4.3 Article

QED vertex form factors at two loops

Journal

NUCLEAR PHYSICS B
Volume 676, Issue 1-2, Pages 399-452

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2003.10.031

Keywords

Feynman diagrams; multi-loop calculations; vertex diagrams; QED form factors

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We present the closed analytic expression of the form factors of the two-loop QED vertex amplitude for on-shell electrons of finite mass m and arbitrary momentum transfer S = -Q(2). The calculation is carried out within the continuous D-dimensional regularization scheme, with a single continuous parameter D, the dimension of the space-time, which regularizes at the same time ultraviolet (UV) and infrared (IR) divergences. The results are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4. (C) 2003 Elsevier B.V. All rights reserved.

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