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arXiv · 2405.18349

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

Andreas Ekstedt·Philipp Schicho·Tuomas V. I. Tenkanen
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Abstract

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.

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Andreas Ekstedt, Philipp Schicho, Tuomas V. I. Tenkanen. 2024-05-28. Cosmological phase transitions at three loops: the final verdict on perturbation theory. https://arxiv.org/abs/2405.18349

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