Semi-Empirical Flavor Mixing Phenomenology and T2K Theta_13 Data

TL;DR

This paper proposes a semi-empirical model linking neutrino and quark mixing angles through simple equations, aligning with recent T2K data and explaining observed mixing regularities.

Contribution

It introduces a novel symmetric equation connecting neutrino and quark mixing angles, providing explicit small deviations from benchmark mixing matrices.

Findings

Agreement with T2K neutrino oscillation data

Explicit expressions for all six mixing angles as small deviations

Unified explanation for large neutrino and small quark mixing angles

Abstract

Stimulated by recent T2K indications on a surprisingly large neutrino mixing theta_13 angle we suggest that this last unknown angle is not independent but determined by the known large solar and atmospheric neutrino oscillation angles via simple, symmetric, positive-definite equation. Encouragingly, it appears in agreement with recent new long base-line appearance nu-mu to nu-e neutrino oscillation T2K data. At zero approximation this equation determines benchmark bimaximal neutrino mixing matrix as its unique solution with one texture zero. Extension to quark mixing angles leads to definite equation with unit mixing matrix as sole solution. All six realistic neutrino and quark mixing angles are explicitly expressed as small deviations from the zero approximation benchmark ones by one small empirical universal parameter. Thus in the considered semi-empirical flavor phenomenology the system of two related neutrino and quark equations is the source of the known main empirical rule of 'large neutrino mixing angles versus small quark ones' as well as other particle mixing regularities.