Nearest-Neighbour-Interactions from a minimal discrete flavour symmetry within SU(5) Grand Unification

Abstract

A flavour symmetry based on Z_4 is analysed in the context of SU(5) Grand Unification with the standard fermionic content plus three right-handed neutrinos. The role of Z_4 is to forbid some Yukawa couplings of up- and down-quarks to Higgs scalars such that the quark mass matrices M_u, M_d have Nearest-Neighbour-Interaction (NNI) structure, once they are generated through the electroweak symmetry breaking. It turns out in this framework that Z_4 is indeed the minimal discrete symmetry and its implementation requires the introduction of at least two Higgs quintets, which leads to a two Higgs doublet model at low energy scale. Due to the SU(5) unification, it is shown that the charged lepton mass matrix develops also NNI form. However, the effective neutrino mass matrix exhibits a non parallel pattern, in the framework of the type-I seesaw mechanism. Analysing all possible zero textures allowed by gauge-horizontal symmetry SU(5) x Z_4, it is seen that only two patterns are in agreement with the leptonic experimental data and they could be further distinguished by the light neutrino mass spectrum hierarchy. It is also demonstrated that Z_4 freezes out the possibility of proton decay through exchange of colour Higgs triplets at tree-level.

14 pages, 5 figures, 4 tables, two columns; revised version

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Cited by in corpus (7)

• Confronting predictive texture zeros in lepton mass matrices with current data
• Yukawa sector of Multi Higgs Doublet Models in the presence of Abelian symmetries
• An $S_3$ Model for Lepton Mass Matrices with Nearly Minimal Texture
• Super Flavorsymmetry with Multiple Higgs Doublets
• The minimal adjoint-SU(5)xZ_4 GUT model
• Quark Flavor Mixings from Hierarchical Mass Matrices
• Scalar-induced Neutrinoless Double Beta Decay in $SU(5)$