Leading fermionic three-loop corrections to electroweak precision observables

A bstract Future electron-position colliders, such as the CEPC, FCC-ee, and ILC have the capability to dramatically improve the experimental precision for W and Z-boson masses and couplings. This would enable indirect probes of physics beyond the Standard Model at multi-TeV scales. For this purpose,...

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Bibliographic Details
Published in:The journal of high energy physics 2020-07, Vol.2020 (7), p.1-16, Article 210
Main Authors: Chen, Lisong, Freitas, Ayres
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quark Masses and SM Parameters
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
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Summary:A bstract Future electron-position colliders, such as the CEPC, FCC-ee, and ILC have the capability to dramatically improve the experimental precision for W and Z-boson masses and couplings. This would enable indirect probes of physics beyond the Standard Model at multi-TeV scales. For this purpose, one must complement the experimental measurements with equally precise calculations for the theoretical predictions of these quantities within the Standard Model, including three-loop electroweak corrections. This article reports on the calculation of a subset of these corrections, stemming from diagrams with three closed fermion loops to the following quantities: the prediction of the W-boson mass from the Fermi constant, the effective weak mixing angle, and partial and total widths of the Z boson. The numerical size of these corrections is relatively modest, but non-negligible compared to the precision targets of future colliders. In passing, an error is identified in previous results for the two-loop corrections to the Z width, with a small yet non-zero numerical impact.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2020)210