Two-loop Vertices with Vacuum Polarization Insertion

Abstract

We present the analytic evaluation of the second-order corrections to the massive form factors, due to two-loop vertex diagrams with a vacuum polarization insertion, with exact dependence on the external and internal fermion masses, and on the squared momentum transfer. We consider vector, axial-vector, scalar and pseudoscalar interactions between the external fermion and the external field. After renormalization, the finite expressions of the form factors are expressed in terms of polylogarithms up to weight three.

20 pages, 3 figures, 2 ancillary files. v2: results.m ancillary file updated (constants in the expression "canonicalMasters" simplified, residual logarithms in the renormalisedFormFactorsGPLS converted to GPLS), final version

References in corpus (7)

• QED at NNLO with McMule
• The QCD form factor of heavy quarks at NNLO
• Massive vector form factors to three loops
• Muon-electron scattering at NNLO: the hadronic corrections
• Exact Top Yukawa corrections to Higgs boson decay into bottom quarks
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Massive three-loop form factors: anomaly contribution

Cited by in corpus (2)

• Lepton pair production in muon-nucleus scattering
• Theory for the MUonE experiment