A 3 X 2 texture for neutrino oscillations and leptogenesis

Abstract

In an economical system with only two heavy right handed neutrinos, we postulate a new texture for $3\times 2$ Dirac mass matrix $m_D$. This model implies one massless light neutrino and thus displays only two patterns of mass spectrum for light neutrinos, namely hierarchical or inverse-hierarchical. Both the cases can correctly reproduce all the current neutrino oscillation data with a unique prediction $m_{{\nu }_e{\nu }_e}=\frac{\sqrt{\Delta m_{solar}^2}}{3}$ and $\sqrt{\Delta m_{atm}^2}$ for the hierarchical and the inverse-hierarchica cases, respectively, which can be tested in next generation neutrino-less double beta decay experiments. Introducing a single physical CP phase in $m_D$, we examine baryon asymmetry through leptogenesis. Interestingly, through the CP phase there are correlations between the amount of baryon asymmetry and neutrino oscillation parameters. We find that for a fixed CP phase, the hierarchical case also succeeds in generating the observed baryon asymmetry in our universe, plus a non-vanishing $U_{e3}$ which is accessible in future baseline neutrino oscillation experiments.

version accepted in Phys. Lett. B

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• Minimal Seesaw Textures with Two Heavy Neutrinos
• Hybrid textures in minimal seesaw mass matrices
• Leptogenesis in a model with Friedberg-Lee symmetry
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• Effects on sinθ_{12} from perturbation of the neutrino mixing matrix with the partially degenerated neutrino masses
• The Mixing Matrix for a 3+2 Model
• CP odd weak basis invariants in minimal see-saw model and Leptogenesis