# Limits to gauge coupling in the dark sector of super-heavy dark matter particles from the Pierre Auger Observatory data

### Submission summary

 As Contributors: Olivier Deligny Preprint link: scipost_202209_00056v1 Date submitted: 2022-09-27 12:48 Submitted by: Deligny, Olivier Submitted to: SciPost Physics Proceedings Proceedings issue: 21st International Symposium on Very High Energy Cosmic Ray Interactions (ISVHECRI 2022) Academic field: Physics Specialties: Gravitation, Cosmology and Astroparticle Physics Approach: Experimental

### Abstract

Assuming that the energy density of super-heavy particles matches that of dark matter observed today, tight constraints on the couplings governing the decay process are presented as a function of the particle mass. These constraints are obtained from the lack of signatures that would be suggestive of decaying super-heavy $X$ particles in the data of the Pierre Auger Observatory. In particular, instanton-induced decay processes allow us to derive a bound on the reduced coupling constant of gauge interactions in the dark sector: \boldmath $\alpha_X \lesssim 0.09$,\unboldmath\, for \boldmath $10^{9} \lesssim M_X/\mathrm{GeV} < 10^{19}$\unbolmath . Cosmological aspects for super-heavy dark matter production during the reheating epoch are discussed.

###### Current status:
Editor-in-charge assigned