Sphaleron rate in the symmetric electroweak phase

Abstract

Recently Bodeker has presented an effective infrared theory for the dynamics of Yang-Mills theory, suitable for studying the rate of baryon number violation in the early universe. We extend his theory to include Higgs fields, and study how much the Higgs affects the baryon number violation rate in the symmetric phase, at the phase coexistence temperature of a first order electroweak phase transition. The rate is about 20% smaller than in pure Yang-Mills theory. We also analyze the sphaleron rate in the analytic crossover regime. Our treatment relies on the ergodicity conjecture for 3-D scalar ${\varphi }^4$ theory.

23 pages including 4 figures, 2 appendices. Some derivations more careful and complete, conclusions unchanged

References in corpus (3)

• Chern-Simons Number Diffusion and Hard Thermal Loops on the Lattice
• An effective theory for omega << k << gT color dynamics in hot non-Abelian plasmas
• Divergences in Real-Time Classical Field Theories at Non-Zero Temperature

Cited by in corpus (82)

• Leptogenesis
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Matter and Antimatter in the Universe
• The Sphaleron Rate in the Minimal Standard Model
• Baryogenesis in the Two-Higgs Doublet Model
• Improved Results in Supersymmetric Electroweak Baryogenesis
• Supersymmetric CP-violating Currents and Electroweak Baryogenesis
• Baryogenesis from the weak scale to the grand unification scale
• Phase transitions in the early universe
• The Baryon asymmetry in the Standard Model with a low cut-off
• Quantum Transport and Electroweak Baryogenesis
• Physics searches at the LHC
• Electroweak Baryogenesis and New TeV Fermions
• Resonant Relaxation in Electroweak Baryogenesis
• Dark Matter, Light Stops and Electroweak Baryogenesis
• Impact of a complex singlet: From dark matter to baryogenesis
• Electroweak Bubble Nucleation, Nonperturbatively
• The art of simulating the early Universe -- Part I
• The Supersymmetric Origin of Matter
• Two Higgs doublet dynamics at the electroweak phase transition: a non-perturbative study
• Baryon and lepton number violation rates across the electroweak crossover
• Top transport in electroweak baryogenesis
• Electroweak Beautygenesis: From b {\to} s CP-violation to the Cosmic Baryon Asymmetry
• The Sphaleron Rate through the Electroweak Cross-over
• Yukawa and Tri-scalar Processes in Electroweak Baryogenesis
• Why is there more matter than antimatter? Calculational methods for leptogenesis and electroweak baryogenesis
• First-order electroweak phase transitions: a nonperturbative update
• The role of leptons in electroweak baryogenesis
• Lepton-Flavored Electroweak Baryogenesis
• Effective field theory, electric dipole moments and electroweak baryogenesis
• Wall speed and shape in singlet-assisted strong electroweak phase transitions
• Electroweak baryogenesis in aligned two Higgs doublet models
• Spectator Effects during Leptogenesis in the Strong Washout Regime
• Lattice implementation of Abelian gauge theories with Chern-Simons number and an axion field
• Real-time Chern-Simons term for hypermagnetic fields
• Bubble wall velocity during electroweak phase transition in the inert doublet model
• Electroweak Baryogenesis, CDM and Anomaly-free Supersymmetric U(1)-prime Models
• Gravitational Waves, Bubble Profile, and Baryon Asymmetry in the Complex 2HDM
• A model for leptogenesis at the TeV scale
• New benchmark scenarios of electroweak baryogenesis in aligned two Higgs double models
• Electroweak baryogenesis in the Z3-invariant NMSSM
• Sphaleron relaxation temperatures
• Generation of baryon inhomogeneities in the electroweak phase transition
• Chiral charge dynamics in Abelian gauge theories at finite temperature
• Electroweak Baryogenesis with Vector-like Leptons and Scalar Singlets
• Hidden Sector Baryogenesis
• Late Reheating, Hadronic Jets and Baryogenesis
• Effect of reheating on electroweak baryogenesis
• Baryogenesis within the two-Higgs-doublet model in the Electroweak scale
• Axion dark matter from frictional misalignment
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Perturbative and non-perturbative aspects of the non-abelian Boltzmann-Langevin equation
• Baryogenesis via Mesino Oscillations
• A local Langevin equation for slow long-distance modes of hot non-Abelian gauge fields
• Minimal Asymmetric Dark Matter
• Beyond fast rate approximations: General analytic solutions to coupled transport equations during cosmic phase transitions
• Electroweak Sphaleron in a Magnetic field
• CPT-odd Leptogenesis
• Analytic Techniques for Solving the Transport Equations in Electroweak Baryogenesis
• Fireball baryogenesis from early structure formation due to Yukawa forces
• Baryogenesis with Superheavy Squarks
• Flavor-dependent CP violation and electroweak baryogenesis in supersymmetric theories
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Embedded Domain Walls and Electroweak Baryogenesis
• Real-Time Nucleation and Off-Equilibrium Effects in High-Temperature Quantum Field Theories
• CP violation and baryogenesis
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• A New Era of Leptogenesis
• Hierarchy from Baryogenesis
• Dissipative Genesis of the Inflationary Universe
• Dissipative Emergence of Inflation from Quasi-Cyclic Universe
• Soft contributions to the thermal Higgs width across an electroweak phase transition
• Flow-based Nonperturbative Simulation of First-order Phase Transitions
• The Sphaleron Rate at the Electroweak Crossover
• Can the Standard Model CP violation near the W-bags explain the cosmological baryonic asymmetry?
• Experimental and Theoretical Evidence for Extended Particle Models
• Probing Physics in the Standard Model and Beyond with Electroweak Baryogenesis and Effective Theories of the Strong Interactions
• Baryogenesis in Brans-Dicke theory
• Leptogenesis in the $\mu \tau$ basis
• Black Holes and Baryon Number Violation: Unveiling the Origins of Early Galaxies and the Low-Mass Gap
• Canadian Contributions to the Search for Neutrinoless Double Beta Decay
• Geometric Baryogenesis with Chiral-Time Equivalence