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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 2 Issue 4 (1998) pp 747-756
DOI 10.1007/s100529800721
theoretical physics:
Calculation of infrared-divergent Feynman diagrams with zero mass threshold
J. Fleischer (1), V.A. Smirnov (2), A. Frink (3), J. Körner (3), D. Kreimer (3) (a), K. Schilcher (4) (b), J.B. Tausk (3)
(1) Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld , Germany (e-mail: fleischer@physik.uni-bielefeld.de)
(2) Nuclear Physics Institute of Moscow State University, 119899 Moscow, Russian Federation (e-mail: smirnov@theory.npi.msu.su)
(3) Institut für Physik, Universität Mainz, D-55099 Mainz, Germany (e-mail: frink@dipmza.physik.uni-mainz.de)
(4) Department of Physics, University of California, San Diego, La Jolla, CA 92093-0319 USA
Received: 22 April 1997 / Published online: 20 February 1998
Abstract. Two-loop vertex Feynman diagrams with infrared and collinear divergences are investigated by two independent methods. On the one hand, a method of calculating Feynman diagrams from their small momentum expansion [1] extended to diagrams with zero mass thresholds [2] is applied. On the other hand, a numerical method based on a two-fold integral representation is used [3], [4]. The application of the latter method is possible by using lightcone coordinates in the parallel space. The numerical data obtained with the two methods are in impressive agreement.
(a) Heisenberg Fellow
(b) supported in part by Volkswagenstiftung.
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Permanent address : Inst.f.Physik, Univ., D-55099 Mainz
Online publication: May 25, 1998
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