Abstract

We propose and analyse a new class of Littlest Seesaw models, with two right-handed neutrinos in their diagonal mass basis, based on preserving the first column of the Golden Ratio mixing matrix. We perform an exhaustive analysis of all possible remnant symmetries of the group A5 which can be used to enforce various vacuum alignments for the flavon controlling solar mixing, for two simple cases of the atmospheric flavon vacuum alignment. The solar and atmospheric flavon vacuum alignments are enforced by different remnant symmetries. We examine the phenomenological viability of each of the possible Littlest Seesaw alignments in A5, which preserve the first column of the Golden ratio mixing matrix, using figures and extensive tables of benchmark points and comparing our predictions to a recent global analysis of neutrino data. A benchmark model is constructed based on A5×Z6×Z5×Z5′.

Highlights

  • Massive neutrinos together with neutrino oscillations has been firmly established, and it is unique experimental evidence for physics beyond the standard model

  • The present paper aims to address this question by considering a different mixing scheme within the same approach, namely the golden ratio (GR) mixing pattern [19,20]

  • In the direct approach of flavor symmetry model building, it has been shown that the golden ratio mixing pattern can be naturally reproduced [21] if the flavor group A5 is broken to the Z5T subgroup in the charged lepton sector and to Klein subgroup K4(S,T 3ST 2ST 3) in the neutrino sector

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Summary

Introduction

Massive neutrinos together with neutrino oscillations has been firmly established, and it is unique experimental evidence for physics beyond the standard model. In the original LS model [14,15,16], the lepton mixing matrix is predicted to be of the TM1 form in which the first column of the tri-bimaximal mixing matrix is preserved, but with the reactor angle and CP phases fixed by the same two parameters which fix the neutrino masses This leads to a highly constrained model which is remarkably consistent with current data, but which can be tested in forthcoming neutrino experiments [17]. The second possible golden Littlest seesaw model and the resulting predictions for neutrino masses and lepton mixing angles are given in Appendix B

Direct and indirect approaches in A5 flavor symmetry
Golden Littlest seesaw
A benchmark model for the golden Littlest seesaw
Vacuum alignment
The model
Conclusion
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