A Grand Unified model with Q<inf>6</inf> as the flavour symmetry

We present a non-minimal renormalizable SUSY SU(5) model where the flavour sector exhibits a Q6 flavour symmetry, and R-parity is conserved. We find that the CKM matrix has an NNI and a Fritzsch texture for the down and up sectors respectively, both of which are known to be compatible with the experimental CKM values. At the same time, in the leptonic side, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. As main results, the atmospheric (θℓth23 46.18+0.66-0.65) and solar (θℓ th12 36.62 ± 4.06.) mixing angles are found to be consistent with the experimental data. However, the reactor mixing angle value, θℓth13 3.38+0.03-0.02, is small and not in good agreement with the global experimental fits, but it is consistent with the MINOS experiment and fairly large in comparison to the tribimaximal scenario. © Published under licence by IOP Publishing Ltd.