Effective Action of Softly Broken Supersymmetric Theories

TL;DR

This paper analyzes the one-loop renormalization of softly broken supersymmetric theories using a superspace approach with spurion insertions, providing a detailed and general framework for understanding their quantum corrections.

Contribution

It introduces a systematic method for calculating one-loop renormalization in softly broken supersymmetric theories using algebraic properties of spurion operators.

Findings

Derived algebraic properties of spurion operators for efficient calculations

Computed one-loop renormalization including effects on the Kaehler potential

Provided a general framework applicable to various softly broken supersymmetric models

Abstract

We study the renormalization of (softly) broken supersymmetric theories at the one loop level in detail. We perform this analysis in a superspace approach in which the supersymmetry breaking interactions are parameterized using spurion insertions. We comment on the uniqueness of this parameterization. We compute the one loop renormalization of such theories by calculating superspace vacuum graphs with multiple spurion insertions. To preform this computation efficiently we develop algebraic properties of spurion operators, that naturally arise because the spurions are often surrounded by superspace projection operators. Our results are general apart from the restrictions that higher super covariant derivative terms and some finite effects due to non-commutativity of superfield dependent mass matrices are ignored. One of the soft potentials induces renormalization of the Kaehler potential.