Non-perturbative Origin of Electroweak Scale via Higgs-portal: Dyson-Schwinger in Conformally Invariant Scalar Sector

Abstract

We investigate conformally extended Standard Model with a hidden scalar $\varphi$. It is shown that due to non-perturbative dynamics in the hidden sector, $\varphi$ develops a vacuum expectation value (vev) in the form of a mass gap which triggers the electroweak symmetry breaking (EWSB) and dynamically generates the SM Higgs boson mass. For estimating the non-perturbatively generated mass scale, we solve the hierarchy of Dyson-Schwinger Equations in form of partial differential equations using the exact solution known via a novel technique developed by Bender, Milton and Savage. We employ Jacobi Elliptic function as exact background solution and show that the mass gap that arises in the hidden sector can be transmuted to the EW sector, expressed in terms of Higgs-portal mixed quartic coupling $\beta$ and self interaction quartic coupling ${\lambda }_{\varphi }$ of $\varphi$. We identify the suitable parameter space where the observed SM Higgs boson can be successfully generated . Finally, we discuss how this idea of non-perturbative EW scale generation can serve as a new starting point for better realistic model building in the context of resolving the hierarchy problem in the Standard Model.

arXiv comment24 pages, 3 figures. Version accepted for publication in Fortschritte der Physik

References in corpus (72)

• Strong Dynamics and Electroweak Symmetry Breaking
• 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
• Natural Electroweak Symmetry Breaking from Scale Invariant Higgs Mechanism
• Hearing the signals of dark sectors with gravitational wave detectors
• QCD-Electroweak First-Order Phase Transition in a Supercooled Universe
• 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
• Vectorlike Confinement at the LHC
• Phase transition and gravitational wave phenomenology of scalar conformal extensions of the Standard Model
• Solution of Schwinger-Dyson Equations for $\mathcal{P}\mathcal{T}$-Symmetric Quantum Field Theory
• Strong gravitational radiation from a simple dark matter model
• Phase transition and vacuum stability in the classically conformal B-L model
• Gravitational Waves from First-Order Phase Transitions: LIGO as a Window to Unexplored Seesaw Scales
• Dark Matter from a Classically Scale-Invariant $SU(3{)}_X$
• Dynamical generation of the weak and Dark Matter scales from strong interactions
• Towards LHC Physics with Non-local Standard Model
• Gravitational waves from conformal symmetry breaking
• Infrared Gluon and Ghost Propagators
• The Collider Phenomenology of Technihadrons in the Technicolor Straw Man Model
• 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
• Gravitational Waves from Fundamental Axion Dynamics
• 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
• On the Stability of Infinite Derivative Abelian Higgs
• Natural Inflation with Hidden Scale Invariance
• Inflation and reheating in scale-invariant scalar-tensor gravity
• Quantum Yang-Mills field theory
• The Neutrino Option
• Strongly coupled quantum field theory
• Induced Gravity I: Real Scalar Field
• Exact solutions of classical scalar field equations
• Induced Gravity II: Grand Unification
• Condition for confinement in non-Abelian gauge theories
• 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
• Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
• 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
• Infrared QCD
• A theorem on the Higgs sector of the Standard Model
• On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD
• Mass Gap in Infinite Derivative Non-local Higgs: Dyson-Schwinger Approach
• The Higgs of the Higgs and the diphoton channel
• Confinement in QCD and generic Yang-Mills theories with matter representations
• Differential Dyson-Schwinger equations for quantum chromodynamics
• Scalar Dark Matter Probes the Scale of Non-locality
• Proof of triviality of $\lambda {\varphi }^4$ theory
• Yang-Mills Propagators and QCD
• Nambu-Jona-Lasinio model correlation functions from QCD
• Dual perturbation expansion for a classical $\lambda {\varphi }^4$ field theory
• Quark confinement in QCD in the 't Hooft limit
• Fate of False Vacuum in Non-perturbative Regimes
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
• Classical solutions of a massless Wess-Zumino model
• High $P_T$ Higgs excess as a signal of non-local QFT at the LHC
• Dynamical generation of electroweak scale from the conformal sector: A strongly coupled Higgs via the Dyson--Schwinger approach
• Generating the Electro-Weak Scale by Vector-like Quark Condensation