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arxiv: 1902.08208 · v2 · submitted 2019-02-21 · ✦ hep-ph · hep-th

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Quark and gluon form factors in four loop QCD: the N_f² and N_{qγ} N_f contributions

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classification ✦ hep-ph hep-th
keywords formquarkfactorsgluonfactoranalyticanomalouscalculate
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We calculate the four-loop massless QCD corrections with two closed quark lines to quark and gluon form factors. The results for the gluon form factor and the singlet part of the quark form factor are given for the first time. From our analytic expressions for the form factors, we determine the corresponding cusp anomalous dimensions. The relevant Feynman integrals are obtained with novel integral reduction techniques and direct integration methods.

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    A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.