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Renormalization of twist-two operators in QCD and its application to singlet splitting functions


Gehrmann, Thomas; von Manteuffel, Andreas; Yang, Tong-Zhi (2022). Renormalization of twist-two operators in QCD and its application to singlet splitting functions. In: Loops and Legs in Quantum Field Theory, Ettal, Germany, 25 April 2022 - 30 April 2022.

Abstract

Splitting functions govern the scale evolution of parton distribution functions. Through a Mellin transformation, they are related to anomalous dimensions of twist-two operators in the operator product expansion. We study off-shell operator matrix element, where the physical operators mix under renormalization with other gauge-variant operators of the same quantum numbers. We devise a new method to systematically extract the Feynman rules resulting from those operators without knowing the operators themselves. As a first application of the new approach, we independently reproduce the well-known three-loop singlet splitting functions obtained from computations of on-shell quantities.

Abstract

Splitting functions govern the scale evolution of parton distribution functions. Through a Mellin transformation, they are related to anomalous dimensions of twist-two operators in the operator product expansion. We study off-shell operator matrix element, where the physical operators mix under renormalization with other gauge-variant operators of the same quantum numbers. We devise a new method to systematically extract the Feynman rules resulting from those operators without knowing the operators themselves. As a first application of the new approach, we independently reproduce the well-known three-loop singlet splitting functions obtained from computations of on-shell quantities.

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Additional indexing

Item Type:Conference or Workshop Item (Paper), not_refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Health Sciences > Multidisciplinary
Language:English
Event End Date:30 April 2022
Deposited On:14 Feb 2023 16:41
Last Modified:12 Mar 2023 15:09
OA Status:Hybrid
Publisher DOI:https://doi.org/10.22323/1.416.0063
  • Content: Published Version
  • Language: English