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• W1580492667 abstract "We propose a renormalisable model based on $A_4$ family symmetry with an $SU(5)$ grand unified theory (GUT) which leads to the minimal supersymmetric standard model (MSSM) with a two right-handed neutrino seesaw mechanism. Discrete $mathbb{Z}_9times mathbb{Z}_6$ symmetry provides the fermion mass hierarchy in both the quark and lepton sectors, while $mathbb{Z}_4^R$ symmetry is broken to $mathbb{Z}_2^R$, identified as usual R-parity. Proton decay is highly suppressed by these symmetries. We discuss both the $A_4$ and $SU(5)$ symmetry breaking sectors, including doublet-triplet splitting, Higgs mixing and the origin of the $mu$ term. The model provides an excellent fit (better than one sigma) to all quark and lepton (including neutrino) masses and mixing with spontaneous CP violation. With the $A_4$ vacuum alignments, $(0,1,1)$ and $(1,3,1)$, the model predicts the entire PMNS mixing matrix with no free parameters, up to a relative phase, selected to be $2pi/3$ from a choice of the nine complex roots of unity, providing a direct link between neutrino oscillations and leptogenesis." @default.
• W1580492667 created "2016-06-24" @default.
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• W1580492667 date "2015-06-01" @default.
• W1580492667 modified "2023-10-06" @default.
• W1580492667 title "Towards a complete A4 × SU(5) SUSY GUT" @default.
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• W1580492667 doi "https://doi.org/10.1007/jhep06(2015)141" @default.
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