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arXiv · 1411.0320

Are the small neutrino oscillation parameters all related?

Soumita Pramanick·Amitava Raychaudhuri
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Abstract

Neutrino oscillations reveal several small parameters, namely, $θ_{13}$, the solar mass splitting {\em vis-à-vis} the atmospheric one, and the deviation of $θ_{23}$ from maximal mixing. Can these small quantities all be traced to a single source and, if so, how could that be tested? Here a see-saw model for neutrino masses is presented wherein a dominant term generates the atmospheric mass splitting with maximal mixing in this sector, keeping $θ_{13} = 0$ and zero solar splitting. A Type-I see-saw perturbative contribution results in non-zero values of $θ_{13}$, $Δm^2_{solar}$, $θ_{12}$, as well as allows $θ_{23}$ to deviate from $π/4$ in consistency with the data while interrelating them all. CP-violation is a natural consequence and is large ($δ\sim π/2, 3π/2$) for inverted mass ordering. The model will be tested as precision on the neutrino parameters is sharpened.

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Soumita Pramanick, Amitava Raychaudhuri. 2015-05-26. Are the small neutrino oscillation parameters all related?. https://doi.org/10.1016/j.physletb.2015.05.007

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