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Nearest-neighbor-interactions from a minimal discrete flavor symmetry withinSU(5)grand unification

2011/02/28 by David Emmanuel-Costa, D. Emmanuel-Costa, C. Simões +1
Physics and Astronomy · #Electron #Fermion #Gauge (firearms) #Grand Unified Theory #Higgs boson #Lepton #Mass matrix #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Seesaw mechanism #Standard Model (mathematical formulation) #Yukawa potential #hep-ph

paper · pdf · doi:10.1103/physrevd.85.016003

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

arxiv created 2011/09/12 · openalex publication_date 2012/01/06 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A flavor symmetry based on Z4 is analyzed in the context of SU(5) Grand Unification with the standard fermionic content plus three right-handed neutrinos. The role of Z4 is to forbid some Yukawa couplings of up- and down-quarks to Higgs scalars such that the quark mass matrices Mu, Md have Nearest-Neighbor-Interaction (NNI) structure, once they are generated through the electroweak symmetry breaking. It turns out in this framework that Z4 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. Because of 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 nonparallel pattern, in the framework of the type-I seesaw mechanism. Analyzing all possible zero textures allowed by gauge-horizontal symmetry SU(5)\ifmmode×\else\texttimes\fiZ4, 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 Z4 freezes out the possibility of proton decay through exchange of color Higgs triplets at tree-level.

Citations