Non-relativistic susceptibility and a dark matter application

Biondini, Simone; Kim, Se Yong; Laine, Mikko Sakari (2019). Non-relativistic susceptibility and a dark matter application. Journal of cosmology and astroparticle physics, 2019(10), 078-078. Institute of Physics Publishing IOP 10.1088/1475-7516/2019/10/078

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When thermal rate equations are derived for the evolution of slow variables, it is often practical to parametrize the right-hand side with chemical potentials. To close the system, the chemical potentials are subsequently re-expressed in terms of the slow variables, which involves the consideration of a “susceptibility”. Here we study a non-relativistic situ- ation in which chemical potentials are large compared with the temperature, as is relevant for late-time pair annihilations in dark matter freeze-out. An order-of-magnitude estimate and a lattice simulation are presented for a susceptibility dominated by bound states of stop- like mediators. After this “calibration”, the formalism is applied to a model with Majorana singlet dark matter, confirming that masses up to the multi-TeV domain are viable in the presence of sufficient (though not beyond a limit) mass degeneracy in the dark sector.

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