Higgs mass naturalness and scale invariance in the UV

Abstract

It has been suggested that electroweak symmetry breaking in the Standard Model may be natural if the Standard Model merges into a conformal field theory (CFT) at short distances. In such a scenario the Higgs mass would be protected from quantum corrections by the scale invariance of the CFT. In order for the Standard Model to merge into a CFT at least one new ultraviolet (UV) scale is required at which the couplings turn over from their usual Standard Model running to the fixed point behavior. We argue that the Higgs mass is sensitive to such a turn-over scale even if there are no associated massive particles and the scale arises purely from dimensional transmutation. We demonstrate this sensitivity to the turnover scale explicitly in toy models. Thus if scale invariance is responsible for Higgs mass naturalness, then the transition to CFT dynamics must occur near the TeV scale with observable consequences at colliders. In addition, the UV fixed point theory in such a scenario must be interacting because logarithmic running near a free fixed point constitutes hard breaking of scale invariance and spoils the Higgs mass protection.

8 pages; v2 references added

References in corpus (14)

• 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
• Conformal Symmetry and the Standard Model
• Quantum scale invariance, cosmological constant and hierarchy problem
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• Electroweak Symmetry Breaking induced by Dark Matter
• Scale invariant extension of the standard model with strongly interacting hidden sector
• Natural Electroweak Symmetry Breaking from Scale Invariant Higgs Mechanism
• Shadow Higgs from a scale-invariant hidden $U(1{)}_s$ model
• The Minimal Scale Invariant Extension of the Standard Model
• Classical scale-invariance, the electroweak scale and vector dark matter
• Natural Tuning: Towards A Proof of Concept
• Leptogenesis and Neutrino Oscillations in the Classically Conformal Standard Model with the Higgs Portal
• Conformal invariance from non-conformal gravity

Cited by in corpus (55)

• Natural Electroweak Symmetry Breaking from Scale Invariant Higgs Mechanism
• Lattice tests of beyond Standard Model dynamics
• Poincare Protection for a Natural Electroweak Scale
• Is the Higgs Boson Associated with Coleman-Weinberg Dynamical Symmetry Breaking?
• Right-Handed Neutrinos as the Origin of the Electroweak Scale
• Criteria for Natural Hierarchies
• Model Building from Asymptotic Safety with Higgs and Flavor Portals
• Radiative symmetry breaking at the Fermi scale and flat potential at the Planck scale
• A Radiative Model for the Weak Scale and Neutrino Mass via Dark Matter
• Asymptotically Safe Grand Unification
• Higgs-Dilaton Cosmology: An inflation - dark energy connection and forecasts for future galaxy surveys
• Radiative Symmetry Breaking from Flat Potential in various U(1)' models
• Type-I Seesaw as the Common Origin of Neutrino Mass, Baryon Asymmetry, and the Electroweak Scale
• Higgs Partner Searches and Dark Matter Phenomenology in a Classically Scale Invariant Higgs Boson Sector
• Novel Higgs Potentials from Gauge Mediation of Exact Scale Breaking
• $\nu$DFSZ: a technically natural non-supersymmetric model of neutrino masses, baryogenesis, the strong CP problem, and dark matter
• Frame (In)equivalence in Quantum Field Theory and Cosmology
• Stable Asymptotically Free Extensions (SAFEs) of the Standard Model
• Cosmological Signatures of a UV-Conformal Standard Model
• Radiative symmetry breaking from interacting UV fixed points
• Standard Model with spontaneously broken quantum scale invariance
• Conformal Complex Singlet Extension of the Standard Model: Scenario for Dark Matter and a Second Higgs Boson
• Scale and Weyl Invariance in Einstein-Cartan Gravity
• Inflation from Asymptotically Safe Theories
• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• An ultra-weak sector, the strong CP problem and the pseudo-Goldstone dilaton
• Asymptotic safety and Conformal Standard Model
• Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord
• Asymptotic Safety in the Conformal Hidden Sector?
• Examining the neutrino option
• Dark chiral symmetry breaking and the origin of the electroweak scale
• The hierarchy problem of the electroweak Standard Model revisited
• Comments on the Hierarchy Problem in Effective Theories
• Quantum implications of a scale invariant regularisation
• CFT data and spontaneously broken conformal invariance
• A complete asymptotically safe embedding of the Standard Model
• Asymptotically safe and free chiral theories with and without scalars
• Gravitational waves and dark matter from classical scale invariance
• A Walking Dilaton Inflation
• Naturalness, Extra-Empirical Theory Assessments, and the Implications of Skepticism
• Electroweak vacuum stability and finite quadratic radiative corrections
• The fine tuning of the cosmological constant in a conformal model
• Naturalness of asymptotically safe Higgs
• Hierarchy problem, gauge coupling unification at the Planck scale, and vacuum stability
• The Hierarchy Problem and the Cosmological Constant Problem Revisited -- A new view on the SM of particle physics
• Electroweak Stability and Discovery Luminosities for New Physics
• Very light dilaton and naturally light Higgs boson
• Finetuned Cancellations and Improbable Theories
• A technique for natural gauge boson masses
• Little Conformal Symmetry
• Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
• Relating the cosmological constant and slow roll to conformal symmetry breaking
• Higgsed Stueckelberg Vector and Higgs Quadratic Divergence
• Dark Matter and Muon $g-2$ Anomaly via Scale Symmetry Breaking
• Conformal Windows beyond Asymptotic Freedom