Standard Model Meets Gravity: Electroweak Symmetry Breaking and Inflation

Abstract

We propose a model for combining the Standard Model (SM) with gravity. It relies on a non-minimal coupling of the Higgs field to the Ricci scalar and on the Palatini formulation of gravity. Without introducing any new degrees of freedom in addition to those of the SM and the graviton, this scenario achieves two goals. First, it generates the electroweak symmetry breaking by a non-perturbative gravitational effect. In this way, it does not only address the hierarchy problem but opens up the possibility to calculate the Higgs mass. Second, the model incorporates inflation at energies below the onset of strong-coupling of the theory. Provided that corrections due to new physics above the scale of inflation are not unnaturally large, we can relate inflationary parameters to data from collider experiments.

arXiv comment11 pages, 2 figures; v2: mistake in eq. (23) corrected, appendices added, other minor improvements; v3: expanded discussion on validity of semiclassical approximation, matches published version

References in corpus (54)

• 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
• Planck 2018 results. X. Constraints on inflation
• The Standard Model Higgs boson as the inflaton
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Nonperturbative Evolution Equation for Quantum Gravity
• Causality, Analyticity and an IR Obstruction to UV Completion
• Investigating the near-criticality of the Higgs boson
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• The $\nu$MSM, Dark Matter and Neutrino Masses
• The role of sterile neutrinos in cosmology and astrophysics
• Higgs inflation: consistency and generalisations
• On the Naturalness of Higgs Inflation
• Standard Model Higgs boson mass from inflation: two loop analysis
• Power-counting and the Validity of the Classical Approximation During Inflation
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Standard Model Higgs boson mass from inflation
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Standard Model Criticality Prediction: Top mass 173 +/- 5 GeV and Higgs mass 135 +/- 9 GeV
• Open Inflation Without False Vacua
• Living beyond the edge: Higgs inflation and vacuum metastability
• Unitarizing Higgs Inflation
• Do experiments suggest a hierarchy problem?
• UV-Completion by Classicalization
• Higgs-Palatini Inflation and Unitarity
• Measurement of the top quark mass using proton-proton data at sqrt(s) = 7 and 8 TeV
• Higgs inflation with loop corrections in the Palatini formulation
• Why should we care about the top quark Yukawa coupling?
• Violent Preheating in Inflation with Nonminimal Coupling
• Scale Invariant Instantons and the Complete Lifetime of the Standard Model
• A modified naturalness principle and its experimental tests
• Preheating in Palatini Higgs inflation
• Self-healing of unitarity in effective field theories and the onset of new physics
• Measurement of the top quark mass in the $t\bar{t}\to$ lepton+jets channel from $\sqrt{s}=8$ TeV ATLAS data and combination with previous results
• A Unitarity-Conserving Higgs Inflation Model
• On the robustness of the primordial power spectrum in renormalized Higgs inflation
• Preheating after multifield inflation with nonminimal couplings, III: Dynamical spacetime results
• Self-Completeness of Einstein Gravity
• On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection
• Quantum Effects in Palatini Higgs Inflation
• Classicalization of Gravitons and Goldstones
• Cosmological Perturbations from the No Boundary Euclidean Path Integral
• The Top Mass: Interpretation and Theoretical Uncertainties
• Frame (In)equivalence in Quantum Field Theory and Cosmology
• Beyond dimensional analysis: Higgs and new Higgs inflations {\it do not} violate unitarity
• To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
• Gravity, Scale Invariance and the Hierarchy Problem
• A theoretical study of top-mass measurements at the LHC using NLO+PS generators of increasing accuracy
• Unitarity and predictiveness in new Higgs inflation
• Conformal symmetry: towards the link between the Fermi and the Planck scales
• O($N$) Invariance of the Multi-Field Bounce
• Open inflation and the singular boundary
• Dilaton-assisted generation of the Fermi scale from the Planck scale
• Path integral measure for first order and metric gravities

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