Perturbative Estimates of Lepton Mixing Angles in Unified Models

Abstract

Many unified models predict two large neutrino mixing angles, with the charged lepton mixing angles being small and quark-like, and the neutrino masses being hierarchical. Assuming this, we present simple approximate analytic formulae giving the lepton mixing angles in terms of the underlying high energy neutrino mixing angles together with small perturbations due to both charged lepton corrections and renormalisation group (RG) effects, including also the effects of third family canonical normalization (CN). We apply the perturbative formulae to the ubiquitous case of tri-bimaximal neutrino mixing at the unification scale, in order to predict the theoretical corrections to mixing angle predictions and sum rule relations, and give a general discussion of all limiting cases.

21 pages; v2: minor corrections

References in corpus (15)

• Three-flavour neutrino oscillation update
• Hints of theta_13>0 from global neutrino data analysis
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Symmetry of Lepton Mixing
• Unification and Fermion Mass Structure
• Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Quark and lepton masses at the GUT scale including SUSY threshold corrections
• 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
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Invariant see-saw models and sequential dominance
• Deviations from tri-bimaximal mixing

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