Dark matter in inert doublet model with one scalar singlet and $$U(1)_X$$ U(1)X gauge symmetry

• Published in: The European physical journal. C, Particles and fields Vol. 80; no. 8; pp. 1 - 14
• Main Authors: M. A. Arroyo-Ureña, R. Gaitan, R. Martinez, J. H. Montes de Oca Yemha
• Format: Journal Article
• Language: English
• Published: SpringerOpen 01.08.2020
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-8316-9

Abstract We study dark matter (DM) abundance in the framework of the extension of the Standard Model (SM) with an additional $$U(1)_X$$ U(1)X gauge symmetry. One complex singlet is included to break the $$U(1)_X$$ U(1)X gauge symmetry, meanwhile one of the doublets is considered inert to introduce a DM candidate. The stability of the DM candidate is analyzed with a continuous $$U(1)_X$$ U(1)X gauge symmetry as well as discrete $$Z_2$$ Z2 symmetry. We find allowed regions for the free model parameters which are in agreement with the most up-to-date experimental results reported by CMS and ATLAS Collaborations, the upper limit on WIMP-nucleon cross section imposed by XENON1T Collaboration and the upper limit on the production cross-section of a $$Z^{\prime }$$ Z′ gauge boson times the branching ratio of the $$Z^{\prime }$$ Z′ boson decaying into $$\ell ^-\ell ^+$$ ℓ-ℓ+ . We also obtain allowed regions for the DM candidate mass from the relic density reported by the PLANCK Collaboration including light, intermediate and heavy masses; depending mainly on two parameters of the scalar potential, $$\lambda _{2x}$$ λ2x and $$\lambda _{345}=\lambda _3+\lambda _4+2\lambda _5$$ λ345=λ3+λ4+2λ5 . We find that trough $$pp\rightarrow \chi \chi \gamma $$ pp→χχγ production, it may only be possible for a future hadron–hadron circular collider (FCC-hh) to be able to detect a DM candidate within the range of masses 10–60 GeV.