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Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD

Johannes Henn, Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser

Abstract

We compute the four-loop QCD corrections to the massless quark-anti-quark-photon form factor $F_q$ in the large-$N_c$ limit. From the pole part we extract analytic expressions for the corresponding cusp and collinear anomalous dimensions.

Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD

Abstract

We compute the four-loop QCD corrections to the massless quark-anti-quark-photon form factor in the large- limit. From the pole part we extract analytic expressions for the corresponding cusp and collinear anomalous dimensions.

Paper Structure

This paper contains 4 sections, 14 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Technical details
  3. Results
  4. Conclusions and outlook

Figures (2)

  • Figure 1: Sample four-loop Feynman diagrams contributing to $F_q$. Solid, curly and wavy lines represent quarks, gluons and photons, respectively. All particles are massless.
  • Figure 2: Massless four-loop vertex diagram with two external (incoming) momenta $q$ and $q_2$ with $q^2\not=0\not=q_2^2$ and $(q+q_2)^2=0$. The master integral $I_{99}$ corresponds to $q_2^2=0$.