A4 × SU(5) SUSY GUT of flavour with trimaximal neutrino mixing

A bstract The recent discovery of a sizeable reactor angle θ 13 by Daya Bay and RENO has ruled out exact tri-bimaximal (TB) lepton mixing. Recently two of us studied the vacuum alignment of the Altarelli-Feruglio A 4 family symmetry model including additional flavons in the 1 ′ and 1 ′′ representati...

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Bibliographic Details
Published in:The journal of high energy physics 2012-06, Vol.2012 (6), Article 130
Main Authors: Cooper, Iain K., King, Stephen F., Luhn, Christoph
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Flavor (particle physics)
Grand unified theory
High energy physics
Leptons
Neutrinos
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Sum rules
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Summary:A bstract The recent discovery of a sizeable reactor angle θ 13 by Daya Bay and RENO has ruled out exact tri-bimaximal (TB) lepton mixing. Recently two of us studied the vacuum alignment of the Altarelli-Feruglio A 4 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 (these predictions are based upon the assumption of a Georgi-Jarlskog relation), where s , a , r parameterise the solar, atmospheric and reactor angle deviations from their TB mixing values, δ is the CP violating oscillation phase, and θ C is the Cabibbo angle.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2012)130