English

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

High Energy Physics - Phenomenology 2016-04-19 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1604.03126,
  title  = {A planar four-loop form factor and cusp anomalous dimension in QCD},
  author = {Johannes M. Henn and Alexander V. Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
  journal= {arXiv preprint arXiv:1604.03126},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T13:29:47.533Z