Massive vector form factors to three loops

Abstract

We compute the three-loop non-singlet corrections to the photon-quark form factors taking into account the full dependence on the virtuality of the photon and the quark mass. We combine the method of differential equations in an effective way with expansions around regular and singular points. This allows us to obtain results for the form factors with an accuracy of about eight to twelve digits in the whole kinematic range.

7 pages

References in corpus (16)

• High-precision determination of the electric and magnetic form factors of the proton
• Theoretical status and prospects for top-quark pair production at hadron colliders
• Quark and gluon form factors to three loops
• The theoretical top quark cross section at the Tevatron and the LHC
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• 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
• QED at NNLO with McMule
• NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
• The QCD form factor of heavy quarks at NNLO
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• 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
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• Three-loop quark form factor at high energy: the leading mass corrections