Crewther’s relation in different schemes

Mason, RH ORCID: 0000-0002-2024-0381 and Gracey, JA ORCID: 0000-0002-9101-2853 (2024) Crewther’s relation in different schemes In: 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology, 2023-5-28 - ?.

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Abstract

We examine Crewther’s relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated by ensuring that the conformal properties of the relation are preserved at all the critical points of QCD, including the Banks-Zaks and its infra-red stable twin, we demonstrate the necessity of an additional term in the relation for describing gauge running in the minimal momentum subtraction scheme (mMOM) and argue for its inclusion for all gauge-parameter dependent schemes.

Item Type:	Conference Item (Unspecified)
Depositing User:	Symplectic Admin
Date Deposited:	08 Aug 2024 13:20
Last Modified:	21 Jan 2026 20:42
DOI:	10.22323/1.432.0104
Open Access URL:	https://pos.sissa.it/432/104/
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3183459
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