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SUMMARY:Matching Singlet Axial-Vector and Topological Currents from (S)MOM
  to MS to Four Loops
DTSTART;VALUE=DATE-TIME:20261010T013000Z
DTEND;VALUE=DATE-TIME:20261010T020000Z
DTSTAMP;VALUE=DATE-TIME:20261005T061854Z
UID:indico-contribution-2762@indico.itp.ac.cn
DESCRIPTION:Speakers: 龙 陈 (Shandong University)\nThe singlet axial-vec
 tor and topological current operators play central roles in determining th
 e quark and gluon spin contributions to the proton spin. As a consequence 
 of the Adler–Bell–Jackiw anomaly\, the axial-vector current $J_A^\\mu$
  acquires a non-trivial renormalization starting at two loops in perturbat
 ion theory\, which is closely related to the renormalization of the topolo
 gical current. The determination of the renormalization constant for $J_A^
 \\mu$ at high orders is complicated by the notorious difficulty of treatin
 g $\\gamma_5$ in dimensional regularization. Employing an newly proposed e
 fficient variant of Larin's renormalization condition for $J_A^\\mu$ in di
 mensionally regularized QCD\, we compute the finite matching coefficients 
 from (S)MOM to $\\overline{\\mathrm{MS}}$ schemes up to unprecedented (3)4
  loops. These results provide essential theoretical input for accurately c
 onverting (S)MOM-renormalized currents computed in lattice QCD to their $\
 \overline{\\mathrm{MS}}$-renormalized counterparts.\n\nhttps://indico.itp.
 ac.cn/event/437/contributions/2762/
LOCATION:会议楼2 CXII401
URL:https://indico.itp.ac.cn/event/437/contributions/2762/
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