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SUMMARY:The Four-Loop Non-Singlet Splitting Functions in QCD
DTSTART:20260615T121500Z
DTEND:20260615T141500Z
DTSTAMP:20260611T064500Z
UID:indico-event-1627@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Vasily Sotnikov\n\nParton distribution functions (PD
 Fs) are a cornerstone of theoretical predictions for high-energy proton co
 llisions. Their precise determination is essential for fully exploiting th
 e LHC's potential as a precision machine\, particularly in view of its hig
 h-luminosity upgrade. Although PDFs are intrinsically nonperturbative\, th
 eir scale evolution is governed by DGLAP splitting functions\, which can b
 e computed in perturbative QCD.In this talk\, I present the first complete
  calculation of the four-loop non-singlet splitting functions\, which are 
 required for the consistent inclusion of N3LO QCD corrections in PDF evolu
 tion. The exact analytic results across the full range of momentum fractio
 ns allow us to study their large- and small-x limits\, assess the accuracy
  of existing approximations\, and obtain previously unknown analytic expre
 ssions for several anomalous dimensions of broader relevance in perturbati
 ve QCD.\n\nhttps://indico.hiskp.uni-bonn.de/event/1627/
URL:https://indico.hiskp.uni-bonn.de/event/1627/
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