The weak electroweak phase transition

Abstract

We present a detailed analysis of the phase transition in the standard model at finite temperature. Using an improved perturbation theory, where plasma masses are determined from a set of one-loop gap equations, we evaluate the effective potential $V_{eff}(\phi ,T)$ in next-to-leading order, i.e., including terms cubic in the gauge coupling $g$, the scalar self-coupling ${\lambda }^{1/2}$ and the top-quark Yukawa coupling $f_t$. The gap equations yield a non-vanishing magnetic plasma mass for the gauge bosons, originating from the non-abelian self-interactions. We discuss in detail size and origin of higher order effects and conclude that the phase transition is weakly first-order up to Higgs masses of about $70GeV$, above which our calculation is no longer self-consistent. For larger Higgs masses even an approximation containing all $g^4$ contributions to $V_{eff}$ is not sufficient, at least a full calculation to order $g^6$ is needed. These results turn out to be rather insensitive to the top-quark mass in the range $m_t=100-180GeV$. Using Langer's theory of metastability we calculate the nucleation rate of critical droplets and discuss some aspects of the cosmological electroweak phase transition.

LaTeX, 45 pages, 13 figures [not included, can be sent upon request],DESY 93-021

Cited by in corpus (93)

• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Endpoint of the hot electroweak phase transition
• Flavour physics of leptons and dipole moments
• Opening the Window for Electroweak Baryogenesis
• Screened Perturbation Theory
• Theoretical uncertainties for cosmological first-order phase transitions
• Electroweak Baryogenesis and Higgs and Stop Searches at LEP and the Tevatron
• Electroweak baryogenesis and low energy supersymmetry
• The Baryogenesis Window in the MSSM
• A light stop and electroweak baryogenesis
• Non-local Electroweak Baryogenesis Part I : Thin Wall Regime
• Simulating the Electroweak Phase Transition in the SU(2) Higgs Model
• Phase Structure and Phase Transition of the SU(2) Higgs Model in Three Dimensions
• Electroweak Baryogenesis and New TeV Fermions
• Finite Temperature Effective Potential to Order $g^4,\la^2$ and the Electroweak Phase Transition
• Bubbles in the supersymmetric standard model
• The baryogenesis window in the MSSM
• On the gauge dependence of vacuum transitions at finite temperature
• Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories
• The More Relaxed Supersymmetric Electroweak Baryogenesis
• Bosonic Thermal Masses in Supersymmetry
• Robust approach to thermal resummation: Standard Model meets a singlet
• Supersymmetric electroweak baryogenesis, nonequilibrium field theory and quantum Boltzmann equations
• Effective field theory approach to thermal bubble nucleation
• The Gluon Propagator at High Temperature
• Nonequilibrium dynamics: a renormalized computation scheme
• THERMODYNAMICS OF THE ELECTROWEAK PHASE TRANSITION
• Gauge Boson Masses in the 3-d, SU(2) Gauge-Higgs Model
• Magnetic Screening in the High Temperature Phase of the Standard Model
• A Consistent Calculation of Bubble-Nucleation Rates
• BubbleDet: A Python package to compute functional determinants for bubble nucleation
• Sphalerons in the MSSM
• Four Zero Neutrino Yukawa Textures in the Minimal Seesaw Framework
• Screening Masses of Hot SU(2) Gauge Theory from the 3d Adjoint Higgs Model
• Equation of state and coarse grained free energy for matrix models
• 3-D lattice simulation of the electroweak phase transition at small Higgs mass
• 3--Dimensional Lattice Studies of the Electroweak Phase Transition at M_{Higgs} approx 70 GeV
• The Electroweak Phase Transition through the Renormalization Group
• Electroweak Baryogenesis with a Pseudo-Goldstone Higgs
• Numerical tests of the electroweak phase transition and thermodynamics of the electroweak plasma
• Vacuum decay in quantum field theory
• Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature
• Wilson Renormalization Group formulation of Real Time thermal field theories
• On One-Loop Gap Equations for the Magnetic Mass in d=3 Gauge Theory
• Interface Tension of the Electroweak Phase Transition
• High Temperature Phase Transition in Two-Scalar Theories
• The High-Temperature Two-Loop Effective Potential of the Electroweak Theory in a General 't Hooft Background Gauge
• Magnetic Fields at First Order Phase Transition: A Threat to Electroweak Baryogenesis
• Effective Scalar Field Theory for the Electroweak Phase Transition
• Electroweak Phase Transition in the MSSM: 4-Dimensional Lattice Simulations
• Electroweak baryogenesis and the Higgs and stop masses
• Bound States in the Hot Electroweak Phase
• Bubble-nucleation rates for radiatively induced first-order phase transitions
• Amplification of hypercharge electromagnetic fields by a cosmological pseudoscalar
• String Tension and Chern-Simons Fluctuations in the Vortex Vacuum of d=3 Gauge Theory
• Broken phase effective potential in the two-loop Phi-derivable approximation and nature of the phase transition in a scalar theory
• Self-consistent treatment of bubble nucleation at the electroweak phase transition
• CP-Violation and Baryogenesis in The Low Energy Minimal Supersymmetric Standard Model
• Particle Currents on a CP Violating Higgs Background and the Spontaneous Baryogenesis Mechanism
• The Light Stop Scenario from Gauge Mediation
• Renormalization and resummation in finite temperature field theories
• A New Gauge for Computing Effective Potentials in Spontaneously Broken Gauge Theories
• Particle Currents in a Space-Time dependent and CP-violating Higgs Background: a Field Theory Approach
• The strength of the electroweak phase transition at $m_H\approx$ 80 GeV
• Baryogenesis via Mesino Oscillations
• Electroweak Phase Transitions
• The Plasmon Damping Rate for T -> T_C
• The self-consistent bounce: an improved nucleation rate
• The SU(2)-Higgs model on asymmetric lattices
• Where does the hot electroweak phase transition end?
• On the scaling of the electroweak interface tension at finite temperature
• Fermionic fluctuation corrections to bubble nucleation
• Perturbative and non-perturbative studies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings
• Electroweak phase transition by four dimensional simulations
• Sphaleron Effects Near the Critical Temperature
• The electroweak phase transition: a non-perturbative lattice investigation
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Renormalization in momentum dependent resummations
• Generating Non-topological Solitons Via Thermal Corrections: Higgs Balls
• Comparison of Renormalization-Group and Lattice Studies of the Electroweak Phase Transition
• Subcritical Fluctuations at the Electroweak Phase Transition
• Static Potential in the SU(2)-Higgs Model and Coupling Constant Definitions in Lattice and Continuum Models
• $3$--Dimensional Approach to Hot Electroweak Matter for $M_{Higgs}\le 70$ GeV
• Real effective potentials for phase transitions in models with extended scalar sectors
• Structures of the Massive Vector Boson Propagators at Finite Temperature Illuminated by the Goldstone Equivalence Gauge
• Magnetic mass effect on the sphaleron energy
• SUBCRITICAL BUBBLES NEAR THE PHASE SPACE DOMAIN WALL
• Thermal variational principle and gauge fields
• Neutrino Physics and CP violation
• Dimensional Reduction and Non-perturbative generation of magnetic mass in non-abelian gauge theory at finite temperature
• Effective Scalar Theory of the Electroweak Phase Transition