Four-loop two-mass tadpoles and the $\rho$ parameter

We calculate four-loop QCD corrections to the electroweak $\rho$ parameter with a non-vanishing $b$ quark mass. At three loops, it was observed that elliptic integrals contribute to this observable. This prompts the question of which classes of functions appear at the next order. We report on the status of our calculation with a focus on the mathematical structures that emerge at four loops.

Authors

Samuel Abreu (ORCID: https://orcid.org/0000-0002-5966-2012)
Ben Page (ORCID: https://orcid.org/0000-0001-7147-501X)
Arnd Behring (ORCID: https://orcid.org/0000-0002-9092-0841)
Andrew J. McLeod (ORCID: https://orcid.org/0000-0001-7685-2929)

Institutions

Ghent University (BE)
European Organization for Nuclear Research (CH)
University of Edinburgh (GB)

Publication Details

Published: 2024-09-17
DOI: https://doi.org/10.22323/1.467.0008
Citations: 2
Primary Topic: Particle physics theoretical and experimental studies
Type: article
Field-Weighted Citation Impact: 1.32

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article

Four-loop two-mass tadpoles and the $\rho$ parameter

Samuel Abreu, Ben Page, Arnd Behring, Andrew J. McLeod

Sep 17, 2024

2 citations

Particle physics theoretical and experimental studies

1.32

article

Four-loop two-mass tadpoles and the $\rho$ parameter

Samuel Abreu, Ben Page, Arnd Behring, Andrew J. McLeod

September 17, 2024article en

2 citations

Abstract

We calculate four-loop QCD corrections to the electroweak $\rho$ parameter with a non-vanishing $b$ quark mass. At three loops, it was observed that elliptic integrals contribute to this observable. This prompts the question of which classes of functions appear at the next order. We report on the status of our calculation with a focus on the mathematical structures that emerge at four loops.

Ghent University (BE), European Organization for Nuclear Research (CH), University of Edinburgh (GB)

Openalex Percentile: Top 11%

Particle physics theoretical and experimental studies

1.32

DOI Open Access PDF OpenAlex

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