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We study all possible texture zeros in the Majorana neutrino mass matrixwhich are allowed from neutrino oscillation as well as cosmology data when thecharged lepton mass matrix is assumed to take the diagonal form. In case ofone-zero texture, we write down the Majorana phases which are assumed to beequal and the lightest neutrino mass as a function of the Dirac CP phase. Incase of two-zero texture, we numerically evaluate all the three CP phases andlightest neutrino mass by solving four real constraint equations. We thenconstrain texture zero mass matrices from the requirement of producing correctbaryon asymmetry through the mechanism of leptogenesis. Adopting a type Iseesaw framework, we consider the CP violating out of equilibrium decay of thelightest right handed neutrino as the source of lepton asymmetry. Apart fromdiscriminating between the texture zero mass matrices and light neutrino masshierarchy, we also constrain the Dirac and Majorana CP phases so that theobserved baryon asymmetry can be produced. In two-zero texture, we furtherconstrain the diagonal form of Dirac neutrino mass matrix from the requirementof producing correct baryon asymmetry.

Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry