Minimal predictive see-saw model with normal neutrino mass hierarchy

TL;DR

This paper introduces a minimal predictive see-saw model with two right-handed neutrinos, establishing specific coupling patterns that align with current neutrino data and connect leptogenesis with CP violation.

Contribution

It derives a master formula linking see-saw parameters to neutrino observables and proposes a simple, predictive coupling pattern consistent with experimental data.

Findings

Identifies a minimal coupling pattern with specific proportionalities and phase linking leptogenesis and CP violation.

Provides a model based on A4 symmetry predicting PMNS parameters with high accuracy.

Connects neutrino mass ratios to mixing angles and CP phase predictions.

Abstract

We consider the type I see-saw model with two right-handed neutrinos and a normal neutrino mass hierarchy and impose a zero coupling between the right-handed neutrino mainly responsible for the atmospheric neutrino mass and the electron neutrino. We derive a master formula which relates see-saw input parameters in a one to one correspondence with physical neutrino observables. Using the master formula we search for simple ratios of couplings consistent with current data on neutrino mass and lepton mixing. We discover a minimal predictive example in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (0,1,1) and the right-handed neutrino mainly responsible for the solar neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (1,1,3) or (1,3,1), with a relative phase eta = -/+ pi/3, providing the link between leptogenesis and CP violation in neutrino oscillation experiments. We show how these patterns of couplings could arise from an A_4 family symmetry model of leptons which predicts all the PMNS parameters in terms of the neutrino mass ratio m_2/m_3, corresponding to approximate Tri-bimaximal-Cabibbo mixing, accurate to one degree, with the prediction delta = +/- pi/2.