A planar four-loop form factor and cusp anomalous dimension in QCD

Abstract

We compute the fermionic contribution to the photon-quark form factor to four-loop order in QCD in the planar limit in analytic form. From the divergent part of the latter the cusp and collinear anomalous dimensions are extracted. Results are also presented for the finite contribution. We briefly describe our method to compute all planar master integrals at four-loop order.

19 pages, 3 figures, v2: typo in (2.3) fixed and coefficients in (2.6) corrected; references added and corrected

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Cited by in corpus (8)

• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• The $n_f^2$ contributions to fermionic four-loop form factors
• First Forcer results on deep-inelastic scattering and related quantities
• A $QQ\to QQ$ planar doublebox in canonical form
• The nonplanar cusp and collinear anomalous dimension at four loops in $\mathcal{N}=4$ SYM theory