Perturbative effective field theory expansions for cosmological phase transitions

Abstract Guided by previous non-perturbative lattice simulations of a two-step electroweak phase transition, we reformulate the perturbative analysis of equilibrium thermodynamics for generic cosmological phase transitions in terms of effective field theory (EFT) expansions. Based on thermal scale h...

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Main Authors: Oliver Gould, Tuomas V. I. Tenkanen
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2024)048
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author Oliver Gould
Tuomas V. I. Tenkanen
author_facet Oliver Gould
Tuomas V. I. Tenkanen
author_sort Oliver Gould
collection DOAJ
description Abstract Guided by previous non-perturbative lattice simulations of a two-step electroweak phase transition, we reformulate the perturbative analysis of equilibrium thermodynamics for generic cosmological phase transitions in terms of effective field theory (EFT) expansions. Based on thermal scale hierarchies, we argue that the scale of many interesting phase transitions is in-between the soft and ultrasoft energy scales, which have been the focus of studies utilising high-temperature dimensional reduction. The corresponding EFT expansions provide a handle to control the perturbative expansion, and allow us to avoid spurious infrared divergences, imaginary parts, gauge dependence and renormalisation scale dependence that have plagued previous studies. As a direct application, we present a novel approach to two-step electroweak phase transitions, by constructing separate effective descriptions for two consecutive transitions. Our approach provides simple expressions for effective potentials separately in different phases, a numerically inexpensive method to determine thermodynamics, and significantly improves agreement with the non-perturbative lattice simulations.
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spelling doaj.art-f08c572454a24c3f9dbfd323b6c3e58b2024-01-14T12:07:04ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024115410.1007/JHEP01(2024)048Perturbative effective field theory expansions for cosmological phase transitionsOliver Gould0Tuomas V. I. Tenkanen1School of Physics and Astronomy, University of NottinghamNordita, KTH Royal Institute of Technology and Stockholm UniversityAbstract Guided by previous non-perturbative lattice simulations of a two-step electroweak phase transition, we reformulate the perturbative analysis of equilibrium thermodynamics for generic cosmological phase transitions in terms of effective field theory (EFT) expansions. Based on thermal scale hierarchies, we argue that the scale of many interesting phase transitions is in-between the soft and ultrasoft energy scales, which have been the focus of studies utilising high-temperature dimensional reduction. The corresponding EFT expansions provide a handle to control the perturbative expansion, and allow us to avoid spurious infrared divergences, imaginary parts, gauge dependence and renormalisation scale dependence that have plagued previous studies. As a direct application, we present a novel approach to two-step electroweak phase transitions, by constructing separate effective descriptions for two consecutive transitions. Our approach provides simple expressions for effective potentials separately in different phases, a numerically inexpensive method to determine thermodynamics, and significantly improves agreement with the non-perturbative lattice simulations.https://doi.org/10.1007/JHEP01(2024)048Multi-Higgs ModelsPhase Transitions in the Early UniverseCosmology of Theories BSMEarly Universe Particle Physics
spellingShingle Oliver Gould
Tuomas V. I. Tenkanen
Perturbative effective field theory expansions for cosmological phase transitions
Journal of High Energy Physics
Multi-Higgs Models
Phase Transitions in the Early Universe
Cosmology of Theories BSM
Early Universe Particle Physics
title Perturbative effective field theory expansions for cosmological phase transitions
title_full Perturbative effective field theory expansions for cosmological phase transitions
title_fullStr Perturbative effective field theory expansions for cosmological phase transitions
title_full_unstemmed Perturbative effective field theory expansions for cosmological phase transitions
title_short Perturbative effective field theory expansions for cosmological phase transitions
title_sort perturbative effective field theory expansions for cosmological phase transitions
topic Multi-Higgs Models
Phase Transitions in the Early Universe
Cosmology of Theories BSM
Early Universe Particle Physics
url https://doi.org/10.1007/JHEP01(2024)048
work_keys_str_mv AT olivergould perturbativeeffectivefieldtheoryexpansionsforcosmologicalphasetransitions
AT tuomasvitenkanen perturbativeeffectivefieldtheoryexpansionsforcosmologicalphasetransitions