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Thermally Generated Gauge Singlet Scalars as Self-Interacting Dark Matter

John McDonald
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Abstract

We show that a gauge singlet scalar S, with a coupling to the Higgs doublet of the form lambda_{S} S^{\dagger}S H^{\dagger}H and with the S mass entirely generated by the Higgs expectation value, has a thermally generated relic density Omega_{S} \approx 0.3 if m_{S} \approx (2.9-10.5)(Omega_{S}/0.3)^{1/5}(h/0.7)^{2/5} MeV for Higgs boson masses in the range 115 GeV to 1 TeV. Remarkably, this is very similar to the range (m_{S} = (6.6-15.4)η^{2/3} MeV) required in order for the self-interaction (η/4)(S^{\dagger}S)^{2} to account for self-interacting dark matter when ηis not much smaller than 1. The corresponding coupling is lambda_{S} \approx (2.7 \times 10^{-10} - 3.6 \times 10^{-9})(Omega_{S}/0.3)^{2/5}(h/0.7)^{4/5}, implying that such scalars are very weakly coupled to the Standard Model sector.

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John McDonald. 2002-01-20. Thermally Generated Gauge Singlet Scalars as Self-Interacting Dark Matter. https://doi.org/10.1103/physrevlett.88.091304

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