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SUMMARY:Four-loop non-singlet splitting functions in QCD
DTSTART;VALUE=DATE-TIME:20260521T071000Z
DTEND;VALUE=DATE-TIME:20260521T081000Z
DTSTAMP;VALUE=DATE-TIME:20260523T135400Z
UID:indico-event-29624@indico.ihep.ac.cn
DESCRIPTION:Speakers: Tongzhi  Yang (South China Normal University)\nIn th
 is talk\, we report the first complete results of the four-loop non-single
 t splitting functions in QCD. Splitting functions govern the scale evoluti
 on of parton distribution functions\, which enter the theoretical predicti
 ons for all physical processes at high-energy hadron colliders. According 
 to their flavor group structure\, splitting functions are classified into 
 non-singlet and singlet components. In the non-singlet case\, a direct mul
 tiplicative renormalization formula applies\, leaving the integration-by-p
 arts (IBP) reduction and the solution of master integrals as the primary b
 ottleneck. After many years of effort\, we obtained recently the first com
 plete four-loop non-singlet splitting functions. The results are in fully 
 analytic form. We also report on progress in the singlet case\, where twis
 t-two operators mix with un-physical operators. We present a systematic pr
 ocedure to derive the counterterm Feynman rules for these un-physical oper
 ators\, which provides a path toward the complete four-loop singlet splitt
 ing functions.\n\nBiography: Tongzhi Yang is a faculty member at the Insti
 tute of Quantum Matter\, South China Normal University since July 2025. He
  received his BSc from Zhejiang University in 2015 and his PhD from the sa
 me institution in 2020. His research focuses on perturbative QCD\, with re
 cent emphasis on the development of integration-by-parts techniques and th
 eir applications to compute anomalous dimensions and Wilson coefficients r
 elevant to collider phenomenology. Prior to his current position\, he was 
 a postdoctoral researcher at the University of Zurich from 2020 to 2025.\n
 https://indico.ihep.ac.cn/event/29624/
LOCATION:B105 (CHEP)
URL:https://indico.ihep.ac.cn/event/29624/
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