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

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Abstract

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 \( \left| s \right| \leqslant \frac{{{\theta_C}}}{3},\left| a \right| \leqslant \frac{1}{2}\left( {r + \frac{{{\theta_C}}}{3}} \right)\left| {\cos \;\delta } \right| \) (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.

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Authors and Affiliations

  1. School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.

    Iain K. Cooper & Stephen F. King

  2. Institute for Particle Physics Phenomenology, University of Durham, Durham, DH1 3LE, U.K.

    Christoph Luhn

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  1. Iain K. Cooper
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  2. Stephen F. King
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  3. Christoph Luhn
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Correspondence to Iain K. Cooper.

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ArXiv ePrint: 1203.1324

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Cooper, I.K., King, S.F. & Luhn, C. A4 × SU(5) SUSY GUT of flavour with trimaximal neutrino mixing. J. High Energ. Phys. 2012, 130 (2012). https://doi.org/10.1007/JHEP06(2012)130

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  • DOI: https://doi.org/10.1007/JHEP06(2012)130

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