Linear Sigma Dark Matter

Abstract

We present a model of self-interacting dark matter based on QCD-like theories and inspired by the proximity of $a_0(980\pm 20)$ to the $K\bar{K}(990)$ threshold. Dark matter is comprised of dark pions which self-scatter via the $\sigma$ resonance close to the $\pi \pi$ threshold. While the linear sigma model serves as a qualitative guide, a fully unitary description of the scattering in the strongly coupled regime is given by effective range theory. The introduction of a kinetically mixed dark photon allows the dark pion to either freeze-out or -in. We study the viable parameter space which explains the observed relic abundance while evading all current constraints. Searches for dark matter self interactions at different scales, (in)direct detection signals, and (in)visibly-decaying dark photons will test this model in the near future.

arXiv comment30 pages, 13 figures; v2: minor revisions to match published version

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Cited by in corpus (6)

• A Global Analysis of Resonance-enhanced Light Scalar Dark Matter
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
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