Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large theta_13

TL;DR

This paper explores how explicit perturbations and radiative corrections can adjust the tetra-maximal neutrino mixing pattern to align with experimental data, especially improving the prediction for theta_12.

Contribution

It introduces a method to naturally enhance theta_12 via explicit perturbations and examines radiative corrections from high-energy flavor symmetries to match observed neutrino mixing angles.

Findings

Perturbations can increase theta_12 to 34° from 30.4°.

Radiative corrections at high energy scales can reconcile mixing angles with data.

Predictions for theta_13 and theta_23 remain stable under corrections.

Abstract

The tetra-maximal neutrino mixing pattern predicts a relatively large reactor mixing angle theta_13 \approx 8.4^\circ, which is in good agreement with the latest best-fit value theta_13 = 9^\circ. However, its prediction for theta_12 \approx 30.4^\circ is inconsistent with current oscillation data at the 3sigma C.L. We show that explicit perturbations to the tetra-maximal mixing can naturally enhance theta_12 to its best-fit value theta_12 = 34^\circ. Furthermore, we demonstrate that if the tetra-maximal mixing is produced by a certain flavor symmetry at a high-energy scale Lambda = 10^14 GeV, significant radiative corrections in the minimal supersymmetric standard model can modify theta_12 to be compatible with experimental data at the electroweak scale Lambda_EW = 10^2 GeV. The predictions for theta_13 \approx 8.4^\circ and theta_23 = 45^\circ, as well as the CP-violating phases rho = sigma = -delta = 90^\ciic, are rather stable against radiative corrections.