Tree level spontaneous R-symmetry breaking in O'Raifeartaigh models

TL;DR

This paper demonstrates that R-symmetry breaking in O'Raifeartaigh models can occur at tree level through non-zero field values, expanding the understanding of supersymmetry breaking mechanisms and offering new model-building possibilities.

Contribution

It shows that R-symmetry can be broken at tree level in O'Raifeartaigh models and constructs new models with this property, broadening the scope of SUSY model building.

Findings

R-symmetry can be broken at tree level by non-zero field values.

A field with R-charge different from 0 and 2 is necessary for R-symmetry breaking.

Constructed models are free of runaway problems and exhibit R-symmetry breaking across the pseudomoduli space.

Abstract

We show that in O'Raifeartaigh models of spontaneous supersymmetry breaking, R-symmetries can be broken by non-zero values of fields at tree level, rather than by vacuum expectation values of pseudomoduli at loop level. As a complement of the recent result by Shih, we show that there must be a field in the theory with R-charge different from zero and two in order for R-symmetry breaking to occur, no matter whether the breaking happens at tree or loop level. We review the example by CDFM, and construct two types of tree level R-symmetry breaking models with a wide range of parameters and free of runaway problem. And the R-symmetry is broken everywhere on the pseudomoduli space in these models. This provides a rich set of candidates for SUSY model building and phenomenology.