SO(10) Grand Unification with Minimal Dark Matter and Color Octet
  Scalars
  The minimal dark matter (MDM) scenario is a very simple framework of physics
beyond the Standard Model (SM) to supplement the SM with a DM candidate. In
this paper, we consider an ultraviolet completion of the scenario to an SO(10)
grand unified theory, which is a well-motivated framework in light of the
neutrino oscillation data. Considering various phenomenological constraints,
such as the successful SM gauge coupling unification, the proton stability, and
the direct/indirect DM detection constraints as well as the absolute
electroweak vacuum stability, we have first singled out the minimal particle
content of the MDM scenario at low energies. In addition to the SM particle
content, our MDM scenario includes an SU(2)$_L$ quintet scalar DM with a 9.4
TeV mass and three degenerate color-octet scalars with mass of 2 TeV. We then
have found a way to embed the minimal particle content into SO(10)
representations, in which a remnant $Z_2$ symmetry after the SO(10) symmetry
breaking ensures the stability of the DM particle. The production cross section
of the color-octet scalars at the Large Hadron Collider is found to be a few
orders of magnitude below the current experimental bound.
