Calculation of infrared-divergent Feynman diagrams with zero mass threshold |
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Authors: | J. Fleischer V.A. Smirnov A. Frink J. Körner D. Kreimer K. Schilcher J.B. Tausk |
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Affiliation: | 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
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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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