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The minimal adjoint-SU(5) × Z 4 GUT model

  • D. Emmanuel-CostaEmail author
  • C. Simões
  • M. Tórtola
Article

Abstract

An extension of the adjoint SU(5) model with a flavour symmetry based on the Z4 group is investigated. The Z4 symmetry is introduced with the aim of leading the up- and down-quark mass matrices to the Nearest-Neighbour-Interaction form. As a consequence of the discrete symmetry embedded in the SU(5) gauge group, the charged lepton mass matrix also gets the same form. Within this model, light neutrinos get their masses through type-I, type-III and one-loop radiative seesaw mechanisms, implemented, respectively, via a singlet, a triplet and an octet from the adjoint fermionic 24 fields. It is demonstrated that the neutrino phenomenology forces the introduction of at least three 24 fermionic multiplets. The symmetry SU(5) × Z4 allows only two viable zero textures for the effective neutrino mass matrix. It is showed that one texture is only compatible with normal hierarchy and the other with inverted hierarchy in the light neutrino mass spectrum. Finally, it is also demonstrated that Z4 freezes out the possibility of proton decay through exchange of coloured Higgs triplets at tree-level.

Keywords

Neutrino Physics GUT Discrete and Finite Symmetries 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Departamento de Física and Centro de Física Teórica de Partículas (CFTP)Instituto Superior Técnico (IST), Universidade de LisboaLisboaPortugal
  2. 2.AHEP Group, Instituto de Física Corpuscular - C.S.I.C./Universitat de València, Edificio Institutos de PaternaValenciaSpain

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