Three-loop massive form factors: complete light-fermion corrections for the vector current

Abstract

We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors $F_1$ and $F_2$ involving a closed loop of massless fermions. This subset is gauge invariant and contains both planar and non-planar contributions. We perform the reduction using FIRE and compute the master integrals with the help of differential equations. Our analytic results can be expressed in terms of Goncharov polylogarithms. We provide analytic results for all master integrals which are not present in the large-$N_c$ calculation considered in Refs. [1,2].

22 pages

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Cited by in corpus (11)

• Massive vector form factors to three loops
• A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop
• Three-loop massive form factors: complete light-fermion and large-$N_c$ corrections for vector, axial-vector, scalar and pseudo-scalar currents
• Massive three-loop form factors: anomaly contribution
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• The complete singlet contribution to the massless quark form factor at three loops in QCD
• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Computational challenges for multi-loop collider phenomenology
• Three loop QCD corrections to heavy quark form factors
• Singlet and non-singlet three-loop massive form factors