Getting at large theta_13 with almost maximal theta_23 from tri-bimaximal mixing

TL;DR

This paper explores how small corrections to tri-bimaximal neutrino mixing can produce a large  and nearly maximal , aligning with recent experimental results, by analyzing the effects of neutrino mass degeneracy and specific correction conditions.

Contribution

It demonstrates that small perturbations to the tri-bimaximal mixing pattern can simultaneously achieve a large  and near-maximal , providing a theoretical framework consistent with recent data.

Findings

             

Enhanced         

Abstract

We introduce a small correction term, \delta M_\nu, in the neutrino sector and examine whether a large \theta_13 and an almost maximal \theta_23 can simultaneously be obtained starting from the tri-bimaximal neutrino mixing. It is found that one can easily gain \theta_13 \simeq 10^\circ, which is favored by the recent T2K experiment, by taking account of the enhancement due to the degeneracy among three neutrino masses. We also find that (\delta M_\nu)_22=(\delta M_\nu)_33 is a key condition for \theta_23 \simeq 45^\circ.