Extended Tree-Level Gauge Mediation

TL;DR

This paper extends the tree-level gauge mediation framework to E_6, showing that sfermion masses are SU(5) invariant at the GUT scale and exploring implications for universal sfermion masses and CMSSM boundary conditions.

Contribution

It generalizes TGM to E_6, classifies rank 6 subgroups, and predicts SU(5) invariance of sfermion masses at the GUT scale.

Findings

Sfermion masses are SU(5) invariant at the GUT scale.

Universal sfermion masses arise when SUSY breaking is mediated by a specific U(1).

The framework provides a new scenario for CMSSM boundary conditions.

Abstract

Tree-level gauge mediation (TGM) is a scenario of SUSY breaking in which the tree-level exchange of heavy (possibly GUT) vector fields generates flavor-universal sfermion masses. In this work we extend this framework to the case of E_6 that is the natural extension of the minimal case studied so far. Despite the number of possible E_6 subgroups containing G_SM is large (we list all rank 6 subgroups), there are only three different cases corresponding to the number of vector messengers. As a robust prediction we find that sfermion masses are SU(5) invariant at the GUT scale, even if the gauge group does not contain SU(5). If SUSY breaking is mediated purely by the U(1) generator that commutes with SO(10) we obtain universal sfermion masses and thus can derive the CMSSM boundary conditions in a novel scenario.