Prospects on searches for baryonic Dark Matter produced in $b$-hadron decays at LHCb

Abstract

A model that can simultaneously explain Dark Matter relic density and the apparent matter anti-matter imbalance of the universe has been recently proposed. The model requires $b$-hadron branching fractions to Dark Matter at the per mille level. The $b$-hadrons decay to a dark sector baryon, ${\psi }_{\mathrm{DS}}$, which has a mass in the region $940$ MeV/c${}^2\le m({\psi }_{\mathrm{DS}})\le 4430$ MeV/c${}^2$. In this paper, we discuss the sensitivity of the LHCb experiment to search for this dark baryon, covering different types of topology and giving prospects for Runs 3 and 4 of the LHC, as well as for the proposed Phase-II Upgrade. We show that the LHCb experiment can cover the entire mass range of the hypothetical dark baryon.

8 pages, 7 figures, 2 tables

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