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SUMMARY:Four-loop non-singlet splitting functions in QCD
DTSTART;VALUE=DATE-TIME:20260513T040000Z
DTEND;VALUE=DATE-TIME:20260513T053000Z
DTSTAMP;VALUE=DATE-TIME:20260503T050100Z
UID:indico-event-4969@indico-tdli.sjtu.edu.cn
DESCRIPTION:Speakers: Tongzhi Yang（杨通智） (South China Normal Univ
 ersity)\n\nAbstract:In this talk\, we report the first complete computatio
 n of the four-loop non-singlet splitting functions in QCD. Splitting funct
 ions govern the scale evolution of parton distribution functions\, which e
 nter the theoretical predictions for all physical processes at high-energy
  hadron colliders. According to their flavor group structure\, splitting f
 unctions are classified into non-singlet and singlet components. In the no
 n-singlet case\, a direct multiplicative renormalization formula applies\,
  leaving the integration-by-parts (IBP) reduction and the solution of mast
 er integrals as the primary bottleneck. After five years of effort\, we ob
 tained recently the complete four-loop non-singlet splitting functions for
  the first time\, in fully analytic form. We also report on progress in th
 e singlet case\, where twist-two operators mix with unphysical operators. 
 We present a systematic procedure to derive the counterterm Feynman rules 
 for these unphysical operators\, which provides a path toward the complete
  four-loop singlet splitting functions.Biography:Current PositionResearche
 r\, Institute of Quantum Matter\, South China Normal University\, Guangzho
 u\, China (July 2025 – present).Previous PositionPostdoctoral Researcher
 \, Physik-Institut\, Universit¨at Z¨urich\, Switzerland\, supervised by 
 Prof. Dr. Thomas Gehrmann (October 2020 – May 2025).EducationPh.D. in Th
 eoretical Physics\, Zhejiang University\, China\, 2020. Thesis: Quark tran
 sverse beam function at N3LO and energy correlation at NLO. Supervisors: P
 rof. Ming-xing Luo and Prof. Hua Xing Zhu. B.Sc. in Physics\, Zhejiang Uni
 versity\, China\, 2015.Research InterestsPerturbative higher-order calcula
 tions in QCD and QED\; four-loop splitting functions\; multi-loop Feynman 
 integral reduction\; TMDPDFs/TMDFFs at N3LO\; energy correlators\; precisi
 on LHC phenomenology.Host: Prof. Jun GaoAlternative online link：https://
 meeting.tencent.com/dm/b9pYiNga9xT9ID:374145530   Password: 123456\n\nhtt
 ps://indico-tdli.sjtu.edu.cn/event/4969/
LOCATION:5#/6th-603 - Meeting Room 603 (Science Building)
URL:https://indico-tdli.sjtu.edu.cn/event/4969/
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