CP odd weak basis invariants in minimal see-saw model and Leptogenesis

Abstract

In this paper, we derive the relationship between the weak basis invariants (WB) related to CP violation responsible for leptogenesis and CP violation relevant at low energy. We examine all the experimental viable cases of Frampton-Glashow and Yanagida (FGY) model, in order to construct the WB invariants in terms of left handed Majorana neutrino mass matrix elements, and thus finding the necessary and sufficient condition for CP conservation. Further for all the viable FGY texture zeros, we have shown the explicit dependence of WB invariants on Dirac type and Majorana type CP violating phases. In the end, we discuss the implication of such interrelationships on leptogenesis.

arXiv comment16 pages, 1 Table

References in corpus (25)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Oscillating neutrinos and mu --> e, gamma
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Towards a complete theory of thermal leptogenesis in the SM and MSSM
• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• CP Violation and Baryogenesis due to Heavy Majorana Neutrinos
• Cosmological Sign of Neutrino CP Violation
• Search for Neutrino Oscillations at the Palo Verde Nuclear Reactors
• Neutrino Phenomenology -- the case of two right handed neutrinos
• Testing Seesaw and Leptogenesis with Gravitational Waves
• A Bridge between CP violation at Low Energies and Leptogenesis
• Neutrinoless Double Beta Decay
• Neutrino Masses, Lepton Flavor Mixing and Leptogenesis in the Minimal Seesaw Model
• Degenerate and Quasi Degenerate Majorana Neutrinos
• Seesaw Mechanism with Occam's Razor
• Neutrinoless Double Beta Decay and the Baryon Asymmetry of the Universe
• How to Describe Neutrino Mixing and CP Violation
• Calculable CP-violating Phases in the Minimal Seesaw Model of Leptogenesis and Neutrino Mixing
• Supersymmetric Jarlskog Invariants: the Neutrino Sector
• Leptonic CP Violation and Neutrino Mass Models
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Perturbed Yukawa Textures in the Minimal Seesaw Model
• A 3 X 2 texture for neutrino oscillations and leptogenesis
• Leptonic Invariants, Neutrino Mass-Ordering and the Octant of ${\theta }_{23}$