Thomas Gehrmann, Andreas von Manteuffel, Tong-Zhi Yang
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Anomalous dimensions of twist-two operators govern the scale evolution of
parton distribution functions. For off-shell external states, the physical
twist-two operators mix with unknown gauge-variant operators under
renormalization. In this talk, we apply the method proposed by us
in~\cite{Gehrmann:2023ksf} to compute all gauge-variant one-loop counterterm
Feynman rules with five legs, which enter the determination of the four-loop
splitting functions in QCD.