General Gauge Mediation in 5D

TL;DR

This paper extends the General Gauge Mediation formalism to a 5D orbifold setup, deriving mass formulas for superpartners and constructing a model with adjustable gaugino-sfermion mass ratios based on extra dimension size.

Contribution

It develops a 5D GGM framework for SUSY breaking mediation, providing new mass formulas and a model with tunable gaugino versus sfermion masses.

Findings

Derived gaugino, sfermion, and hyperscalar mass formulas for various regimes.

Constructed a 5D model with an SU(5) ISS hidden sector.

Showed the gaugino-sfermion mass ratio can be tuned by the extra dimension length.

Abstract

We use the "General Gauge Mediation" formalism to describe a 5D setup with an $S^{1}/Z_{2}$ orbifold. We first consider a model independent SUSY breaking hidden sector on one boundary and generic chiral matter on another. Using the definition of GGM, the effects of the hidden sector are contained in a set of global symmetry current correlator functions and is mediated through the bulk. We find the gaugino, sfermion and hyperscalar mass formulas for minimal and generalised messengers in different regimes of a large, small and intermediate extra dimension. Then we use the 5D GGM formalism to construct a model in which an SU(5) ISS model is located on the hidden boundary. We weakly gauge a global symmetry of the ISS model and associate it with the bulk vector superfield. Compared to 4D GGM, there is a natural way to adjust the gaugino versus sfermion mass ratio by a factor $(M l)^{2}$, where M is a characteristic mass scale of the SUSY breaking sector and l is the length of the extra dimension.