Thomas Gehrmann, Andreas von Manteuffel, Tong-Zhi Yang
{"title":"Leading Twist-Two Gauge-Variant Counterterms","authors":"Thomas Gehrmann, Andreas von Manteuffel, Tong-Zhi Yang","doi":"arxiv-2409.10303","DOIUrl":null,"url":null,"abstract":"Anomalous dimensions of twist-two operators govern the scale evolution of\nparton distribution functions. For off-shell external states, the physical\ntwist-two operators mix with unknown gauge-variant operators under\nrenormalization. In this talk, we apply the method proposed by us\nin~\\cite{Gehrmann:2023ksf} to compute all gauge-variant one-loop counterterm\nFeynman rules with five legs, which enter the determination of the four-loop\nsplitting functions in QCD.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - High Energy Physics - Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10303","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.