Dynamical generation of electroweak scale from the conformal sector: A strongly coupled Higgs via the Dyson--Schwinger approach
arXiv:2407.21179 · doi:10.1002/prop.202400259
Abstract
We propose a novel pathway to generate the electroweak (EW) scale via non-perturbative dynamics of a conformally invariant scalar sector at the classical level. We provide a method to estimate the non-perturbative EW scale generation using the exact solution of the background equations of motion in a scalar theory via the Dyson-Schwinger approach. Particularly, we find an analytical result for the Higgs mass in the strongly coupled regime in terms of its quartic self interaction term and the cut-off scale of the theory. We also show that the Higgs sector is an essential part of the Standard Model as, without it, a Yang--Mills gauge theory cannot acquire mass even if a self-interaction term is present. Our analysis lead to a more realistic model building with possible solutions to the gauge hierarchy problem and, in general, to the dynamical generation of any scales scales in nature, be it the visible sector or the dark sector.
18 pages, 1 figure; comments are welcome
References in corpus (60)
- Conformal Symmetry and the Standard Model
- Classically Conformal B-L extended Standard Model
- Agravity
- A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
- The minimal B-L model naturally realized at TeV scale
- Emergence of the Electroweak Scale through the Higgs Portal
- Dynamically Induced Planck Scale and Inflation
- Dynamical generation of the weak and Dark Matter scale
- Electroweak Higgs as a pseudo-Goldstone boson of broken scale invariance
- Natural Electroweak Symmetry Breaking from Scale Invariant Higgs Mechanism
- Inflation and Dark Matter in the Higgs Portal of Classically Scale Invariant Standard Model
- Dark matter and neutrino masses from a scale-invariant multi-Higgs portal
- The Minimal Scale Invariant Extension of the Standard Model
- Electroweak and Conformal Symmetry Breaking by a Strongly Coupled Hidden Sector
- Solution of Schwinger-Dyson Equations for -Symmetric Quantum Field Theory
- Dark Matter from a Classically Scale-Invariant
- Dynamical generation of the weak and Dark Matter scales from strong interactions
- Radiative Symmetry Breaking of the Minimal Left-Right Symmetric Model
- Infrared Gluon and Ghost Propagators
- Embedding inflation into the Standard Model - more evidence for classical scale invariance
- Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
- Inflation in scale-invariant theories of gravity
- Light Dark Matter, Naturalness, and the Radiative Origin of the Electroweak Scale
- Dimensional Transmutation in Gravity and Cosmology
- Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
- Transmutation of nonlocal scale in infinite derivative field theories
- Classically Scale Invariant Inflation, Supermassive WIMPs, and Adimensional Gravity
- Natural Inflation with Hidden Scale Invariance
- Inflation and reheating in scale-invariant scalar-tensor gravity
- The Neutrino Option
- Quantum Yang-Mills field theory
- Strongly coupled quantum field theory
- Induced Gravity I: Real Scalar Field
- Exact solutions of classical scalar field equations
- Condition for confinement in non-Abelian gauge theories
- Induced Gravity II: Grand Unification
- Conformal Realization of the Neutrino Option
- Scalar field theory in the strong self-interaction limit
- Spectrum of Yang-Mills theory in 3 and 4 dimensions
- Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
- Strong coupling expansion for general relativity
- Confinement in a three-dimensional Yang-Mills theory
- A theorem on the Higgs sector of the Standard Model
- Infrared QCD
- On a novel evalutation of the hadronic contribution to the muon's from QCD
- Mass Gap in Infinite Derivative Non-local Higgs: Dyson-Schwinger Approach
- Confinement in QCD and generic Yang-Mills theories with matter representations
- The Higgs of the Higgs and the diphoton channel
- Differential Dyson-Schwinger equations for quantum chromodynamics
- Yang-Mills Propagators and QCD
- Proof of triviality of theory
- Nambu-Jona-Lasinio model correlation functions from QCD
- Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios
- Dual perturbation expansion for a classical field theory
- Confining complex ghost degrees of freedom
- Fate of False Vacuum in Non-perturbative Regimes
- Quark confinement in QCD in the 't Hooft limit
- Classical solutions of a massless Wess-Zumino model
- Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
- Effective potential in non-perturbative gauge theories