Mild-split SUSY with flavor

TL;DR

This paper explores a gauge mediated mild-split SUSY model with flavor textures, analyzing its compatibility with flavor constraints, unification, and dark matter, and providing a general formula for soft masses.

Contribution

It introduces a quiver-like gauge mediated SUSY model with natural flavor textures and derives a general formula for soft masses in such models.

Findings

Model can satisfy some flavor constraints but is on the edge of others.

Heavy stop loops raise the Higgs mass near 125 GeV.

Provides a general formula for soft masses in quiver-like models.

Abstract

In the framework of a gauge mediated quiver-like model, the standard model flavor texture can be naturally generated. The model - like the MSSM - has furthermore a region in parameter space where the lightest Higgs mass is fed by heavy stop loops, which in turn sets the average squark mass scale near 10-20 TeV. We perform a careful flavor analysis to check whether this type of mild-split SUSY passes all flavor constraints as easily as envisioned in the original type of split SUSY. Interestingly, it turns out to be on the border of several constraints, in particular, the branching ratio of mu -> e gamma and, if order one complex phases are assumed, also epsilon_K neutron and electron EDM. Furthermore, we consider unification as well as dark matter candidates, especially the gravitino. Finally, we provide a closed-form formula for the soft masses of matter in arbitrary representations of any of the gauge groups in a generic quiver-like model with a general messenger sector.