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

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.

20 pages

References in corpus (12)

• Leptogenesis
• Flavour physics of leptons and dipole moments
• Flavour Matters in Leptogenesis
• Hints of theta_13>0 from global neutrino data analysis
• CP-violation from non-unitary leptonic mixing
• Heavy neutrino signals at large hadron colliders
• Connecting Low Energy Leptonic CP-violation to Leptogenesis
• A new bridge between leptonic CP violation and leptogenesis
• Resonant CP Violation due to Heavy Neutrinos at the LHC
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• Small violations of unitarity, the phase in Bs mixing and visible t->cZ decays at the LHC
• Minimal Lepton Flavour Violation and Leptogenesis with exclusively low-energy CP Violation

Cited by in corpus (14)

• Leptonic CP violation
• Constraints on leptogenesis from a symmetry viewpoint
• Dirac Lepton Angle Matrix v.s. Majorana Lepton Angle Matrix and Their Renormalization Group Running Behaviours
• Quasidegeneracy of Majorana Neutrinos and the Origin of Large Leptonic Mixing
• The minimal adjoint-SU(5)xZ_4 GUT model
• Leptonic CP Violation from a New Perspective
• Leptogenesis and $CP$ violation in $SU(5)$ models with lepton flavor mixing originating from the right-handed sector
• Effects of perturbation for transition operator of double-$\beta$ decay on nuclear matrix element, effective axial-vector current coupling, and half-life
• Leptonic Invariants, Neutrino Mass-Ordering and the Octant of ${\theta }_{23}$
• Connecting Majorana phases to the Geometric Parameters of Majorana Unitarity Triangle in a model of Neutrino Mass Matrix
• Leptogenesis and Low-energy Observables
• A Highly Predictive Ansatz for Leptonic Mixing and CP Violation
• Flavour Physics and CP Violation in the Standard Model and Beyond
• Minimal structure for neutrino mass matrix