Are the small neutrino oscillation parameters all related?

preprint2015arXivOpen access

Abstract

Neutrino oscillations reveal several small parameters, namely, θ13θ_{13}, the solar mass splitting {\em vis-à-vis} the atmospheric one, and the deviation of θ23θ_{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 θ13=0θ_{13} = 0 and zero solar splitting. A Type-I see-saw perturbative contribution results in non-zero values of θ13θ_{13}, Δmsolar2Δm^2_{solar}, θ12θ_{12}, as well as allows θ23θ_{23} to deviate from π/4π/4 in consistency with the data while interrelating them all. CP-violation is a natural consequence and is large (δ∼π/2,3π/2δ\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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