# Constraining Affleck-Dine Leptogenesis after Thermal Inflation

## TL;DR

This paper derives constraints on supersymmetric parameters for Affleck-Dine leptogenesis after thermal inflation, using renormalisation group equations and numerical methods to align with cosmological and particle physics observations.

## Contribution

It provides a semi-analytic and numerical framework to constrain supersymmetric models for leptogenesis consistent with cosmological data.

## Key findings

- Derived semi-analytic constraints on soft SUSY parameters.
- Numerically constrained the MSSM using baryogenesis, Higgs mass, and dark matter data.
- Identified parameter regions compatible with leptogenesis and cosmological observations.

## Abstract

Affleck-Dine leptogenesis after thermal inflation along the $LH_u$ direction requires $m_L^2+m_{H_u}^2 < 0$ up to the AD scale ($|L|\simeq |H_u|\sim 10^9$ GeV). We renormalised this condition from the AD scale to the soft supersymmetry breaking scale by solving the renormalisation group equations perturbatively in the Yukawa couplings to obtain a semi-analytic constraint on the soft supersymmetry breaking parameters. We also used a fully numerical method to renormalise the baryogenesis condition and constrained the Minimal Supersymmetric Cosmological Model using the resulting baryogenesis condition and other constraints, specifically, electroweak symmetry breaking, the observed Higgs mass, and the axino dark matter abundance.