Kahler Independence of the G2-MSSM

TL;DR

This paper generalizes the G2-MSSM model by allowing arbitrary G2-holonomy Kahler potentials, demonstrating that key phenomenological features like gaugino mass suppression remain robust despite these generalizations.

Contribution

It proves the invariance of vacuum structure and particle spectrum under broad Kahler potential modifications in G2-MSSM models.

Findings

Gaugino masses remain suppressed relative to gravitino and moduli masses.

Vacuum structure is largely unchanged in generalized models.

Higher order corrections relate LSP nature to flavor effects.

Abstract

The G2-MSSM is a model of particle physics coupled to moduli fields with interesting phenomenology both for colliders and astrophysical experiments. In this paper we consider a more general model - whose moduli Kahler potential is a completely arbitrary G2-holonomy Kahler potential and whose matter Kahler potential is also more general. We prove that the vacuum structure and spectrum of BSM particles is largely unchanged in this much more general class of theories. In particular, gaugino masses are still supressed relative to the gravitino mass and moduli masses. We also consider the effects of higher order corrections to the matter Kahler potential and find a connection between the nature of the LSP and flavor effects.