Extreme walking behavior and SDE boundary conditions in a 331-TC model

TL;DR

This paper investigates how boundary conditions in Schwinger-Dyson equations influence the self-energy behavior in 331-TC models, showing that radiative corrections from new gauge bosons can produce a hard technifermion self-energy.

Contribution

It demonstrates the possibility of achieving a hard technifermion self-energy in 331-TC models through radiative corrections from new gauge bosons, linked to boundary conditions in SDEs.

Findings

Boundary conditions affect the ultraviolet behavior of self-energies.

Radiative corrections from Z' and U^{ ext{++}} gauge bosons can induce hard self-energies.

The work connects boundary conditions with phenomenological features of TC models.

Abstract

The solution of the phenomenological problems of technicolor (TC) models may reside in the different dynamical behavior of the technifermions self-energy appearing in walking (or quasi-conformal) theories. Motivated by recent results where it is shown how the boundary conditions (bc) of the anharmonic oscillator representation of the Schwinger-Dyson gap equation (SDE) to $SU(N)$ are directly related with the mass anomalous dimensions, and different bc cause a change in the ultraviolet asymptotic behavior of the self-energies, in this work we verify that it is possible to have a hard technifermion self-energy in TC models originated through radiative corrections coming from the interactions mediated by the new massive neutral and charged gauge bosons, $Z'$ and $U^{\pm\pm}$ in the context of a 331-TC model.