Duality cascade of softly broken supersymmetric theories

TL;DR

This paper analyzes the behavior of softly broken supersymmetric theories during duality cascades, revealing suppression of SUSY breaking terms and specific mass convergence patterns, with potential termination via gauge symmetry breaking.

Contribution

It provides a detailed study of RG flow of SUSY breaking terms in duality cascades, highlighting suppression effects and mass convergence, which were not previously characterized.

Findings

SUSY breaking terms are suppressed during most of the RG flow.

Gaugino and scalar masses converge to specific values at a cascade stage.

Gauge symmetry breaking can terminate the cascade via B-term induced effects.

Abstract

We study the duality cascade of softly broken supersymmetric theories. We investigate the renormalization group (RG) flow of SUSY breaking terms as well as supersymmetric couplings. It is found that the magnitudes of SUSY breaking terms are suppressed in most regimes of the RG flow through the duality cascade. At one stage of cascading, the gaugino mass of the strongly coupled sector and scalar masses converge to certain values, which are determined by the gauge coupling and the gaugino mass of the weakly coupled sector. At the next stage, the strongly and weakly coupled sectors are interchanged with each other. We also show the possibility that cascading would be terminated by the gauge symmetry breaking, which is induced by the so-called B-term.