# $\mu$-Hybrid Inflation with Low Reheat Temperature and Observable Gravity Waves

## TL;DR

This paper proposes a $bc$-hybrid inflation model that addresses the $bc$ problem, achieves low reheat temperatures, and predicts observable gravity waves with a tensor-to-scalar ratio between 10^{-6} and 10^{-3}.

## Contribution

It introduces a minimal superpotential and non-minimal Ka4hler potential to realize low-temperature inflation with detectable gravity waves.

## Key findings

- Reheat temperature can be as low as 10^6 GeV.
- Tensor-to-scalar ratio r can reach up to 10^{-3}.
- Model resolves the $bc$ problem in supersymmetry.

## Abstract

In $\mu$-hybrid inflation a nonzero inflaton vacuum expectation value induced by supersymmetry breaking is proportional to the gravitino mass $m_{3/2}$, which can be exploited to resolve the minimal supersymmetric standard model $\mu$ problem. We show how this scenario can be successfully implemented with $m_{3/2} \sim 1-100$ TeV and reheat temperature as low as $10^6$ GeV by employing a minimal renormalizable superpotential coupled with a well defined non-minimal K\"ahler potential. The tensor-to-scalar ratio $r$, a canonical measure of primordial gravity waves in most cases is less than or of the order of $10^{-6}-10^{-3}$.