Constraining Affleck-Dine leptogenesis after thermal inflation

Abstract

Affleck-Dine leptogenesis after thermal inflation along the LHu direction requires m(L)(2) + m(Hu)(2) 4 < 0 up to the AD scale (vertical bar L vertical bar similar or equal to vertical bar H-u vertical bar 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, which is much stronger than the tree-level result. 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 axion and axino dark matter abundance.