Nearest Neighbour interactions and symmetries

We study the minimal possible deviations from the Hermitic Nearest-Neighbour Interations (NNI) texture in the quark sector such that it is possible to accommodate the actual experimental data. We also show that the NNI structure can be obtained through the implementation of an Abelian discrete flavour symmetry at the Lagrangian level, where the minimal realisation is Z(4), requiring at least the presence of two Higgs doublets. Finally, we explore the consequences on the leptonic sector of this Z(4) flavour symmetry, in the context of SU(5) Grand Unification with the standard fermionic content plus three right-handed neutrinos and two Higgs quintets.

symmetry: flavor
symmetry: abelian
symmetry: discrete
neutrino: right-handed
Higgs particle: doublet: 2
Z(4)
texture
quark: interaction
grand unified theory: SU(5)

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