Phenomenological exploration of flavored Grand Unification through high-scale matching and renormalization group flow

Sammanfattning: The phenomenological success of the Standard Model (SM), and its unification of the electromagnetic and weak forces has inspired the search for a Grand Unified Theory (GUT), that dynamically reduces to the SM at low energies. In this work, we consider one such GUT, based on the trinification model [SU(3)]³ with an additional local SU(2) family symmetry, that is then broken directly to the gauge symmetry group of the SM. We show that this model permits a great number of different effective field theories (EFTs), and we investigate the case for a three-Higgs-doublet model (3HDM) EFT that also contains a pair of leptoquarks (LQs). Through a simple scan over the parameter space, we find that there exists a few valid parameter space points where the electroweak symmetry is broken radiatively, induced by the running of the model's parameters. After further investigation of these points, we find that the considered EFT can produce the correct quark mass hierarchy and Cabibbo angle. However, at tree-level, the EFT was unable to produce a quark mass spectrum or a CKM matrix in the vicinity to their currently accepted values. We conclude that future studies will require a more advanced scanning algorithm in order to find more valid parameter space points, before making further conclusions regarding the validity of the EFT in consideration.