On the relation between the CP phases in the PMNS matrix, CP-violation with sterile neutrinos and leptogenesis

TL;DR

This paper explores how CP violation in the lepton sector relates to heavy neutrino properties and the universe's matter-antimatter asymmetry within the minimal seesaw model, highlighting testable predictions and future experimental prospects.

Contribution

It establishes a link between observable CP violation, heavy neutrino couplings, and leptogenesis, providing a framework for testing neutrino mass generation mechanisms.

Findings

Measurement of the Dirac phase can predict heavy neutrino couplings.

Discovery of heavy neutral leptons would test neutrino mass and baryogenesis theories.

The model connects CP violation with the baryon asymmetry of the universe.

Abstract

We discuss the connection between observable CP violation in the lepton sector, the properties of heavy neutrinos and the baryon asymmetry of the universe in the minimal seesaw model. A measurement of the Dirac phase $\delta$ would allow to make testable predictions for the couplings of the heavy neutrinos to individual Standard Model lepton flavours. If any heavy neutral leptons are experimentally discovered in the future, this provides a powerful test for the mechanism of neutrino mass generation and baryogenesis.