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Calculation of infrared-divergent Feynman diagrams with zero mass threshold
Authors:J Fleischer  VA Smirnov  A Frink  J Körner  D Kreimer  K Schilcher  JB Tausk
Institution:Fakult?t für Physik, Universit?t Bielefeld, D-33615 Bielefeld , Germany (e-mail: fleischer@physik.uni-bielefeld.de), DE
Nuclear Physics Institute of Moscow State University, 119899 Moscow, Russian Federation (e-mail: smirnov@theory.npi.msu.su), RU
Institut für Physik, Universit?t Mainz, D-55099 Mainz, Germany (e-mail: frink@dipmza.physik.uni-mainz.de), DE
Department of Physics, University of California, San Diego, La Jolla, CA 92093-0319 USA, US
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. Received: 22 April 1997 / Published online: 20 February 1998
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