Dynamical Symmetry Breaking in a Minimal 3-3-1 Model

TL;DR

This paper explores a minimal dynamical symmetry breaking mechanism in a 3-3-1 gauge model with technicolor, proposing a new anomaly cancellation scheme and analyzing the relationship between technigluon and Z' boson masses.

Contribution

It introduces a novel scheme for anomaly cancellation using two-index symmetric technifermions in a minimal 3-3-1 model with dynamical symmetry breaking.

Findings

Technigluon mass is linked to the Z' mass scale.

The model achieves anomaly cancellation with walking technicolor behavior.

Dynamical symmetry breaking is driven by technifermion multiplets.

Abstract

The gauge symmetry breaking in some versions of 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the $U(1)_X$ coupling constant becomes strong. In this work we consider the dynamical symmetry breaking in a minimal $SU(3)_{{}_{TC}}\times SU(3)_{{}_{L}}\times U(1)_{X}$ model, where we propose a new scheme to cancel the chiral anomalies, including two-index symmetric (6) technifermions, which incorporates naturally the walking behavior in the TC sector. The composite scalar content of the model is minimal and all the symmetry breaking is implemented by a multiplet of technifermions. The choice of TC representations not only provide the anomaly cancellation with a walking behavior, but is crucial to promote the model's full dynamical symmetry breaking. We consider the dynamical generation of technigluon masses and, depending on the 3-3-1 symmetry breaking scale ($\mu_{331}$), we verify that the technigluon mass is strongly linked to the $Z'$ mass scale, for instance, if $\mu_{331}= 1TeV$, we have $M_{{}_{Z'}} > 1$ TeV only if $M_{{}_{TG}} < 350GeV$.