Robust approach to thermal resummation: Standard Model meets a singlet

Abstract

Perturbation theory alone fails to describe thermodynamics of the electroweak phase transition. We review a technique combining perturbative and non-perturbative methods to overcome this challenge. Accordingly, the principal theme is a tutorial of high-temperature dimensional reduction. We present an explicit derivation with a real singlet scalar and compute the thermal effective potential at two-loop order. In particular, we detail the dimensional reduction for a real-singlet extended Standard Model. The resulting effective theory will impact future non-perturbative studies based on lattice simulations as well as purely perturbative investigations.

arXiv comment86 pages, 2 figures and 141 Feynman diagrams

References in corpus (184)

• Multi-messenger Observations of a Binary Neutron Star Merger
• Cosmological Backgrounds of Gravitational Waves
• Gravitational Radiation from First-Order Phase Transitions
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Electroweak baryogenesis
• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• Detecting gravitational waves from cosmological phase transitions with LISA: an update
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• Gravitational Wave Production by Collisions: More Bubbles
• Update on scalar singlet dark matter
• Taiji Program: Gravitational-Wave Sources
• Gravitational waves from the sound of a first order phase transition
• Numerical simulations of acoustically generated gravitational waves at a first order phase transition
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Electroweak Baryogenesis
• CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Singlet Higgs Phenomenology and the Electroweak Phase Transition
• Shape of the acoustic gravitational wave power spectrum from a first order phase transition
• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• Standard Model CP-violation and Baryon asymmetry
• Strong Electroweak Phase Transitions in the Standard Model with a Singlet
• Endpoint of the hot electroweak phase transition
• The pressure of hot QCD up to g^6 ln(1/g)
• Free Energy of QCD at High Temperature
• Resummation in a Hot Scalar Field Theory
• Gravitational Waves From a Dark (Twin) Phase Transition
• First-Order Electroweak Phase Transition in the Standard Model with a Low Cutoff
• Effective Field Theory Approach to High-Temperature Thermodynamics
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• Baryon Washout, Electroweak Phase Transition, and Perturbation Theory
• Electroweak Bubble Wall Speed Limit
• Gravitational Waves from Electroweak Phase Transitions
• Testing Electroweak Baryogenesis with Future Colliders
• The universality class of the electroweak theory
• A Non-Perturbative Analysis of the Finite T Phase Transition in SU(2)xU(1) Electroweak Theory
• The Three-Loop Free Energy for Pure Gauge QCD
• Can electroweak bubble walls run away?
• Baryogenesis in the Two-Higgs Doublet Model
• The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
• Dynamics of Non-renormalizable Electroweak Symmetry Breaking
• Electroweak baryogenesis and dark matter from a singlet Higgs
• Singlet-Catalyzed Electroweak Phase Transitions and Precision Higgs Studies
• Baryon Asymmetry of the Universe in the Minimal Standard Model
• Baryon Asymmetry of the Universe in the Standard Model
• Gravitational waves from vacuum first-order phase transitions: from the envelope to the lattice
• The Growth of Bubbles in Cosmological Phase Transitions
• Cosmic phase transitions: their applications and experimental signatures
• The Standard Model cross-over on the lattice
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Theoretical uncertainties for cosmological first-order phase transitions
• Electroweak Baryogenesis in Two Higgs Doublet Models and B meson anomalies
• Gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis
• Where the electroweak phase transition ends
• Vorticity, kinetic energy, and suppressed gravitational wave production in strong first order phase transitions
• The MSSM Electroweak Phase Transition on the Lattice
• Strong First Order Electroweak Phase Transition in the CP-Conserving 2HDM Revisited
• A Second Higgs Doublet in the Early Universe: Baryogenesis and Gravitational Waves
• Dynamics of Two Higgs Doublet CP Violation and Baryogenesis at the Electroweak Phase Transition
• A strong electroweak phase transition in the 2HDM after LHC8
• Resummation in Hot Field Theories
• 3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
• A unified explanation for dark matter and electroweak baryogenesis with direct detection and gravitational wave signatures
• Gravitational waves from vacuum first order phase transitions II: from thin to thick walls
• Model Discrimination in Gravitational Wave spectra from Dark Phase Transitions
• The electroweak phase transition with a singlet
• Gravitational waves as a probe of extended scalar sectors with the first order electroweak phase transition
• Measuring the Broken Phase Sphaleron Rate Nonperturbatively
• The Baryon asymmetry in the Standard Model with a low cut-off
• Towards an all-orders calculation of the electroweak bubble wall velocity
• Probing the Higgs Portal at the LHC Through Resonant di-Higgs Production
• Echoes of the Electroweak Phase Transition: Discovering a second Higgs doublet through $A_0\to H_{0}Z$
• Perturbative Thermal QCD: Formalism and Applications
• Collider and Gravitational Wave Complementarity in Exploring the Singlet Extension of the Standard Model
• On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
• Electroweak Baryogenesis in Non-minimal Composite Higgs Models
• Finite Temperature Effective Potential to Order $g^4,\la^2$ and the Electroweak Phase Transition
• Model-independent energy budget of cosmological first-order phase transitions
• Standard Model CP-violation and Baryon asymmetry Part I: Zero Temperature
• Dynamics of Electroweak Phase Transition In Singlet-Scalar Extension of the Standard Model
• Bubble Expansion and the Viability of Singlet-Driven Electroweak Baryogenesis
• Non-perturbative Debye mass in finite T QCD
• The weak electroweak phase transition
• Supersymmetric Electroweak Phase Transition: Beyond Perturbation Theory
• What is the Criterion for a Strong First Order Electroweak Phase Transition in Singlet Models?
• Signals of the electroweak phase transition at colliders and gravitational wave observatories
• The 2-loop MSSM finite temperature effective potential with stop condensation
• Electroweak Baryogenesis from Exotic Electroweak Symmetry Breaking
• Standard Model with a Complex Scalar Singlet: Cosmological Implications and Theoretical Considerations
• Supersonic Deflagrations in Cosmological Phase Transitions
• Strong electroweak phase transitions without collider traces
• The Electroweak Phase Transition: A Collider Target
• How to resum long-distance contributions to the QCD pressure?
• Real Higgs singlet and the electroweak phase transition in the standard model, (UM-P-93/80, OZ-93/20)
• Stepping Into Electroweak Symmetry Breaking: Phase Transitions and Higgs Phenomenology
• Electroweak Bubble Nucleation, Nonperturbatively
• The CP-Violating 2HDM in Light of a Strong First Order Electroweak Phase Transition and Implications for Higgs Pair Production
• High Temperature Dimensional Reduction of the MSSM and other Multi-Scalar Models
• Higgs Couplings and Electroweak Phase Transition
• Hearing the echoes of electroweak baryogenesis with gravitational wave detectors
• Singlet-Catalyzed Electroweak Phase Transitions in the 100 TeV Frontier
• Nonperturbative analysis of the gravitational waves from a first-order electroweak phase transition
• A Strong Electroweak Phase Transition up to m_H ~ 105 GeV
• BSMPT - Beyond the Standard Model Phase Transitions -A Tool for the Electroweak Phase Transition in Extended Higgs Sectors
• The gravitational waves from the first-order phase transition with a dimension-six operator
• A new insight into the phase transition in the early Universe with two Higgs doublets
• Thermodynamics of a two-step electroweak phase transition
• Nonperturbative Analysis of the Electroweak Phase Transition in the Two Higgs Doublet Model
• On the perturbative expansion at high temperature and implications for cosmological phase transitions
• Strong phase transition, dark matter and vacuum stability from simple hidden sectors
• Cosmological Phase Transitions in Warped Space: Gravitational Waves and Collider Signatures
• Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories
• Two Higgs doublet dynamics at the electroweak phase transition: a non-perturbative study
• Feynman Diagrams to Three Loops in Three Dimensional Field Theory
• Baryogenesis from a dark first-order phase transition
• Electroweak Baryogenesis and the Standard Model Effective Field Theory
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Bubble wall velocities in the Standard Model and beyond
• Electroweak phase transition in the $\Sigma$SM - I: Dimensional reduction
• Resonant Di-Higgs Production in the $b\bar{b}WW$ Channel: Probing the Electroweak Phase Transition at the LHC
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• Two-Step Electroweak Baryogenesis
• A fresh look at the gravitational-wave signal from cosmological phase transitions
• SUSY and the Electroweak Phase Transition
• Lattice study of an electroweak phase transition at m_h ~ 126 GeV
• Mesonic correlation lengths in high-temperature QCD
• Fingerprinting models of first-order phase transitions by the synergy between collider and gravitational-wave experiments
• Plaquette expectation value and gluon condensate in three dimensions
• Two Stage Phase Transition in Two Higgs Models
• Three-dimensional physics and the pressure of hot QCD
• Dimensional reduction of the Standard Model coupled to a new singlet scalar field
• Gravitational wave and collider probes of a triplet Higgs sector with a low cutoff
• Gauge Dependence of the High-Temperature 2-Loop Effective Potential for the Higgs Field
• Partial accretion in the propeller stage of low mass X-ray binary Aql X--1
• Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches
• Thermal phase transition with full 2-loop effective potential
• BubbleProfiler: finding the field profile and action for cosmological phase transitions
• Gravitational Waves from a Pati-Salam Phase Transition
• The Effective Potential of Electroweak Theory with Two Massless Higgs Doublets at Finite Temperature
• Scalar Representations in the Light of Electroweak Phase Transition and Cold Dark Matter Phenomenology
• Gravitational Waves from Pati-Salam Dynamics
• The Phase Diagram of Three-Dimensional SU(3) + Adjoint Higgs Theory
• Masses and Phase Structure in the Ginzburg-Landau Model
• Revisiting electroweak phase transition in the standard model with a real singlet scalar
• Three-dimensional effective theories for the two Higgs doublet model at high temperature
• 3--Dimensional Lattice Studies of the Electroweak Phase Transition at M_{Higgs} approx 70 GeV
• Non-perturbative computation of the bubble nucleation rate in the cubic anisotropy model
• A rapid holographic phase transition with brane-localized curvature
• Two-loop dimensional reduction and effective potential without temperature expansions
• PhaseTracer: tracing cosmological phases and calculating transition properties
• Dynamical Axions and Gravitational Waves
• Effective picture of bubble expansion
• Electroweak Baryogenesis with a Pseudo-Goldstone Higgs
• Pressure of the Standard Model at High Temperatures
• Three-dimensional U(1) gauge+Higgs theory as an effective theory for finite temperature phase transitions
• Real scalar phase transitions: a nonperturbative analysis
• Electroweak Phase Transition in Non-Minimal Higgs Sectors
• LISA Sensitivity to Gravitational Waves from Sound Waves
• Solitosynthesis and Gravitational Waves
• The 2-Loop Effective Potential of the 3d SU(2)-Higgs Model in a General Covariant Gauge
• Cosmological phase transitions: is effective field theory just a toy?
• Complementarity of the future $e^{+}{e}^{-}$ colliders and gravitational waves in the probe of complex singlet extension to the Standard Model
• High Temperature Dimensional Reduction and Parity Violation
• Temperature Dependence of Standard Model CP Violation
• The High-Temperature Two-Loop Effective Potential of the Electroweak Theory in a General 't Hooft Background Gauge
• Inverse Symmetry Breaking with 4d Lattice Simulations
• Pseudo-Goldstone dark matter: gravitational waves and direct-detection blind spots
• Exotic Gravitational Wave Signatures from Simultaneous Phase Transitions
• Two-Step Electroweak Symmetry-Breaking: Theory Meets Experiment
• Gravitational waves from a holographic phase transition
• A Critical Look at the Electroweak Phase Transition
• Higgs sector CP-violation at the electroweak phase transition
• The Electro-Weak Phase Transition at Colliders: Confronting Theoretical Uncertainties and Complementary Channels
• Pressure of the Standard Model Near the Electroweak Phase Transition
• Computing the temperature dependence of effective CP violation in the standard model
• IBP methods at finite temperature
• SU(5)+Adjoint Higgs Model at Finite Temperature
• Comparison of 4d and 3d Lattice Results for the Electroweak Phase Transition
• Soft thermal contributions to 3-loop gauge coupling
• Mesonic screening masses at high temperature and finite density
• Dimensional Reduction of the Two-Higgs Doublet Model at High temperature
• The 3d Effective Field Theory for Finite Temperature Scalar Electrodynamics

Cited by in corpus (45)

• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Singlet-assisted electroweak phase transition at two loops
• Electroweak bubble wall expansion: gravitational waves and baryogenesis in Standard Model-like thermal plasma
• Conformal model for gravitational waves and dark matter: A status update
• Have pulsar timing array methods detected a cosmological phase transition?
• Gravitational waves from first-order phase transitions in LISA: reconstruction pipeline and physics interpretation
• The Scalar Singlet Extension of the Standard Model: Gravitational Waves versus Baryogenesis
• Ultra-relativistic bubbles from the simplest Higgs portal and their cosmological consequences
• Combining thermal resummation and gauge invariance for electroweak phase transition
• Fate of electroweak symmetry in the early Universe: Non-restoration and trapped vacua in the N2HDM
• How arbitrary are perturbative calculations of the electroweak phase transition?
• Electroweak Phase Transition in 2HDM under Higgs, Z-pole, and W precision measurements
• Gravitational waves from supercooled phase transitions: dimensional transmutation meets dimensional reduction
• Electroweak Phase Transition and Gravitational Waves in the Type-II Seesaw Model
• Multi-step phase transitions and gravitational waves in the inert doublet model
• Gravitational Wave Imprints of Left-Right Symmetric Model with Minimal Higgs Sector
• A new perspective on the electroweak phase transition in the Standard Model Effective Field Theory
• Strong electroweak phase transition in $t$-channel simplified dark matter models
• Stop comparing resummation methods
• First shot of the smoking gun: probing the electroweak phase transition in the 2HDM with novel searches for $A\to ZH$ in ${\ell }^{+}{\ell }^{-}t\bar{t}$ and $\nu \nu b\bar{b}$ final states
• Sensitivity to Dark Sector Scales from Gravitational Wave Signatures
• Electroweak Phase Transition in a Right-Handed Neutrino Superfield Extended NMSSM
• Electroweak phase transition in the nearly aligned Higgs effective field theory
• CDF II $W$-mass anomaly faces first-order electroweak phase transition
• Higher-dimensional operators at finite-temperature affect gravitational-wave predictions
• Electroweak Phase Transition with a Double Well Done Doubly Well
• Strongly first-order electroweak phase transition by relatively heavy additional Higgs bosons
• Discerning Singlet and Triplet scalars at the electroweak phase transition and Gravitational Wave
• A Strongly First-Order Electroweak Phase Transition from Loryons
• Prospecting bipartite Dark Matter through Gravitational Waves
• $\nu$ Electroweak Baryogenesis: The Scalar Singlet Strikes Back
• Electroweak phase transition triggered by fermion sector
• Shedding light on the electroweak phase transition from exotic Higgs boson decays at the lifetime frontiers
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• Gravitational wave signatures of first-order phase transition in two-component dark matter model
• Gravitational waves from supercooled phase transitions in conformal Majoron models of neutrino mass
• Exploring CP-violation in $Y=0$ inert triplet with real singlet
• Baryogenesis in a Parity Solution to the Strong CP Problem
• Computing singlet scalar freeze-out with plasmon and plasmino states
• Real effective potentials for phase transitions in models with extended scalar sectors
• Phase transition patterns for coupled complex scalar fields at finite temperature and density
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Hard thermal contributions to phase transition observables at NNLO
• Speed of sound in cosmological phase transitions and effect on gravitational waves
• Hot news on the phase structure of the SMEFT