Renormalization Group Evolution Analysis of the Gauged Froggatt-Nielsen Mechanism in 2-Higgs-doublet Models

Abstract: In this thesis, we consider a 2-Higgs-doublet model with a gauged Froggatt-Nielsen mechanism as an extension of the standard model. We assume that (i) the theory at the electroweak scale is the low energy limit of a theory defined at a scale $\Lambda_{FN}$ (ii) the Yukawa couplings at $\Lambda_{FN}$ are generated by the Froggatt-Nielsen mechanism. The first assumption is enforced by requiring that models be well behaved under Renormalization Group evolution up to $\Lambda_{FN}$ in two scenarios: $\Lambda_{FN} = 10^5$ GeV and $\Lambda_{FN}= 10^{16}$ GeV. We then proceed to find flavon charge assignments that reproduce the correct order of magnitude for fermion masses and quark mixing. The flavon charges are further constrained by anomaly cancellation conditions. Lastly, having identified the parameter space of models consistent with our assumptions and experimental constraints, we evolve these regions up to $\Lambda_{FN}$ using the RG equations and discuss possible physics at that scale.