RGE of a Cold Dark Matter Two-Singlet Model

Abstract

We study via the renormalization group equations at one-loop order the perturbativity and vacuum stability of a two-singlet model of cold dark matter (DM) that consists in extending the Standard Model with two real gauge-singlet scalar fields. We then investigate the regions in the parameter space in which the model is viable. For this, we require the model to reproduce the observed DM relic density abundance, to comply with the measured XENON 100 direct-detection upper bounds, and to be consistent with the RGE perturbativity and vacuum-stability criteria up to $40\mathrm{TeV}$. For small mixing angle $\theta$ between the physical Higgs $h$ and auxiliary field, and DM-$h$ mutual coupling constant ${\lambda }_0^{(4)}$, we find that the auxiliary-field mass is confined to the interval $116\mathrm{GeV}-138\mathrm{GeV}$ while the DM mass is mainly confined to the region above $57\mathrm{GeV}$. Increasing $\theta$ enriches the existing viability regions without relocating them, while increasing ${\lambda }_0^{(4)}$ shrinks them with a tiny relocation. We show that the model is consistent with the recent Higgs boson-like discovery by the ATLAS and CMS experiments, while very light dark matter (masses below $5\mathrm{GeV}$) is ruled out by the same experiments.

23 pages

References in corpus (7)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Dark Matter Results from 225 Live Days of XENON100 Data
• Gauge Singlet Scalars as Cold Dark Matter
• LHC Phenomenology of an Extended Standard Model with a Real Scalar Singlet
• Minimal Extension of the Standard Model Scalar Sector
• A Two-Singlet Model for Light Cold Dark Matter

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• Dark Matter-Induced Multi-Phase Dynamical Symmetry Breaking
• Renormalization group equation analysis of a pseudoscalar portal dark matter model
• Phase transition in multi-scalar-singlet extensions of the Standard Model
• Singlet Fermion Assisted Dominant Seesaw with Lepton Flavor and Number Violations and Leptogenesis
• W-boson mass anomaly and vacuum structure in vector dark matter model with a singlet scalar mediator
• D-dimensional self-gravitating lattice gas in general relativity
• Determining the masses of invisible particles: Application to Higgs boson invisible decay