CP violation in neutrino mixing matrix and leptogenesis

TL;DR

This paper discusses how CP violation in the neutrino mixing matrix relates to leptogenesis, emphasizing the potential to estimate maximum CP violation and its implications for the universe's lepton asymmetry.

Contribution

It highlights the connection between CP violation measures and neutrino mixing angles, providing a way to estimate maximum CP violation and assess leptogenesis viability.

Findings

Maximum CP violation can be estimated from neutrino mixing angles.

Leptogenesis may be ruled out in some models based on the neutrino mass matrix.

The effective theory links CP violation in neutrino mixing to the universe's lepton asymmetry.

Abstract

The CP violation required in leptogenesis may have different origin, but in an effective theory they all are related to the rephasing invariant CP violating measure in the mixing matrix of the leptonic sector. We point out that the maximum amount of CP violation in some models can be estimated with our present knowledge of the neutrino mixing angles, which can help us understand the CP violation in the generation of the lepton asymmetry of the universe. For example, the possibility of leptogenesis may be ruled out in some models from an knowledge of the effective neutrino mass matrix.