Building the full PMNS Matrix from six independent Majorana-type phases

TL;DR

This paper demonstrates how to reconstruct the complete PMNS matrix for Majorana neutrinos using six independent phases, linking CP violation measures to these phases and exploring their role in leptogenesis.

Contribution

It introduces a method to derive the full PMNS matrix from Majorana phases and connects these phases to CP violation and leptogenesis observables.

Findings

Reconstruction of the PMNS matrix from Majorana phases.

Expression of Dirac CP violation strength in terms of Majorana phases.

Analysis of Majorana phases in CP-odd invariants and leptogenesis.

Abstract

In the framework of three light Majorana neutrinos, we show how to reconstruct, through the use of 3 x 3 unitarity, the full PMNS matrix from six independent Majorana-type phases. In particular, we express the strength of Dirac-type CP violation in terms of these Majorana-type phases by writing the area of the unitarity triangles in terms of these phases. We also study how these six Majorana phases appear in CP-odd weak basis invariants as well as in leptonic asymmetries relevant for flavoured leptogenesis.