Consistent Thermal Resummation and Phase Transitions with 2PI Methods

arXiv:2608.04102 · hep-ph, astro-ph.CO, hep-th · Submitted 2026-08-04 · Read on arXiv

Amitayus Banik, Kimmo Kainulainen

hep-ph, astro-ph.CO, hep-th

Submitted: 2026-08-04

Comments: 50 pages, 11 figures, 3 appendices (including the full calculation of the wave-function renormalization factors in the 2PI formalism with real mixing scalars)

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Phase Transitions — 36× in this paper · explained in 2 episodes
• Benchmark — 14× in this paper · explained in 2 episodes
• Standard Model — 7× in this paper
• Trace — 6× in this paper · explained in 2 episodes
• International Pulsar Timing Array — 3× in this paper
• Accuracy — 2× in this paper · explained in 1 episode
• First-Order Transition — 2× in this paper · explained in 2 episodes
• Laser Interferometer Space Antenna — 2× in this paper
• Regularization — 2× in this paper · explained in 3 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• National Research Foundation of Korea — 1× in this paper
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Electroweak baryogenesis
• Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO
• The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background
• Searching for continuous Gravitational Waves in the second data release of the International Pulsar Timing Array
• Detecting gravitational waves from cosmological phase transitions with LISA: an update
• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Gravitational Waves from Phase Transitions
• Laser Interferometer Space Antenna
• Basics of thermal field theory -- a tutorial on perturbative computations
• Cosmological phase transitions at three loops: the final verdict on perturbation theory
• Perturbative effective field theory expansions for cosmological phase transitions
• Thermal phase transition with full 2-loop effective potential
• On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
• Nonperturbative study of the electroweak phase transition in the real scalar singlet extended Standard Model
• Higher-order corrections to phase-transition parameters in dimensional reduction
• The High-Temperature Limit of the SM(EFT)
• Phase Transitions in Dimensional Reduction up to Three Loops
• Higher-dimensional operators at finite-temperature affect gravitational-wave predictions
• Two-loop effective potential, thermal resummation and first-order phase transitions: Beyond the high-temperature expansion
• Scale Invariant Resummed Perturbation at Finite Temperatures

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