Majorana Unitarity Triangle in Two-Texture Zero Neutrino Mass Model and Associated Phenomenology

Abstract

Non-zero value of $\theta _{13}$ has, now, shifted the focus of the neutrino oscillation experiments to measure leptonic CP violation. If neutrinos are Majorana particles, the mixing matrix contains two Majorana-type CP-violating phases along with Dirac phase. In the present work, we have established a possible relation between Majorana CP phases and geometric parameters of Majorana unitarity triangle (MUT) in two-texture zero neutrino mass model. Similar relations can, also, be derived for other theoretical and phenomenological neutrino mass models. For two-texture zero models, we find that Majorana CP phases depend on one of the interior angles of MUT. The non-trivial orientation of MUT in complex plane and its non-vanishing area suggests that CP violation is inherent in two-texture models.