Testable Deviation from Exact Tribimaximal Mixing

TL;DR

This paper proposes a relation between quark and lepton mixing matrices, predicting specific neutrino oscillation parameters that can be tested with upcoming experiments.

Contribution

It introduces a simple relation linking quark and lepton mixing matrices, providing testable predictions for neutrino oscillation parameters.

Findings

Estimated neutrino mixing angles based on CKM parameters

Predicted _{13} range: 0.024-0.028

Predicted _{23} and _{12} values for future testing

Abstract

A simple relation U_{MNS}=V_{CKM}^\dagger U_{TB} between the lepton and quark mixing matrices (U_{MNS} and V_{CKM}) is speculated under an ansatz that U_{MNS} becomes an exact tribimaximal mixing U_{TB} in a limit V_{CKM}={\bf 1}. By using the observed CKM mixing parameters, possible values of neutrino oscillation parameters are estimated: \sin^2 \theta_{13}=0.024-0.028, \sin^2 2\theta_{23}=0.94-0.95 and \tan^2 \theta_{12}=0.24-1.00 depending on phase conventions of U_{TB}. Those values are testable soon by precision measurements in neutrino oscillation experiments.