Two-loop vertices with vacuum polarization insertion. (English) Zbl 07821493
Summary: 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.
MSC:
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 05C69 | Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) |
| 35B20 | Perturbations in context of PDEs |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81V74 | Fermionic systems in quantum theory |
| 37E20 | Universality and renormalization of dynamical systems |
| 11G55 | Polylogarithms and relations with \(K\)-theory |
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