Minimal predictive see-saw model with normal neutrino mass hierarchy

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.

References added, discussion of charges extended, results unchanged. 46 pages, 8 figures

References in corpus (4)

• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry

Cited by in corpus (14)

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• GUT predictions for quark-lepton Yukawa coupling ratios with messenger masses from non-singlets
• Successful $N_2$ leptogenesis with flavour coupling effects in realistic unified models
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• Mu-tau symmetry and the Littlest Seesaw
• Models of Neutrino Mass, Mixing and CP Violation
• Nucleon decay in a minimal non-SUSY GUT with predicted quark-lepton Yukawa ratios
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• Theory Review of Neutrino Models and CP Violation
• Testing constrained sequential dominance models of neutrinos
• Predictions for the Leptonic Dirac CP-Violating Phase