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Quark and gluon form factors to four-loop order in QCD: The Nf3 contributions

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We calculate the four-loop massless QCD corrections with three closed quark lines to quark and gluon form factors. We apply a novel integration by parts algorithm based on modular arithmetic… Click to show full abstract

We calculate the four-loop massless QCD corrections with three closed quark lines to quark and gluon form factors. We apply a novel integration by parts algorithm based on modular arithmetic and compute all relevant master integrals for arbitrary values of the space-time dimension. This is the first calculation of a gluon form factor at this perturbative order in QCD.

Keywords: four loop; order qcd; quark gluon; form factors; form; gluon form

Journal Title: Physical Review D
Year Published: 2017

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