A Note on Polonyi Problem

TL;DR

This paper revisits the Polonyi problem in cosmology, analyzing how a large Polonyi mass affects early universe evolution and dark matter overproduction, highlighting significant cosmological challenges for certain supersymmetry models.

Contribution

It provides a detailed analysis of the Polonyi problem with high supersymmetry breaking scale, showing the necessity of very heavy Polonyi fields and the overproduction of neutralino dark matter.

Findings

Polonyi mass must exceed 100-1000 TeV for high reheating temperatures.

Branching ratio into neutralinos is about unity, risking overclosure of the universe.

Cosmological difficulties are severe for models with Polonyi-type supersymmetry breaking.

Abstract

We reinvestigate the cosmological Polonyi problem in the case where the Polonyi mass is $\mathcal{O}(10) \rm{TeV}$. Such a large supersymmetry breaking scale implies that the Polonyi field should be sequestered from the standard model sector. Since the Polonyi field does not have a coupling to the gauge multiplets at tree level, in order to obtain sufficiently high reheating temperature compatible with the standard big-bang nucleosynthesis the Polonyi mass well exceeds 100 - 1000 TeV, depending on the decay channels. Moreover, we find that the branching ratio of the Polonyi field into neutralinos is of order unity, and thus the resulting neutralino LSPs, if stable, overclose the Universe even for the case of the wino-like LSP. Our explicit computation given here exhibits a very serious cosmological difficulty for models where supersymmetry breaking is caused by the Polonyi-type field.