Fixed points in the evolution of neutrino mixings

TL;DR

This paper derives the renormalization group equations for neutrino masses and mixings, identifies fixed points in their evolution, and discusses their stability and experimental implications.

Contribution

It provides explicit forms of the RG equations, identifies fixed points for mixing angles, and analyzes their stability across different neutrino mass patterns.

Findings

Fixed points in neutrino mixing angles evolution.

Relation between mixing angles consistent with experimental data.

Stability of certain mass patterns under quantum corrections.

Abstract

We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give $\sin^22\theta_{sol}=\sin^22\theta_{atm}\sin^2\theta_3/ (\sin^2\theta_{atm}\cos^2\theta_3 + \sin^2\theta_3)^2$, consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.