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SUMMARY:Four-loop non-singlet splitting functions in QCD
DTSTART;VALUE=DATE-TIME:20260522T020000Z
DTEND;VALUE=DATE-TIME:20260522T040000Z
DTSTAMP;VALUE=DATE-TIME:20260521T111800Z
UID:indico-event-29687@indico.ihep.ac.cn
DESCRIPTION:Speakers: Tongzhi Yang (South China Normal University)\n报告
 摘要：In this talk\, we report the first complete results of the four-l
 oop non-singlet splitting functions in QCD. Splitting functions govern the
  scale evolution of parton distribution functions\, which enter the theore
 tical predictions for all physical processes at high-energy hadron collide
 rs. According to their flavor group structure\, splitting functions are cl
 assified into non-singlet and singlet components. In the non-singlet case\
 , a direct multiplicative renormalization formula applies\, leaving the in
 tegration-by-parts (IBP) reduction and the solution of master integrals as
  the primary bottleneck. After many years of effort\, we obtained recently
  the first complete four-loop non-singlet splitting functions. The results
  are in fully analytic form. We also report on progress in the singlet cas
 e\, where twist-two operators mix with un-physical operators. We present a
  systematic procedure to derive the counterterm Feynman rules for these un
 -physical operators\, which provides a path toward the complete four-loop 
 singlet splitting functions.\n\n \n\n个人简介：Tongzhi Yang is a fac
 ulty member at the Institute of Quantum Matter\, South China Normal Univer
 sity since July 2025. He received his BSc from Zhejiang University in 2015
  and his PhD from the same institution in 2020. His research focuses on pe
 rturbative QCD\, with recent emphasis on the development of integration-by
 -parts techniques and their applications to compute anomalous dimensions a
 nd Wilson coefficients relevant to collider phenomenology. Prior to his cu
 rrent position\, he was a postdoctoral researcher at the University of Zur
 ich from 2020 to 2025.\nhttps://indico.ihep.ac.cn/event/29687/
LOCATION:图书馆楼319
URL:https://indico.ihep.ac.cn/event/29687/
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