On non-universal Goldstino couplings to matter

TL;DR

This paper develops a formalism using constrained superfields to describe non-universal goldstino couplings to matter fields, capturing effects from heavy superpartners and extending the understanding of goldstino interactions in supersymmetric models.

Contribution

It introduces generalized higher-order superfield constraints that account for non-universal goldstino couplings arising from heavy superpartners in supersymmetric theories.

Findings

Derived new superfield constraints for non-universal couplings.

Showed reduction to universal constraints in the decoupling limit.

Initiated study of goldstino interactions with Standard Model fields.

Abstract

Using the constrained superfields formalism to describe the interactions of a light goldstino to matter fields in supersymmetric models, we identify generalised, higher-order holomorphic superfield constraints that project out the superpartners and capture the non-universal couplings of the goldstino to matter fields. These arise from microscopic theories in which heavy superpartners masses are of the order of the supersymmetry breaking scale (\sqrt f). In the decoupling limit of infinite superpartners masses, these constraints reduce to the familiar, lower-order universal constraints discussed recently, that describe the universal goldstino-matter fields couplings, suppressed by inverse powers of \sqrt f. We initiate the study of the couplings of the Standard Model (SM) fields to goldstino in the constrained superfields formalism.