Cosmological phase transitions at three loops: the final verdict on perturbation theory

Fuente: arXiv
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Autores principales: Ekstedt, Andreas, Schicho, Philipp, Tenkanen, Tuomas V. I.
Formato: Preprint
Publicado: 2024
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author Ekstedt, Andreas
Schicho, Philipp
Tenkanen, Tuomas V. I.
author_facet Ekstedt, Andreas
Schicho, Philipp
Tenkanen, Tuomas V. I.
contents We complete the perturbative program for equilibrium thermodynamics of cosmological first-order phase transitions by determining the finite-temperature effective potential of gauge-Higgs theories at next-to-next-to-next-to-next-to-leading order (N$^4$LO). The computation of the three-loop effective potential required to reach this order is extended to generic models in dimensionally reduced effective theories in a companion article. Our N$^4$LO result is the last perturbative order before confinement renders electroweak gauge-Higgs theories non-perturbative at four loops. By contrasting our analysis with non-perturbative lattice results, we find a remarkable agreement. As a direct application for predictions of gravitational waves produced by a first-order transition, our computation provides the final fully perturbative results for the phase transition strength and speed of sound.
format Preprint
id arxiv_https___arxiv_org_abs_2405_18349
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cosmological phase transitions at three loops: the final verdict on perturbation theory
Ekstedt, Andreas
Schicho, Philipp
Tenkanen, Tuomas V. I.
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
We complete the perturbative program for equilibrium thermodynamics of cosmological first-order phase transitions by determining the finite-temperature effective potential of gauge-Higgs theories at next-to-next-to-next-to-next-to-leading order (N$^4$LO). The computation of the three-loop effective potential required to reach this order is extended to generic models in dimensionally reduced effective theories in a companion article. Our N$^4$LO result is the last perturbative order before confinement renders electroweak gauge-Higgs theories non-perturbative at four loops. By contrasting our analysis with non-perturbative lattice results, we find a remarkable agreement. As a direct application for predictions of gravitational waves produced by a first-order transition, our computation provides the final fully perturbative results for the phase transition strength and speed of sound.
title Cosmological phase transitions at three loops: the final verdict on perturbation theory
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2405.18349