Mass-derivative relations and unitarity constraints for $CP$ asymmetries at finite temperature

Abstract

Within the seesaw type-I leptogenesis, we formulate $CPT$ and unitarity constraints for the equilibrium reaction rate $CP$ asymmetries and consider thermal mass and quantum statistics. We demonstrate that including higher-order perturbative corrections in the classical Boltzmann equation remarkably induces quantum effects into the kinetic theory.

Comments: Accepted for publication in Journal of Cosmology and Astroparticle Physics