Gauge hierarchy from electroweak vacuum metastability
arXiv:2108.09315 · doi:10.1103/PhysRevD.105.055031
Abstract
We consider the possibility that the gauge hierarchy is a byproduct of the metastability of the electroweak vacuum, i.e., that whatever mechanism is responsible for the latter also sets the running Higgs mass to a value smaller than its natural value by many orders of magnitude. This perspective is motivated by the early-time framework for eternal inflation put forth recently, which favors vacua that are relatively short-lived, but applies more generally to any theoretical approach predicting that our vacuum should be metastable. We find that the metastability of the electroweak vacuum, together with the requirement that such a non-trivial vacuum exists, requires the Higgs mass to be smaller than the instability scale by around one order of magnitude. While this bound is quite weak in the Standard Model (SM), as the instability scale is GeV, simple and well-motivated extensions of the SM - concretely, the MSM with an approximate symmetry and the minimal SU(4)/Sp(4) composite Higgs model - can significantly tighten the bound by lowering the instability scale. We find that the bound can be brought down to TeV where our perturbative treatment of the decay rate becomes unreliable. Our results imply that, assuming the SM symmetry breaking pattern, small running Higgs masses are a universal property of theories giving rise to metastability, suggesting a common origin of the two underlying fine-tunings and providing a strong constraint on any attempt to explain metastability.
arXiv commentv2: 24 pages, 6 figures. To appear in Physical Review D
References in corpus (65)
- Higgs mass and vacuum stability in the Standard Model at NNLO
- Investigating the near-criticality of the Higgs boson
- The MSM, Dark Matter and Baryon Asymmetry of the Universe
- The MSM, Dark Matter and Neutrino Masses
- Higgs boson mass and new physics
- On weakly turbulent instability of anti-de Sitter space
- On the metastability of the Standard Model vacuum
- Conformal Symmetry and the Standard Model
- Running Neutrino Mass Parameters in See-Saw Scenarios
- Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos
- Classically Conformal B-L extended Standard Model
- Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
- Feebly-Interacting Particles:FIPs 2020 Workshop Report
- A possible symmetry of the MSM
- Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
- Cosmological implications of the Higgs mass measurement
- The Probable Fate of the Standard Model
- A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
- The nuMSM, leptonic asymmetries, and properties of singlet fermions
- Probabilities in the inflationary multiverse
- DsixTools: The Standard Model Effective Field Theory Toolkit
- IMPROVED METASTABILITY BOUNDS ON THE STANDARD MODEL HIGGS MASS
- Emergence of the Electroweak Scale through the Higgs Portal
- The Next-to-Minimal Coleman-Weinberg Model
- Dynamical generation of the weak and Dark Matter scale
- Electroweak Higgs as a pseudo-Goldstone boson of broken scale invariance
- Physical Naturalness and Dynamical Breaking of Classical Scale Invariance
- The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
- Shadow Higgs from a scale-invariant hidden model
- Inflation and Dark Matter in the Higgs Portal of Classically Scale Invariant Standard Model
- Gravitational corrections to Standard Model vacuum decay
- Neutrino Mass Matrix Running for Non-Degenerate See-Saw Scales
- The Minimal Scale Invariant Extension of the Standard Model
- Scale Invariant Instantons and the Complete Lifetime of the Standard Model
- Living Dangerously with Low-Energy Supersymmetry
- Consistent Use of the Standard Model Effective Potential
- Classical scale-invariance, the electroweak scale and vector dark matter
- Leptogenesis and Neutrino Oscillations in the Classically Conformal Standard Model with the Higgs Portal
- Massive Neutrinos and the Higgs Mass Window
- A frequentist analysis of three right-handed neutrinos with GAMBIT
- On gravitational and thermal corrections to vacuum decay
- Precise Values of Running Quark and Lepton Masses in the Standard Model
- Radiative generation of the Higgs potential
- Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
- Self-Organised Localisation
- TeV Scale B-L model with a flat Higgs potential at the Planck scale -- in view of the hierarchy problem
- Higher-order scalar interactions and SM vacuum stability
- Viable dark matter via radiative symmetry breaking in a scalar singlet Higgs portal extension of the standard model
- Standard Model vacuum decay with gravity
- Inflating to the Weak Scale
- Electroweak vacuum stability in presence of singlet scalar dark matter in TeV scale seesaw models
- Vacuum Stability Constraints on the Minimal Singlet TeV Seesaw Model
- Sterile neutrino dark matter via coinciding resonances
- Conformal Complex Singlet Extension of the Standard Model: Scenario for Dark Matter and a Second Higgs Boson
- Stationary configurations of the Standard Model Higgs potential: electroweak stability and rising inflection point
- Computational complexity of the landscape II - Cosmological considerations
- The Self-Organized Critical Multiverse
- Partially composite Higgs models: Phenomenology and RG analysis
- Search Optimization, Funnel Topography, and Dynamical Criticality on the String Landscape
- Accessibility Measure for Eternal Inflation: Dynamical Criticality and Higgs Metastability
- Consistency of the dynamical high-scale type-I seesaw mechanism
- Vacuum Decay in the Standard Model: Analytical Results with Running and Gravity
- Early-Time Measure in Eternal Inflation
- Sigma-assisted natural composite Higgs
- The Standard Model in Its Other Phase