Simple two Parameter Description of Lepton Mixing

TL;DR

This paper presents a simple two-parameter model of lepton mixing that aligns well with experimental data, linking the mixing angles and CP phase through minimal assumptions.

Contribution

It introduces a minimal two-parameter description of lepton mixing that reproduces key features from global fits, connecting mixing angles and CP phase.

Findings

Model accurately reproduces observed lepton mixing features.

The scheme implies specific relations between mixing angles and |U_{e3}|.

Statistical analysis confirms excellent agreement with data.

Abstract

We note that a simple two parameter description of lepton mixing is possible which reproduces the features that apparently emerge from global fits at the 1\sigma level: if U_{e3} is non-zero it implies that the solar neutrino mixing parameter \sin^2 \theta_{12} is less than 1/3 by order |U_{e3}|^2. If the CP phase \delta is around \pi it implies that the atmospheric neutrino mixing parameter \sin^2 \theta_{23} is less than 1/2 by order |U_{e3}|. The mixing scheme can be described by a 23-rotation appearing to the right of a tri-bimaximal mixing matrix. We quantify the excellent agreement of the scheme with data statistically, and comment on model building aspects.