Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix

Abstract

The generic predictions of inverse Majorana neutrino mass matrix, $M_{\nu }^{-1}$ with texture two zeros, in the basis where charged lepton mass matrix is diagonal, have been obtained for neutrino masses and mixings, especially, ${\theta }_{13}$ and CP-violating phases. Such type of mass models are natural in the context of seesaw models with Dirac neutrino mass matrix, $M_D$, diagonal. Out of the fifteen possible texture two zeros patterns of the inverse neutrino mass matrix only seven are found to be compatible with the available data on neutrino masses and mixings including the latest $T\text{2}K$ observation of non-zero ${\theta }_{13}$. It is, also, found that ${\theta }_{13}=0$ is disallowed in the mass models investigated in the present work. While the neutrino mass matrices of type I and II are found to be necessarily CP violating, type III is found to be CP-violating for a special case where ${\theta }_{23}$ lie above maximality. The atmospheric mixing angle, ${\theta }_{23}$ is found to dictate the possible hierarchies in type I and II neutrino mass models. For type III, additional information regarding $m_{ee}$ will be required to rule out the inverted hierarchy (IH). A maximal ${\theta }_{23}$ is found to be disallowed in all types of texture two zero $M_{\nu }^{-1}$ Ans$\ddot{a}$tz.

Accepted for publication in Nucl. Phys. B

References in corpus (7)

• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Zero minors of the neutrino mass matrix
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Scaling in the Neutrino Mass Matrix
• Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor
• Neutrino Mass Matrices With Vanishing Determinant
• CP Violation in Two Zero Texture Neutrino Mass Matrices

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