Symmetries of Hot SM, Magnetic Flux & Baryogenesis from Helicity Decay

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Auteurs principaux: Hamada, Yuta, Mukaida, Kyohei, Uchida, Fumio
Format: Preprint
Publié: 2025
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author Hamada, Yuta
Mukaida, Kyohei
Uchida, Fumio
author_facet Hamada, Yuta
Mukaida, Kyohei
Uchida, Fumio
contents We revisit the electroweak crossover of the Standard Model (SM) in the early Universe, focusing on the interplay between generalized global symmetries, magnetic flux dynamics, and baryogenesis. Employing the dimensionally reduced 3d effective field theory of the SM at high temperature, we identify the symmetry structure -- including higher-form and magnetic symmetries -- and analyze their spontaneous breaking patterns across the crossover. We further define a gauge-invariant mixing angle that interpolates between $\mathrm{U}(1)_Y$ and $\mathrm{U}(1)_\mathrm{em}$ magnetic fields. Based on this framework, we examine baryogenesis via decaying magnetic helicity and identify three key effects: the baryon asymmetry is modified by an $\mathcal{O}(1)$ factor due to (1) the gauge-invariant definition of the mixing angle and (2) the approximate conservation of the unconfined magnetic flux; (3) a novel non-perturbative process in the presence of magnetic flux, which has been overlooked in previous analyses. Our findings suggest that the previous estimation of baryon asymmetry from the magnetic helicity decay may have sizable uncertainties, and we caution against relying on it, calling for further investigation.
format Preprint
id arxiv_https___arxiv_org_abs_2507_01576
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symmetries of Hot SM, Magnetic Flux & Baryogenesis from Helicity Decay
Hamada, Yuta
Mukaida, Kyohei
Uchida, Fumio
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
We revisit the electroweak crossover of the Standard Model (SM) in the early Universe, focusing on the interplay between generalized global symmetries, magnetic flux dynamics, and baryogenesis. Employing the dimensionally reduced 3d effective field theory of the SM at high temperature, we identify the symmetry structure -- including higher-form and magnetic symmetries -- and analyze their spontaneous breaking patterns across the crossover. We further define a gauge-invariant mixing angle that interpolates between $\mathrm{U}(1)_Y$ and $\mathrm{U}(1)_\mathrm{em}$ magnetic fields. Based on this framework, we examine baryogenesis via decaying magnetic helicity and identify three key effects: the baryon asymmetry is modified by an $\mathcal{O}(1)$ factor due to (1) the gauge-invariant definition of the mixing angle and (2) the approximate conservation of the unconfined magnetic flux; (3) a novel non-perturbative process in the presence of magnetic flux, which has been overlooked in previous analyses. Our findings suggest that the previous estimation of baryon asymmetry from the magnetic helicity decay may have sizable uncertainties, and we caution against relying on it, calling for further investigation.
title Symmetries of Hot SM, Magnetic Flux & Baryogenesis from Helicity Decay
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2507.01576