Mono-Higgs and Mono-$Z$ Production in the Minimal Vector Dark Matter Model

The Minimal Vector Dark Matter is a viable realization of the minimal dark matter paradigm. It extends the Standard Model by the inclusion of a vector matter field in the adjoint representation of $SU (2)_L$. The dark matter candidate corresponds to the neutral component of the new vector field ($V^0$). Previous studies have shown that the model can explain the observed dark matter abundance while evading direct and indirect searches. At colliders, the attention has been put on the production of the charged companions of the dark matter candidate. In this work, we focus on the mono-Higgs and mono-$Z$ signals at hadron colliders. The new charged vectors ($V^{\pm}$) are invisible unless a dedicated search is performed. Consequently, we assume that the mono-Higgs and mono-$Z$ processes correspond the $pp\rightarrow h V^{+,0} V^{-,0}$ and $pp\rightarrow Z V^{+,0} V^{-,0}$ reactions, respectively. We show that, while the $p p \rightarrow h V^{+,0} V^{-,0}$ is more important, both channels may produce significant signals at the HL-LHC and colliders running at $\sqrt{s} = 27$ TeV and $100$ TeV, probing almost the complete parameter space.