Fermion mass splitting in the technicolor coupled scenario

TL;DR

This paper explores how coupling QCD and technicolor theories affects fermion mass generation, leading to higher pseudo-Goldstone boson masses and specific fermion mass splittings influenced by symmetries and GUT interactions.

Contribution

It introduces a coupled Schwinger-Dyson equation framework for unified models, analyzing fermion mass splitting mechanisms and their phenomenological implications.

Findings

Pseudo-Goldstone boson masses are significantly higher.

Fermion mass splittings depend on horizontal symmetry and GUT interactions.

Coupled theories modify self-energies compared to isolated cases.

Abstract

We discuss fermion mass generation in unified models where QCD and technicolor (or any two strongly interacting theories) have their Schwinger-Dyson equations coupled. In this case the technicolor (TC) and QCD self-energies are modified in comparison with the behavior observed in the isolated theories. In these models the pseudo-Goldstone boson masses are much higher than the ones obtained in different contexts, and phenomenological signals, except from a light scalar composite boson, will be quite difficult to be observed at present collider energies. The most noticeable fact of these models is how the mass splitting between the different ordinary fermions is generated. We discuss how a necessary horizontal (or family) symmetry can be implemented in order to generate the mass splitting between fermions of different generations; how the fermionic mass spectrum may be modified due to GUT interactions, as well as how the mass splitting within the same fermionic generation are generated due to electroweak and GUT interactions.