Non-zero $θ_{13}$ from the Triangular Ansatz and Leptogenesis

Abstract

Recent experiments indicate a departure from the exact Tri-Bimaximal mixing by measuring definitive non-zero value of $θ_{13}$. Within the framework of type I seesaw mechanism, we reconstruct the triangular Dirac neutrino mass matrix from the $μ-τ$ symmetric mass matrix. The deviation from $μ-τ$ symmetry is then parametrized by adding dimensionless parameters $y_i$ in the triangular mass matrix. In this parametrization of the neutrino mass matrix, the non-zero value $θ_{13}$ is controlled by $Δy = y_4 - y_6$. We also calculate the resulting leptogenesis and show that the triangular texture can generate the observed baryon asymmetry in the universe via leptogenesis scenario.