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Leading Twist-Two Gauge-Variant Counterterms

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arxiv 2409.10303 v1 pith:I3HMZULZ submitted 2024-09-16 hep-ph hep-th

Thomas Gehrmann , Andreas von Manteuffel , Tong-Zhi Yang This is my paper
classification hep-phhep-th
keywords gauge-variantoperatorstwist-twofunctionsanomalousapplycitecompute
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Alien operators for PDF evolution

    hep-ph 2025-09 unverdicted novelty 2.0 of 10

    This proceedings paper summarizes earlier results on all-spin couplings and Feynman rules for gauge-variant alien operators needed for four-loop QCD splitting functions.

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