Inert scalars and vacuum metastability around the electroweak scale

Abstract

We analyse effective potential around the electroweak (EW) scale in the Standard Model extended with a heavy scalar doublet. We show that the additional scalars can have a strong impact on vacuum stability. Although the additional heavy scalars may improve the behaviour of running Higgs self-coupling at large field values, we prove that they can destabilise the vacuum due to EW-scale effects. A new EW symmetry conserving minimum of the effective potential can appear rendering the electroweak symmetry breaking minimum meta- or unstable. However, for the case of the inert doublet model (IDM) with a 125 GeV Higgs boson we demonstrate that the parameter space region where the vacuum is meta- or unstable cannot be reconciled with the constraints from perturbative unitarity, electroweak precision tests and dark matter relic abundance measurements.

15 pages, 4 figures, v2: references added, discussion extended (one figure added), results unchanged, matches published version

References in corpus (23)

• 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
• Big-Bang Nucleosynthesis
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• The global electroweak fit at NNLO and prospects for the LHC and ILC
• Observing the Dark Scalar Doublet and its Impact on the Standard-Model Higgs Boson at Colliders
• Search for TeV Gamma-ray Emission from GRB 100621A, an extremely bright GRB in X-rays, with H.E.S.S
• The Inert Dark Matter
• Status of the Inert Doublet Model and the Role of multileptons at the LHC
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• Evolution of Universe to the present inert phase
• Vacuum metastability with black holes
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• Top mass determination, Higgs inflation, and vacuum stability
• Constraints on inert dark matter from metastability of the electroweak vacuum
• Parity Problem of the Scotogenic Neutrino Model
• The Higgs vacuum is unstable
• Dark matter, neutrino masses and high scale validity of an inert Higgs doublet model
• Higgs Vacuum Stability in a Mass-Dependent Renormalisation Scheme
• Dark Matter data and constraints on quartic couplings in IDM
• Temperature evolution of physical parameters in the Inert Doublet Model

Cited by in corpus (27)

• Inert Doublet Model in the light of LHC and astrophysical data
• Inert Doublet Model in light of LHC Run I and astrophysical data
• Prospects for charged Higgs searches at the LHC
• Exploring collider signatures of the inert Higgs doublet model
• The inert doublet model in the light of Fermi-LAT gamma-ray data: a global fit analysis
• Thermal phase transition with full 2-loop effective potential
• BubbleProfiler: finding the field profile and action for cosmological phase transitions
• Benchmarking the Inert Doublet Model for e+ e- colliders
• Fermionic WIMPs and Vacuum Stability in the Scotogenic Model
• Radiative Corrections to Triple Higgs Coupling and Electroweak Phase Transition: Beyond One-loop Analysis
• One-loop contributions to neutral minima in the inert doublet model
• Constraining the Inert Doublet Model using Vector Boson Fusion
• Reopen parameter regions in Two-Higgs Doublet Models
• Distinguishing Inert Higgs Doublet and Inert Triplet Scenarios
• Portals into Higgs vacuum stability
• Production of Inert Scalars at the high energy $e^{+}{e}^{-}$ colliders
• One-loop radiative corrections to $e^{+}{e}^{-}\to Z{h}^0/H^0{A}^0$ in the Inert Higgs Doublet Model
• Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 1. Renormalisation and constraints
• Revisiting one-loop corrections to the trilinear Higgs boson self-coupling in the Inert Doublet Model
• Scrutinizing Vacuum Stability in IDM with Type-III Inverse seesaw
• On the scalar potential of two-Higgs doublet models
• Interplay of inert doublet and vector-like lepton triplet with displaced vertices at the LHC/FCC and MATHUSLA
• Fate of the scalar quartic couplings in the inert models
• Full one-loop radiative corrections to $e^{+}{e}^{-}\to H^{+}{H}^{-}$ in the inert doublet model
• Study of vacuum behavior for inert models with discrete $Z_2$-like and abelian $U(1)$ symmetries
• Confronting the Inert Doublet Model with results from Run 1 of the LHC
• Constraining Scalar Doublet and Triplet Leptoquarks with Vacuum Stability and Perturbativity