

We discuss the introduction of soft breaking terms into the exact solutions of N=1 SQCD using a spurion analysis. The spurion symmetries are not sufficient to determine the behavior of models in which squark or gaugino masses alone are introduced. However, a controlled approximation is obtained in some cases if a supersymmetric mass is first introduced for the matter fields. We present low-energy solutions for two models with perturbing soft breaking terms, one with a gaugino mass and one with squark mixing. These models have non-trivial theta angle dependence and exhibit phase transitions at non-zero theta angle analogous to those found in the chiral Lagrangian description of QCD.