A Highly Predictive Ansatz for Leptonic Mixing and CP Violation

Abstract

We suggest a simple highly predictive ansatz for charged lepton and light neutrino mass matrices, based on the assumption of universality of Yukawa couplings. Using as input the charged lepton masses and light neutrino masses, the six parameters characterizing the leptonic mixing matrix $V_{PMNS}$, are predicted in terms of a single phase $ϕ$, which takes a value around $ϕ={\fracπ{2}}$. Correlations among variuos physical quantities are obtained, in particular $V^{PMNS}_{13}$ is predicted as a function of $Δm^2_{21}$, $Δm^2_{31}$ and $\sin^2(θ_{sol})$, and restricted to the range $0.167<|V^{PMNS}_{13}|<0.179$.

9 pages, 4 figures