SUSY S4 x SU(5) revisited

TL;DR

This paper revisits a supersymmetric S4 x SU(5) model predicting tri-bimaximal neutrino mixing, showing that adding a singlet flavon can produce a realistic lepton mixing angle consistent with recent experimental results.

Contribution

Introducing a singlet flavon into the S4 x SU(5) model to generate a sizable theta^l_13, aligning the model with recent lepton mixing angle measurements.

Findings

The modified model predicts a sizable theta^l_13 consistent with Daya Bay and RENO.

Original fermion mass and mixing predictions are preserved.

Deviations from tri-bimaximal mixing follow simple sum rule bounds.

Abstract

Following the recent results from Daya Bay and RENO, which measure the lepton mixing angle theta^l_13 ~ 0.15, we revisit a supersymmetric S4 x SU(5) model, which predicts tri-bimaximal (TB) mixing in the neutrino sector with theta^l_13 being too small in its original version. We show that introducing one additional S4 singlet flavon into the model gives rise to a sizable theta^l_13 via an operator which leads to the breaking of one of the two Z2 symmetries preserved in the neutrino sector at leading order. The results of the original model for fermion masses, quark mixing and the solar mixing angle are maintained to good precision. The atmospheric and solar mixing angle deviations from TB mixing are subject to simple sum rule bounds.