$Z_{2}$-Odd Polonyi Field in Twin Higgs Model

TL;DR

This paper explores a supersymmetric Twin Higgs model with a $Z_2$-odd Polonyi field, demonstrating the absence of the Polonyi problem and its role in $Z_2$-breaking of the Higgs potential.

Contribution

It introduces a $Z_2$-odd Polonyi field in a supersymmetric Twin Higgs framework, showing how it avoids the Polonyi problem and contributes to $Z_2$-breaking.

Findings

Polonyi field can be $Z_2$-odd with no Polonyi problem

Gaugino masses generated at tree-level in this setup

The $Z_2$-breaking effects in soft masses are estimated

Abstract

We consider a supersymmetric mirror Twin Higgs model in a gravity-mediated supersymmetry-breaking scenario. We point out that the Polonyi field can be odd under the $Z_{2}$ symmetry exchanging the Standard Model with the mirror sector while gaugino masses are generated at tree-level. We discuss the dynamics of the Polonyi field during and after inflation and show that the Polonyi problem is absent. The Polonyi field couples to the two sectors with opposite signs, which may serve as origin of the $Z_{2}$-breaking of the Higgs potential in Twin Higgs models. We also estimate the $Z_2$-breaking in soft masses of supersymmetric particles.