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Fermionic corrections to quark and gluon form factors in four-loop QCD

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arxiv 2105.11504 v1 pith:TYBFF4DS submitted 2021-05-24 hep-ph hep-th

Fermionic corrections to quark and gluon form factors in four-loop QCD

classification hep-ph hep-th
keywords formcorrectionsfactorsfour-loopanalyticalanalyticallyanomalouscalculation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar vertex integrals confirms a previous conjecture for the analytical form of the non-fermionic contributions to the collinear anomalous dimensions of quarks and gluons.

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  1. Properties and implications of the four-loop non-singlet splitting functions in QCD

    hep-ph 2026-05 unverdicted novelty 7.0

    Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new ...