Gauge mediated supersymmetry breaking and the cosmology of Left-Right symmetric model

TL;DR

This paper explores a gauge mediated supersymmetry breaking model with parity breaking in Left-Right symmetric theories, addressing cosmological issues like domain walls, relic densities, and leptogenesis, highlighting the need for fine tuning.

Contribution

It constructs a model where parity and supersymmetry breaking occur simultaneously, providing a cosmologically consistent framework for Left-Right symmetric models.

Findings

Domain walls can be made unstable to align with cosmology.

Leptogenesis remains viable without fine tuning.

Fine tuning is necessary for addressing all cosmological issues.

Abstract

Left-Right symmetry including supersymmetry presents an important class of gauge models which may possess natural solutions to many issues of phenomenology. Cosmology of such models indicates a phase transition accompanied by domain walls. Such walls must be unstable in order to not conflict with standard cosmology, and can further be shown to assist with open issues of cosmology such as dilution of unwanted relic densities and leptogenesis. In this paper we construct a model of gauge mediated supersymmetry breaking in which parity breaking is also signalled along with supersymmetry breaking and so as to be consistent with cosmological requirements. It is shown that addressing all the stated cosmological issues requires an extent of fine tuning, while in the absence of fine tuning, leptogenesis accompanying successful completion of the phase transition is still viable.