Building the full Pontecorvo-Maki-Nakagawa-Sakata matrix from six independent Majorana-type phases

Gustavo C. Branco and M. N. Rebelo

Phys. Rev. D 79, 013001 – Published 7 January 2009

Abstract

In the framework of three light Majorana neutrinos, we show how to reconstruct, through the use of $3 \times 3$ unitarity, the full PMNS matrix from six independent Majorana-type phases. In particular, we express the strength of Dirac-type $C P$ 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 $C P$ -odd weak-basis invariants as well as in leptonic asymmetries relevant for flavored leptogenesis.

Received 6 October 2008

DOI:https://doi.org/10.1103/PhysRevD.79.013001

Authors & Affiliations

Gustavo C. Branco^1,2,* and M. N. Rebelo^1,3,4,†

¹Departamento de Física and Centro de Física Teórica de Partículas (CFTP), Instituto Superior Técnico (IST), Av. Rovisco Pais, 1049-001 Lisboa, Portugal
²Departament de Física Teòrica and IFIC, Universitat de València-CSIC, E-46100, Burjassot, Spain
³CERN, Department of Physics, Theory Unit, CH-1211, Geneva 23, Switzerland
⁴NORDITA, Roslagstullsbacken 23, SE-10691, Stockholm, Sweden

^*On sabbatical leave at Universitat de València-CSIC until June 30, 2008. gbranco@ist.utl.pt
^†On sabbatical leave at CERN PH-TH during part of 2007/2008. margarida.rebelo@cern.ch and rebelo@ist.utl.pt

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Vol. 79, Iss. 1 — 1 January 2009

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Physical Review D

covering particles, fields, gravitation, and cosmology