Holomorphic Scalar Portals and the OPE

TL;DR

This paper develops a systematic approach using the superconformal operator product expansion to analyze hidden-sector SUSY-breaking effects via holomorphic scalar portals, enabling model building and viability analysis.

Contribution

It introduces a general method to compute OPE coefficients for superfield correlation functions, separating high-energy dynamics from low-energy SUSY-breaking effects.

Findings

Provides a systematic way to compute OPE coefficients.

Disentangles high-energy and low-energy dynamics in SUSY-breaking models.

Applicable to gauge- or gravity-mediated SUSY breaking models.

Abstract

Visible-sector SUSY-breaking effects are computed in terms of hidden-sector correlation functions for generic holomorphic scalar portals. The solutions, which are valid irrespective of the hidden-sector dynamics, are approximated with the help of the operator product expansion (OPE). Indeed, for theories with superconformal symmetry at high energy, the superconformal OPE formalism can be used to disentangle the high-energy dynamics, encoded in the OPE coefficients, from the low-energy dynamics of the SUSY-breaking vacuum expectation values. A systematic method is proposed to compute the OPE coefficients, using relations between correlation functions of superfields and correlation functions of their quasi-primary component fields. The method, which is quite general, could be useful in building models of gauge- or gravity-mediated SUSY breaking and in analysing the viability of such models in a systematic way.