Speaker
Antonio Morais
(Lund University and Aveiro University)
Description
We present a new supersymmetric (SUSY) and non-SUSY versions of a Grand Unified Theory based upon the trinification gauge group ($SU(3)_L\otimes SU(3)_R \otimes SU(3)_C$) and global flavour $SU(3)_F$ symmetry. In contrast to previous realizations of trinification models, the proposed SUSY version automatically provides unification of the Yukawa couplings as well as Higgs-lepton unification by placing them in a common $(3, \bar{3}, 1)$ representation. The proposed model contains a significantly reduced set of free parameters when compared, for example, to the Minimal Supersymmetric Standard Model (MSSM) and, in contrast to conventional SUSY models, both supersymmetry and gauge symmetry are simultaneously broken at quantum-level. In this talk we discuss how such gauge and SUSY breakdown to the Standard Model gauge group is accomplished and how low-scale parameters are dynamically generated by studying the one-loop effective potential. For the non-SUSY version, while trinification symmetry is readily broken at tree-level a remnant $SU(2)_L\otimes SU(2)_R \otimes U(1)$ symmetry is broken by quantum effects. Such remarkable features of the proposed model may provide a consistent framework for the mass and mixing hierarchies in the Higgs and fermion sectors, by treating them in the same footing without inclusion of extra free parameters. In this talk, preliminary studies/results are reported and further milestones in development of this promising framework are outlined.
Primary author
Antonio Morais
(Lund University and Aveiro University)
Co-authors
Dr
José Eliel Camargo Molina
(Lund University)
Roman Pasechnik
(Lund University)
