“…Note that the minimal coupling to the SM already includes some production from the decays of scalars, namely pions [84][85][86] and SM Higgs particles [87,88], which is, however, sub-dominant compared to the thermal production from mixing. Higgs decay may give a significant contribution in models with an additional leptophilic (or, more generally, DM-philic) Higgs doublet, which can decay into N at much higher rate [89][90][91]. The N production may happen while the scalar field is in equilibrium (which is usually the case if it is charged) or while it "freezes in", leading to somewhat different phenomenology [53].…”