Higgs Inflation, Reheating and Gravitino Production in No-Scale Supersymmetric GUTs

TL;DR

This paper explores supersymmetric Higgs inflation models within no-scale supergravity and grand unification, analyzing their inflation predictions, reheating process, and gravitino production, extending previous work to include flipped SU(5) and Pati-Salam models.

Contribution

It introduces inflation models based on flipped SU(5) and Pati-Salam groups, expanding the class of models that interpolate between quadratic and Starobinsky-like inflation.

Findings

Inflation predictions interpolate between quadratic and Starobinsky models.

Reheating analysis shows the number of e-folds is independent of reheating temperature.

Predictions for scalar tilt and tensor-to-scalar ratio are derived.

Abstract

We extend our previous study of supersymmetric Higgs inflation in the context of no-scale supergravity and grand unification, to include models based on the flipped SU(5) and the Pati-Salam group. Like the previous SU(5) GUT model, these yield a class of inflation models whose inflation predictions interpolate between those of the quadratic chaotic inflation and Starobinsky-like inflation, while avoiding tension with proton decay limits. We further analyse the reheating process in these models, and derive the number of e-folds, which is independent of the reheating temperature. We derive the corresponding predictions for the scalar tilt and the tensor-to-scalar ratio in cosmic microwave background perturbations, as well as discussing the gravitino production following inflation.