Infrared Behaviour of Softly Broken SQCD and Its Dual

TL;DR

This paper studies how soft supersymmetry-breaking parameters behave at low energies in SQCD and its dual, showing they vanish under certain conditions, restoring superconformal symmetry at the infrared fixed point.

Contribution

It demonstrates that soft supersymmetry-breaking parameters tend to zero in the infrared, restoring superconformal symmetry in softly broken SQCD and its dual under specific RG-invariant conditions.

Findings

Soft parameters vanish at infrared fixed point.

Superconformal symmetry is restored under certain conditions.

Breaking of supersymmetry and color symmetry occurs if conditions are not met.

Abstract

Applying the recently obtained results on the renormalization of soft supersymmetry-breaking parameters, we investigate the infrared behaviour of the softly broken supersymmetric QCD as well as its dual theory in the conformal window. Under general assumptions on $\beta$-functions, it is shown that the soft supersymmetry-breaking parameters asymptotically vanish in the infrared limit so that superconformal symmetry in softly broken supersymmetric QCD and in its dual theory revives at the infrared fixed point, provided the soft scalar masses satisfy certain renormalization group invariant relations. If these relations are not satisfied, there exist marginal operators in both theories that lead to the breaking of supersymmetry and also colour symmetry.