Combining thermal resummation and gauge invariance for electroweak phase transition

Abstract

For computing thermodynamics of the electroweak phase transition, we discuss a minimal approach that reconciles both gauge invariance and thermal resummation. Such a minimal setup consists of a two-loop dimensional reduction to three-dimensional effective theory, a one-loop computation of the effective potential and its expansion around the leading-order minima within the effective theory. This approach is tractable and provides formulae for resummation that are arguably no more complicated than those that appear in standard techniques ubiquitous in the literature. In particular, we implement renormalisation group improvement related to the hard thermal scale. Despite its generic nature, we present this approach for the complex singlet extension of the Standard Model which has interesting prospects for high energy collider phenomenology and dark matter predictions. The presented expressions can be used in future studies of phase transition thermodynamics and gravitational wave production.

arXiv comment38 pages, 5 figures, no gauge dependence

References in corpus (107)

• The Minimal Model of Nonbaryonic Dark Matter: A Singlet Scalar
• 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
• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• 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
• 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)
• Resummation in a Hot Scalar Field Theory
• Complex Singlet Extension of the Standard Model
• 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
• Testing Electroweak Baryogenesis with Future Colliders
• A Non-Perturbative Analysis of the Finite T Phase Transition in SU(2)xU(1) Electroweak Theory
• Dynamics of Non-renormalizable Electroweak Symmetry Breaking
• Singlet-Catalyzed Electroweak Phase Transitions and Precision Higgs Studies
• The Standard Model cross-over on the lattice
• Electroweak Phase Transition in Two Higgs Doublet Models
• Theoretical uncertainties for cosmological first-order phase transitions
• Electroweak baryogenesis and gravitational waves from a real scalar singlet
• Novel Effects in Electroweak Breaking from a Hidden Sector
• Complex Scalar Singlet Dark Matter: Vacuum Stability and Phenomenology
• Gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis
• The Electroweak Phase Transition in a Nonminimal Supersymmetric Model
• Strong First Order Electroweak Phase Transition in the CP-Conserving 2HDM Revisited
• A Second Higgs Doublet in the Early Universe: Baryogenesis and Gravitational Waves
• A strong electroweak phase transition in the 2HDM after LHC8
• Some Cosmological Implications of Hidden Sectors
• 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
• Probing the Electroweak Phase Transition with Higgs Factories and Gravitational Waves
• Probing the Higgs Portal at the LHC Through Resonant di-Higgs Production
• Higgs Self-Coupling as a Probe of Electroweak Phase Transition
• On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
• Inert Dark Matter and Strong Electroweak Phase Transition
• Dynamics of Electroweak Phase Transition In Singlet-Scalar Extension of the Standard Model
• 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
• Standard Model thermodynamics across the electroweak crossover
• Dark Matter as the Trigger of Strong Electroweak Phase Transition
• Impact of a complex singlet: From dark matter to baryogenesis
• The Electroweak Phase Transition: A Collider Target
• The CP-Violating 2HDM in Light of a Strong First Order Electroweak Phase Transition and Implications for Higgs Pair Production
• Gravitational waves and electroweak baryogenesis in a global study of the extended scalar singlet model
• On the gauge dependence of vacuum transitions at finite temperature
• Singlet-assisted electroweak phase transition at two loops
• Cosmological Phase Transitions and their Properties in the NMSSM
• BSMPT - Beyond the Standard Model Phase Transitions -A Tool for the Electroweak Phase Transition in Extended Higgs Sectors
• Phase Transition Temperatures at Next-to-Leading Order
• MSSM Electroweak Baryogenesis and LHC Data
• 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
• Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories
• The Higgs Vacuum Uplifted: Revisiting the Electroweak Phase Transition with a Second Higgs Doublet
• Feynman Diagrams to Three Loops in Three Dimensional Field Theory
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Electroweak phase transition in the $\Sigma$SM - I: Dimensional reduction
• Lattice-continuum relations for 3d SU(N)+Higgs theories
• Two-Step Electroweak Baryogenesis
• Electroweak phase transition with spontaneous $Z_2$-breaking
• Robust approach to thermal resummation: Standard Model meets a singlet
• Dimensional reduction of the Standard Model coupled to a new singlet scalar field
• Gauge Dependence of the High-Temperature 2-Loop Effective Potential for the Higgs Field
• Gravitational wave and collider probes of a triplet Higgs sector with a low cutoff
• Effective field theory approach to thermal bubble nucleation
• Electroweak Phase Transition in the munuSSM
• Thermal phase transition with full 2-loop effective potential
• Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches
• New Insights of Electroweak Phase Transition in NMSSM
• BSMPT v2 A Tool for the Electroweak Phase Transition and the Baryon Asymmetry of the Universe in Extended Higgs Sectors
• Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory
• A Hierarchy of Effective Field Theories of Hot Electroweak Matter
• Phase Transitions in the NMSSM
• Three-dimensional effective theories for the two Higgs doublet model at high temperature
• Strong first-order phase transitions in the NMSSM --- a comprehensive survey
• Two-loop dimensional reduction and effective potential without temperature expansions
• PhaseTracer: tracing cosmological phases and calculating transition properties
• Dynamical Axions and Gravitational Waves
• Electroweak phase transition in a nonminimal supersymmetric model
• Pressure of the Standard Model at High Temperatures
• Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature
• First-order electroweak phase transition in a complex singlet model with ${\mathbb{Z}}_3$ symmetry
• Real scalar phase transitions: a nonperturbative analysis
• Electroweak baryogenesis and gravitational waves in a composite Higgs model with high dimensional fermion representations
• Resummation Methods at Finite Temperature: The Tadpole Way
• Color Breaking in the Early Universe
• Complementarity of the future $e^{+}{e}^{-}$ colliders and gravitational waves in the probe of complex singlet extension to the Standard Model
• The High-Temperature Two-Loop Effective Potential of the Electroweak Theory in a General 't Hooft Background Gauge
• Radiative first-order phase transitions to next-to-next-to-leading order
• Two-Step Electroweak Symmetry-Breaking: Theory Meets Experiment
• Bubble Nucleation to All Orders
• A Critical Look 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
• Electroweak phase transition in a complex singlet extension of the Standard Model with degenerate scalars
• First order electroweak phase transition triggered by the Higgs portal vector dark matter
• Strong electroweak phase transition in $t$-channel simplified dark matter models
• The Electro-Weak Phase Transition at Colliders: Discovery Post-Mortem

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• 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
• How arbitrary are perturbative calculations of the electroweak phase transition?
• The trap in the early Universe: impact on the interplay between gravitational waves and LHC physics in the 2HDM
• Gravitational waves from supercooled phase transitions: dimensional transmutation meets dimensional reduction
• Bubble wall velocity during electroweak phase transition in the inert doublet model
• Electroweak Phase Transition and Gravitational Waves in the Type-II Seesaw Model
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• 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
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• Electroweak Asymmetric Early Universe via a Scalar Condensate
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• Gravitational waves and tadpole resummation: Efficient and easy convergence of finite temperature QFT
• $\nu$ Electroweak Baryogenesis: The Scalar Singlet Strikes Back
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Interpreting the 95 GeV resonance in the Two Higgs Doublet Model: Implications for the Electroweak Phase Transition
• Gravitational wave signals from leptoquark-induced first order electroweak phase transitions
• Gravitational waves from supercooled phase transitions in conformal Majoron models of neutrino mass
• Baryogenesis in a Parity Solution to the Strong CP Problem
• Running Couplings in High-Temperature Effective Field Theory
• Hard thermal contributions to phase transition observables at NNLO
• A Catalog of First-Order Electroweak Phase Transitions in the Standard Model Effective Field Theory
• Hot news on the phase structure of the SMEFT