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Main Authors: Li, Xu-Xiang, Ramsey-Musolf, Michael J., Tenkanen, Tuomas V. I., Wu, Yanda
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.01585
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author Li, Xu-Xiang
Ramsey-Musolf, Michael J.
Tenkanen, Tuomas V. I.
Wu, Yanda
author_facet Li, Xu-Xiang
Ramsey-Musolf, Michael J.
Tenkanen, Tuomas V. I.
Wu, Yanda
contents Using thermal effective field theory, we present a self-consistent perturbative formulation of the Higgs phase sphaleron rate after a radiatively-induced first-order phase transition. This gauge-invariant formulation is based on dimensionally reduced effective field theory (3D EFT) at high temperatures and paves a way for including higher order corrections within the 3D EFT perturbation theory without double counting. Concretely, we compute the Higgs phase sphaleron rate in a semi-classical approximation within the two-loop resummed 3D EFT. We find compact results for the sphaleron rate and the baryon washout factor as well as criteria for the baryon number preservation by providing a clear connection to the results obtained using a similar 3D EFT description for the bubble nucleation. We demonstrate these calculations for the real triplet-extended Standard Model, and conclude that when all two-loop thermal effects for the matching are accounted, no sufficiently strong one-step electroweak phase transitions exist within the parameter space regime that can be mapped onto the 3D EFT we have considered.
format Preprint
id arxiv_https___arxiv_org_abs_2506_01585
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Effective Sphaleron Awakens
Li, Xu-Xiang
Ramsey-Musolf, Michael J.
Tenkanen, Tuomas V. I.
Wu, Yanda
High Energy Physics - Phenomenology
Using thermal effective field theory, we present a self-consistent perturbative formulation of the Higgs phase sphaleron rate after a radiatively-induced first-order phase transition. This gauge-invariant formulation is based on dimensionally reduced effective field theory (3D EFT) at high temperatures and paves a way for including higher order corrections within the 3D EFT perturbation theory without double counting. Concretely, we compute the Higgs phase sphaleron rate in a semi-classical approximation within the two-loop resummed 3D EFT. We find compact results for the sphaleron rate and the baryon washout factor as well as criteria for the baryon number preservation by providing a clear connection to the results obtained using a similar 3D EFT description for the bubble nucleation. We demonstrate these calculations for the real triplet-extended Standard Model, and conclude that when all two-loop thermal effects for the matching are accounted, no sufficiently strong one-step electroweak phase transitions exist within the parameter space regime that can be mapped onto the 3D EFT we have considered.
title An Effective Sphaleron Awakens
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.01585