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.
QED vertex form factors at two loops / BONCIANI, ROBERTO; P. Mastrolia; E. Remiddi. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - STAMPA. - 676:(2004), pp. 399-452. [10.1016/j.nuclphysb.2003.10.031]
QED vertex form factors at two loops
BONCIANI, ROBERTO;
2004
Abstract
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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