Convergence of the nucleation rate for first-order phase transitions

Abstract

This paper investigates the importance of radiative corrections for first-order phase transitions, with particular focus on the bubble-nucleation rate. All calculations are done with a strict power-counting, and observables are consistently calculated at every order. This ensures that physical quantities are gauge and renormalization-scale invariant. Furthermore, to avoid large logarithms at high-temperatures, an effective three-dimensional theory is used. This effective theory automatically incorporates higher-order thermal masses. The results of this paper indicate that sub-leading corrections to the rate can be large. This is partly because radiative corrections are enhanced for large bubbles. To illustrate the calculations, three models are considered: a real-scalar model, a radiative-barrier model, and a model with an effective dimension $6$ operator. Relevant observables are calculated for each model, and the reliability of perturbation theory is discussed.

arXiv comment6 pages, 3 figures

References in corpus (34)

• The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
• Detecting gravitational waves from cosmological phase transitions with LISA: an update
• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• Taiji Program: Gravitational-Wave Sources
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Towards the Theory of Cosmological Phase Transitions
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• 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
• AEDGE: Atomic Experiment for Dark Matter and Gravity Exploration in Space
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• The universality class of the electroweak theory
• Theoretical uncertainties for cosmological first-order phase transitions
• Electroweak baryogenesis and gravitational waves from a real scalar singlet
• Where the electroweak phase transition ends
• The Electroweak Phase Transition: A Collider Target
• Electroweak Bubble Nucleation, Nonperturbatively
• Model-independent energy budget for LISA
• Beyond the thin-wall approximation : precise numerical computation of prefactors in false vacuum decay
• Singlet-assisted electroweak phase transition at two loops
• Nonperturbative analysis of the gravitational waves from a first-order electroweak phase transition
• On the perturbative expansion at high temperature and implications for cosmological phase transitions
• Vacuum Decay in Theories with Symmetry Breaking by Radiative Corrections
• One-Loop Corrections to Bubble Nucleation Rate at Finite Temperature
• Gauge Dependence of the High-Temperature 2-Loop Effective Potential for the Higgs Field
• Effective field theory approach to thermal bubble nucleation
• Computing the gauge-invariant bubble nucleation rate in finite temperature effective field theory
• Gauge Invariant Treatment of the Electroweak Phase Transition
• The Benefits of Diligence: How Precise are Predicted Gravitational Wave Spectra in Models with Phase Transitions?
• Higher-Order Corrections to the Bubble-Nucleation Rate at Finite Temperature
• The 2-Loop Effective Potential of the 3d SU(2)-Higgs Model in a General Covariant Gauge
• Two-Step Electroweak Symmetry-Breaking: Theory Meets Experiment
• Radiative first-order phase transitions to next-to-next-to-leading order
• A Critical Look at the Electroweak Phase Transition

Cited by in corpus (13)

• First-order electroweak phase transitions: a nonperturbative update
• How arbitrary are perturbative calculations of the electroweak phase transition?
• Stop comparing resummation methods
• Higher-dimensional operators at finite-temperature affect gravitational-wave predictions
• A nonperturbative test of nucleation calculations for strong phase transitions
• Thermodynamical uncertainties for primordial black holes from cosmological phase transitions
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Bubble-wall speed with loop corrections
• Real-Time Nucleation and Off-Equilibrium Effects in High-Temperature Quantum Field Theories
• Non-perturbative determination of the sphaleron rate for first-order phase transitions
• Hot news on the phase structure of the SMEFT
• Hard thermal contributions to phase transition observables at NNLO
• A Catalog of First-Order Electroweak Phase Transitions in the Standard Model Effective Field Theory