Effective Action of Softly Broken Supersymmetric Theories

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.

arXiv comment1+28 pages LaTeX, A few references added

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Cited by in corpus (7)

• Inflation from High-Scale Supersymmetry Breaking
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• Linear delta expansion applied to the O'Raifeartaigh model
• Superspace evaluation of the two-loop effective potential for the O'Raifeartaigh model
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Supergraph Approach in a Higher-order LDE Calculation of the Effective Potential for F-type Broken SUSY
• One-loop Self Energies in Softly Broken Supersymmetric QED