A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing

Abstract

Recent T2K, MINOS and Double CHOOZ results, together with global fits of mixing parameters, indicate a sizeable reactor angle theta13 ~ 8 deg which, if confirmed, would rule out tri-bimaximal (TB) lepton mixing. Recently two of us studied the vacuum alignment of the Altarelli-Feruglio A4 family symmetry model including additional flavons in the 1' and 1" representations, leading to so-called "trimaximal" neutrino mixing and allowing a potentially large reactor angle. Here we show how such a model may arise from a Supersymmetric (SUSY) Grand Unified Theory (GUT) based on SU(5), leading to sum rule bounds |s| < thetaC/3, |a| < (r + thetaC/3)|cos delta|/2, where s,a,r parameterise the solar, atmospheric and reactor angle deviations from their TB mixing values, delta is the CP violating oscillation phase, and thetaC is the Cabibbo angle.

19 pages, 4 tables

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• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Measurable Neutrino Mass Scale in A4 x SU(5)
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• Overview of Neutrino Mixing Models and Ways to Differentiate among Them
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance

Cited by in corpus (18)

• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• An SU(5) x A5 Golden Ratio Flavour Model
• Lepton flavor at the electroweak scale: A complete A4 model
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Large lepton mixing angles from a 4+1-dimensional SU(5) x A(4) domain-wall braneworld model
• Flavon-induced connections between lepton flavour mixing and charged lepton flavour violation processes
• Slepton Non-Universality in the Flavor-Effective MSSM
• Nonholomorphic $A_4$ modular invariance for fermion masses and mixing in SU(5) GUT
• Heptagonic Symmetry for Quarks and Leptons
• New mixing schemes for (3+1) neutrinos
• Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix
• Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment
• Spontaneously stabilised dark matter from a fermiophobic $U(1{)}^{\prime }$ gauge symmetry
• Phenomenology of Trimaximal mixing with one texture equality
• Leptogenesis, Fermion Masses and Mixings in a SUSY $SU(5)$ GUT with $D_4$ Flavor Symmetry
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections