PoS - Proceedings of Science
Volume 416 - Loops and Legs in Quantum Field Theory (LL2022) - Parallel 8
Renormalization of twist-two operators in QCD and its application to singlet splitting functions
T. Yang*, T. Gehrmann and A. von Manteuffel
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Published on: October 20, 2022
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.
DOI: https://doi.org/10.22323/1.416.0063
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