Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice

TL;DR

This paper investigates an SO(4) gauge theory with fermions on the lattice, analyzing its phase diagram and meson spectrum, and finds evidence supporting chiral symmetry breaking, with implications for dark matter models.

Contribution

It provides the first lattice study of an SO(4) gauge theory with two Dirac fermions, exploring its phase structure and meson spectrum relevant for composite dark matter.

Findings

Data supports chiral symmetry breaking over conformal behavior.

Measured pseudoscalar, vector, and axial meson masses.

Model offers a natural dark matter candidate.

Abstract

We study the gauge dynamics of an SO(4)-gauge theory with two Dirac Wilson fermions transforming according to the vector representation of the gauge group. We determine the lattice phase diagram by locating the strong coupling bulk phase transition line and the zero PCAC mass line. We present results for the spectrum of the theory. In particular we measure the pseudoscalar, vector and axial meson masses. The data are consistent with a chiral symmetry breaking scenario rather than a conformal one. When used to break the electroweak symmetry dynamically the model leads to a natural dark matter candidate.