A Grand Unified model with Q₆ 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 (θℓ^th₂₃ 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, θℓ^th₁₃ 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.