Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors

TL;DR

This study uses lattice simulations to analyze SU(2) gauge theory with two flavors, confirming chiral symmetry breaking and identifying a Goldstone boson as a dark matter candidate, with a spectrum separated from other states.

Contribution

First lattice confirmation of chiral symmetry breaking in SU(2) with two flavors, supporting its role in dark matter models and detailing the spectrum of relevant particles.

Findings

Goldstone boson suitable as dark matter candidate

Clear separation of Goldstone and other spectra

Confirmation of chiral symmetry breaking pattern

Abstract

The SU(2) gauge theory with two massless Dirac flavors constitutes the building block of several models of Technicolor. Furthermore it has also been used as a template for the construction of a natural light asymmetric, or mixed type, dark matter candidate. We use explicit lattice simulations to confirm the pattern of chiral symmetry breaking by determining the Goldstone spectrum and therefore show that the dark matter candidate can, de facto, be constituted by a complex Goldstone boson. We also determine the phenomenologically relevant spin-one and spin-zero isovector spectrum and demonstrate that it is well separated from the Goldstone spectrum.