PandaX-4T limits on Z′ mass in 3-3-1LHN model

Abstract

The framework of the so-called 3-3-1LHN model accommodates two different, but viable, scenarios of dark matter. In one case, the dark matter particle is a heavy Dirac neutrino ${N}_{1}$. In the other case, we have a scalar, $\ensuremath{\phi}$, as a dark matter candidate. In both cases, the dark matter phenomenology, relic abundance, and scattering cross section off of nuclei are controlled by exchange of ${Z}^{\ensuremath{'}}$. We then investigate the impact on the parameter space $({M}_{{Z}^{\ensuremath{'}}},{M}_{({N}_{1},\ensuremath{\phi})})$ due to the recent PandaX-4T experimental result in both scenarios. We obtain that the PandaX-4T experiment excludes scenarios with dark matter mass below 1.9 TeV. Concerning ${Z}^{\ensuremath{'}}$, we find the lower bound ${M}_{{Z}^{\ensuremath{'}}}>4.1\text{ }\text{ }\mathrm{TeV}$ for the case where ${N}_{1}$ is the dark matter and ${M}_{{Z}^{\ensuremath{'}}}>5.7\text{ }\text{ }\mathrm{TeV}$ for the other case. This implies that the 3-3-1 symmetry is spontaneously broken above 10 TeV scale. We also comment on the contributions to the relic abundance of processes involving flavor-changing neutral current mediated by ${Z}^{\ensuremath{'}}$.