Invisible Higgs Decay Width vs. Dark Matter Direct Detection Cross Section in Higgs Portal Dark Matter Models

Abstract

The correlation between the invisible Higgs branching ratio ($B_h^{\mathrm{inv}}$) vs. dark matter (DM) direct detection (${\sigma }_p^{\mathrm{SI}}$) in Higgs portal DM models is usually presented in the effective field theory (EFT) framework. This is fine for singlet scalar DM, but not in the singlet fermion DM (SFDM) or vector DM (VDM) models. In this paper, we derive the explicit expressions for this correlation within UV completions of SFDM and VDM models with Higgs portals, and discuss the limitation of the EFT approach. We show that there are at least two additional hidden parameter in ${\sigma }_p^{\mathrm{SI}}$ in the UV completions: the singlet-like scalar mass $m_2$ and its mixing angle $\alpha$ with the SM Higgs boson ($h$). In particular, if the singlet-like scalar is lighter than the SM Higgs boson ($m_2<m_h\cos \alpha /\sqrt{1+{\cos }^2\alpha }$), the collider bound becomes weaker than the one based on EFT.

6 pages, 2 figures

References in corpus (3)

• Search for invisible decays of Higgs bosons in the vector boson fusion and associated ZH production modes
• Scale invariant extension of the standard model with strongly interacting hidden sector
• VDM: A model for Vector Dark Matter

Cited by in corpus (13)

• Z-portal dark matter
• Resonance enhancement of dark matter interactions: the case for early kinetic decoupling and velocity dependent resonance width
• Heavy WIMP through Higgs portal at the LHC
• New LUX and PandaX-II Results Illuminating the Simplest Higgs-Portal Dark Matter Models
• Multi-component Dark Matter through a Radiative Higgs Portal
• Decaying Vector Dark Matter as an Explanation for the 3.5 keV Line from Galaxy Clusters
• Real singlet scalar dark matter extension of the Georgi-Machacek model
• Scalar Dark Matter: Real vs Complex
• Cosmic Strings in Hidden Sectors: 2. Cosmological and Astrophysical Signatures
• Testing Type II Radiative Seesaw Model: from Dark Matter Detection to LHC Signatures
• Dark matter in the $SO(5)\times U(1)$ gauge-Higgs unification
• The Dilaton-like Higgs boson with scalar singlet dark matter
• Inert scalar dark matter in an extra dimension inspired model