Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents

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Auteurs principaux: Stadlbauer, Michael, Theil, Tobias
Format: Preprint
Publié: 2024
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author Stadlbauer, Michael
Theil, Tobias
author_facet Stadlbauer, Michael
Theil, Tobias
contents We study the infrared structure of the Standard Model (SM) restricted to the first generation of fermions, including the full SM gauge group, up to three-loop order, and determine the resulting cusp and collinear anomalous dimensions for all gauge groups and particles of the theory. We observe that starting from three loops, the resulting cusp anomalous dimensions include terms involving two distinct couplings, contrary to previous claims in the literature. We give a detailed explanation of this observation and explore the origin of these terms. We provide a supplementary file where all infrared anomalous dimensions calculated in this work are collected. Our results are consistent with the existing literature wherever comparisons are possible.
format Preprint
id arxiv_https___arxiv_org_abs_2409_15422
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents
Stadlbauer, Michael
Theil, Tobias
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study the infrared structure of the Standard Model (SM) restricted to the first generation of fermions, including the full SM gauge group, up to three-loop order, and determine the resulting cusp and collinear anomalous dimensions for all gauge groups and particles of the theory. We observe that starting from three loops, the resulting cusp anomalous dimensions include terms involving two distinct couplings, contrary to previous claims in the literature. We give a detailed explanation of this observation and explore the origin of these terms. We provide a supplementary file where all infrared anomalous dimensions calculated in this work are collected. Our results are consistent with the existing literature wherever comparisons are possible.
title Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2409.15422