6533b851fe1ef96bd12a9837

RESEARCH PRODUCT

Classifying CP transformations according to their texture zeros: theory and implications

José W. F. ValleFelix Gonzalez-canalesPeng ChenGui-jun Ding

subject

PhysicsParticle physics010308 nuclear & particles physicsPhysics beyond the Standard ModelHigh Energy Physics::PhenomenologyPontecorvo–Maki–Nakagawa–Sakata matrixFOS: Physical sciencesMass matrix01 natural sciencesHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Leptogenesis0103 physical sciencesCP violationHigh Energy Physics::ExperimentNeutrino010306 general physicsNeutrino oscillationMixing (physics)

description

We provide a classification of generalized CP symmetries preserved by the neutrino mass matrix according to the number of zero entries in the associated transformation matrix. We determine the corresponding constrained form of the lepton mixing matrix, characterized by correlations between the mixing angles and the CP violating phases. We compare with the corresponding restrictions from current neutrino oscillation global fits and show that, in some cases, the Dirac CP phase characterizing oscillations is highly constrained. Implications for current and upcoming long baseline neutrino oscillation experiments T2K, NO$\nu$A and DUNE, as well as neutrinoless double beta decay experiments are discussed. We also study the cosmological implications of such schemes for leptogenesis.

https://dx.doi.org/10.48550/arxiv.1604.03510