Reheating after inflation by supersymmetry breaking

TL;DR

This paper investigates reheating after inflation in supersymmetric models where the inflaton is a superpartner of the goldstino, analyzing two classes of models with different Kähler geometries and their implications for MSSM parameters, dark matter, and reheating temperature.

Contribution

It introduces two supersymmetric inflation models with specific Kähler geometries and analyzes their reheating process, MSSM coupling, and dark matter compatibility.

Findings

Reheating temperature around 10^8 GeV.

Models fit within 2σ CMB observational bounds.

Possible accommodation of superheavy LSP dark matter.

Abstract

We study reheating after the end of inflation in models where the inflaton is the superpartner of goldstino and is charged under a gauged $U(1)$ R-symmetry. We consider two classes of models -- one is small field characterized by an almost flat K\"ahler space, and the other large field characterized by a hyperbolic K\"ahler space $SU(1,1)/U(1)$, while in both cases the inflaton superpotential is linear due to the R-symmetry. The inflationary observables of our models fit within 2$\sigma$ CMB values. Upon coupling the inflaton sector to the (supersymmetric) Standard Model, we compute the MSSM parameters, mass spectrum, and decay modes of the inflaton, with the resulting reheating temperature around $10^8$ GeV. We also find that both models can accommodate superheavy LSP dark matter, depending on the parameter choice.