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SUMMARY:Four-loop non-singlet splitting functions in QCD
DTSTART;VALUE=DATE-TIME:20260515T060000Z
DTEND;VALUE=DATE-TIME:20260515T070000Z
DTSTAMP;VALUE=DATE-TIME:20260523T050800Z
UID:indico-event-5004@indico-tdli.sjtu.edu.cn
DESCRIPTION:Speakers: Tongzhi Yang（杨通智） (South China Normal Univ
 ersity)\n\n   Abstract:In this talk\, we report the first complete compu
 tation of the four-loop non-singlet splitting functions in QCD. Splitting 
 functions govern the scale evolution of parton distribution functions\, wh
 ich enter the theoretical predictions for all physical processes at high-e
 nergy hadron colliders. According to their flavor group structure\, splitt
 ing functions are classified into non-singlet and singlet components. In t
 he non-singlet case\, a direct multiplicative renormalization formula appl
 ies\, leaving the integration-by-parts (IBP) reduction and the solution of
  master integrals as the primary bottleneck. After five years of effort\, 
 we obtained recently the complete four-loop non-singlet splitting function
 s for the first time\, in fully analytic form. We also report on progress 
 in the singlet case\, where twist-two operators mix with unphysical operat
 ors. We present a systematic procedure to derive the counterterm Feynman r
 ules for these unphysical operators\, which provides a path toward the com
 plete four-loop singlet splitting functions.   Biography:Current Positio
 nResearcher\, Institute of Quantum Matter\, South China Normal University\
 , Guangzhou\, China (July 2025 – present).Previous PositionPostdoctoral 
 Researcher\, Physik-Institut\, Universit¨at Z¨urich\, Switzerland\, supe
 rvised by Prof. Dr. Thomas Gehrmann (October 2020 – May 2025).EducationP
 h.D. in Theoretical Physics\, Zhejiang University\, China\, 2020. Thesis: 
 Quark transverse beam function at N3LO and energy correlation at NLO. Supe
 rvisors: Prof. Ming-xing Luo and Prof. Hua Xing Zhu. B.Sc. in Physics\, Zh
 ejiang University\, China\, 2015.Research InterestsPerturbative higher-ord
 er calculations in QCD and QED\; four-loop splitting functions\; multi-loo
 p Feynman integral reduction\; TMDPDFs/TMDFFs at N3LO\; energy correlators
 \; precision LHC phenomenology.Alternative online link：https://meeting.t
 encent.com/dm/rNquvdVqh4itID: 775113160\n\nhttps://indico-tdli.sjtu.edu.c
 n/event/5004/
LOCATION:Tsung-Dao Lee Institute/N6F-N600 - Lecture Room (Tsung-Dao Lee In
 stitute)
URL:https://indico-tdli.sjtu.edu.cn/event/5004/
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