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

In the framework of three light Majorana neutrinos, we show how to reconstruct, through the use of 3 × 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. On sabbatical leave at Universitat de València-CSIC until 30 June 2008. Email: [email protected] On sabbatical leave at CERN PH-TH during part of 2007/2008. Core scientist at the NORDITA program “TeV scale physics and dark matter” Summer 2008. Email: [email protected] and [email protected]