Renormalization Group Running of the Minimal Leptophilic Dark Matter Model toward a UV Completion

Abstract

We study the renormalization group running of the coupling constants in a minimal leptophilic dark matter model in which a Standard Model singlet fermion, acting as the dark matter (DM) candidate, couples exclusively to right-handed charged leptons via a new charged scalar mediator. Reproduction of the observed thermal relic abundance of the DM candidate requires sizable Yukawa couplings, and such sizable Yukawa couplings can significantly affect the renormalization group evolution of the model parameters. We examine the conditions that the model remains perturbative and the vacuum stability is maintained up to high-energy scales. We find that the parameter space is severely constrained to ensure the perturbativity and the vacuum stability up to the Planck scale. In particular, the masses of the dark matter and the charged scalar mediator should be smaller than about 350 GeV and can be tested by future collider experiments. The lower bound of the dark matter mass that is larger than a few GeV is also obtained by perturbativity.

arXiv comment9 pages, 6 figures, the version published in the Phys. Rev. D

References in corpus (20)

• A Theory of Dark Matter
• A Model for Neutrino Masses and Dark Matter
• Leptophilic Dark Matter
• Two-loop Renormalization Group Equations in General Gauge Field Theories
• Vacuum Stability Bounds in the Two-Higgs Doublet Model
• Upper and lower bounds of the lightest CP-even Higgs boson in the two-Higgs-doublet model
• Dark Matter Search Results from 4.2 Tonne-Years of Exposure of the LUX-ZEPLIN (LZ) Experiment
• Lepton Portal Dark Matter
• Leptophilic Effective WIMPs
• Bounds on scalar masses in two Higgs doublet models
• Detection of Leptonic Dark Matter
• Leptophilic Dark Matter with $Z^{\prime }$ interactions
• PyR@TE 3
• Neutrino Mass and Dark Matter in light of recent AMS-02 results
• Current status and muon $g-2$ explanation of lepton portal dark matter
• A feeble window on leptophilic dark matter
• Simplified TeV leptophilic dark matter in light of DAMPE data
• Triviality Bounds in Two-Doublet Models
• Leptophilic fermion WIMP ~ Role of future lepton colliders
• Light mass window of lepton portal dark matter