Massive three-loop form factor in the planar limit

Abstract

We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors $F_1$ and $F_2$ in the large-$N_c$ limit. The analytic results are expressed in terms of Goncharov polylogarithms. This allows for a straightforward numerical evaluation. We also derive series expansions, including power suppressed terms, for three kinematic regions corresponding to small and large invariant masses of the photon momentum, and small velocities of the heavy quarks.

20 pages

References in corpus (10)

• Algorithm FIRE -- Feynman Integral REduction
• FIRE5: a C++ implementation of Feynman Integral REduction
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Reconstruction of heavy quark current correlators at O(α_s^3)
• The three-loop cusp anomalous dimension in QCD
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Three-Loop Chromomagnetic Interaction in HQET
• The QCD form factor of heavy quarks at NNLO
• Analytic results for planar three-loop integrals for massive form factors

Cited by in corpus (1)

• Heavy quark form factors in the large ${\beta }_0$ limit