Abstract
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.
Highlights
The Large Hadron Collider (LHC) aims to understand the origin of electroweak symmetry breaking and to search for physics beyond the Standard Model (SM) at the TeV scale
The Minimal dark matter (MDM) scenario is a very simple framework which supplements the SM with a dark matter candidate as a fermion or scalar SUð2ÞL multiplet
Since the stability of the MDM particle is not ensured by the SM gauge symmetries, one may think that this scenario is an effective low energy theory of a more fundamental theory which takes place at high energies
Summary
The Large Hadron Collider (LHC) aims to understand the origin of electroweak symmetry breaking and to search for physics beyond the Standard Model (SM) at the TeV scale. As the MDM scenario is proposed as a low-energy effective theory, the stability of the MDM particle is not ensured and some symmetry is introduced by hand for the DM stability. CHO, HAYAMI, and OKADA the gauge coupling unification (below the Planck scale) and the constraint on the proton lifetime, we determine the representation of MDM and colored new particles. We discuss how the selected MDM and colored multiplets can be embedded into some SO(10) multiplets to ensure the stability of the MDM particle by a remnant symmetry of SO(10) breaking [8].
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