Positive Order H^2 Mass Corrections and Affleck-Dine Baryogenesis

TL;DR

This paper explores the impact of positive H^2 mass corrections on the Affleck-Dine baryogenesis mechanism, showing that such corrections can still produce the observed baryon asymmetry under certain conditions, broadening the mechanism's applicability.

Contribution

It demonstrates that positive H^2 mass corrections do not necessarily hinder the Affleck-Dine mechanism and can enable baryogenesis over a wider range of inflation models.

Findings

For c > 9/16, baryon asymmetry is likely too small.

For c around 0.5, observed asymmetry can be generated.

Positive H^2 corrections can relax reheating temperature constraints.

Abstract

It is usually assumed that the order H^2 corrections to the SUSY-breaking mass squared terms in the early Universe must be negative in order to allow the Affleck-Dine mechanism to work. We reconsider this assumption in the context of D-term inflation models for the case where the mass squared term has a correction cH^2 with c>0. We show that, in general, the baryon asymmetry is likely to be too small if c > 9/16. However, for c as large as 0.5 the observed baryon asymmetry can be readily generated; in particular, for d=6 directions the observed asymmetry can be produced for a wide range of reheating temperatures, in contrast with the case of negative H^2 corrections which require a reheating temperature around 1 GeV. Thus positive H^2 corrections do not rule out the Affleck-Dine mechanism and can even greatly broaden its applicability to inflation models.