# Chaotic Inflation from the MSSM Along Flat $D$-Term Trajectory

## TL;DR

This paper proposes a chaotic inflation model within the MSSM where the inflaton is a combination of sleptons and Higgs fields along a flat D-term direction, with reheating driven by Yukawa interactions, matching cosmological data.

## Contribution

It introduces a novel MSSM-based chaotic inflation scenario with specific Yukawa-driven reheating, aligning theoretical predictions with observations.

## Key findings

- Scalar spectral index n_s ≈ 0.966
- Tensor-to-scalar ratio r ≈ 0.00117
- Reheating temperature T_r ≈ 7.2×10^7 GeV

## Abstract

Within the MSSM we propose the chaotic inflationary scenario in which the inflaton field is a combination of sleptons and the Higgs field states evolving along the $D$-term flat direction. In the inflation and postinflation reheating processes, a decisive role is played by the MSSM Yukawa superpotential. The vacuum energy during the inflationary era is mainly from the muonic Yukawa coupling, while the inflaton decay and subsequent reheating process dominantly proceeds due to the strange quark Yukawa term. Because of these, the presented scenario is predictive and the results obtained agree well with cosmological observations. In particular, the scalar spectral index and the tensor-to-scalar ratio are respectively, $n_s\simeq 0.966$ and $r=0.00117$. The reheating temperature is found to be $T_r\simeq 7.2\times 10^7$ GeV.