Massive three-loop form factors: anomaly contribution

Abstract

We compute three-loop corrections to the singlet form factors for massive quarks using a semi-analytic method which provides precise results over the whole kinematic range. Particular emphasis is put on the anomaly contribution originating from an external axial-vector current. We also discuss in detail the contribution for a pseudoscalar current and verify the chiral Ward identity to three-loop order. Explicit results are presented for the low- and high-energy regions and the expansions around threshold.

38 pages

References in corpus (11)

• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Quark and gluon form factors to three loops
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Expansion by regions: revealing potential and Glauber regions automatically
• The three-loop cusp anomalous dimension in QCD
• Iterated Binomial Sums and their Associated Iterated Integrals
• The QCD form factor of heavy quarks at NNLO
• Massive vector form factors to three loops
• Massive three-loop form factor in the planar limit
• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Renormalization of the axial current operator in dimensional regularization at four-loop in QCD