Hidden SU(2)D vector dark matter with a scalar septuplet

Abstract

We propose a vector dark matter model from a hidden $\mathrm{SU}(2{)}_{\mathrm{D}}$ gauge symmetry at TeV scale. A scalar septuplet is introduced to break the $\mathrm{SU}(2{)}_{\mathrm{D}}$ symmetry spontaneously. The septuplet also plays the role of a portal between the standard model and the dark sector. We find that there are two different vacuum configurations corresponding to the sign of the quartic coupling ${\ensuremath{\lambda}}_{3}$, which yield different mass spectra for the gauge bosons. For a ${\ensuremath{\lambda}}_{3}<0$, the masses of gauge bosons are splitting, while for a ${\ensuremath{\lambda}}_{3}\ensuremath{\ge}0$, the masses are degenerate. We also study the RG evolutions of the couplings, and find that the perturbativity and vacuum stability can set a stringent bound on the parameter space. For the phenomenological aspect, we consider the experimental constraints including dark matter direct detection, indirect detection, relic density, and Higgs couplings measurements. We find that there are parameter space survivors from all the constraints, and they can be tested in future dark matter direct and indirect detection experiments.