Scaling ansatz, four zero Yukawa textures and large $\theta_{13}$

TL;DR

This paper explores how specific constraints on neutrino mass matrices within the type I seesaw model can accommodate large mixing angles and CP violation, with implications for baryogenesis.

Contribution

It identifies six viable four-zero Yukawa textures compatible with current data and demonstrates a stable way to generate large $ heta_{13}$ through controlled symmetry breaking.

Findings

Six viable four-zero Yukawa textures identified

Large $ heta_{13}$ achieved via symmetry breaking

Radiative stability of the breaking scheme confirmed

Abstract

We investigate 'Scaling ansatz' in the neutrino sector within the framework of type I seesaw mechanism with diagonal charged lepton and right handed Majorana neutrino mass matrices ($M_R$). We also assume four zero texture of Dirac neutrino mass matrices ($m_D$) which severely constrain the phenomenological outcomes of such scheme. Scaling ansatz and the present neutrino data allow only Six such matrices out of 126 four zero Yukawa matrices. In this scheme, in order to generate large $\theta_{13}$ we break scaling ansatz in $m_D$ through a perturbation parameter and we also show our breaking scheme is radiatively stable. We further investigate CP violation and baryogenesis via leptogenesis in those surviving textures.