Rapid bound-state formation of Dark Matter in the Early Universe

TL;DR

This paper revisits dark matter relic density calculations, showing that virtual mediator exchange can significantly enhance bound-state formation, especially for TeV-scale dark matter, impacting early universe models.

Contribution

It introduces a new dominant mechanism for bound-state formation via virtual mediator exchange, surpassing traditional on-shell emission processes.

Findings

Virtual mediator exchange can dominate bound-state formation.

Cross section for scattering-induced bound states exceeds on-shell emission.

Implications for dark matter mass and relic density calculations.

Abstract

The thermal decoupling description of dark matter (DM) and co-annihilating partners is reconsidered. If DM is realized at around the TeV-mass region or above, even the heaviest electroweak force carriers could act as long-range forces, leading to the existence of meta-stable DM bound states. The formation and subsequent decay of the latter further deplete the relic density during the freeze-out process on top of the Sommerfeld enhancement, allowing for larger DM masses. While so far the bound-state formation was described via the emission of an on-shell mediator ($W^{\pm}$, $Z$, $H$, $g$, photon or exotic), we point out that this particular process does not have to be the dominant scattering-bound state conversion channel in general. If the mediator is coupled in a direct way to any relativistic species present in the Early Universe, the bound-state formation can efficiently occur through particle scattering, where a mediator is exchanged virtually. To demonstrate that such a virtually stimulated conversion process can dominate the on-shell emission even for all temperatures, we analyze a simplified model where DM is coupled to only one relativistic species in the primordial plasma through an electroweak-scale mediator. We find that the bound-state formation cross section via particle scattering can exceed the on-shell emission by up to several orders of magnitude.