Calculation of infrared-divergent Feynman diagrams with zero mass threshold

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...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 1998-05, Vol.2 (4), p.747-756
Main Authors: Fleischer, J., Smirnov, V.A., Frink, A., Körner, J., Kreimer, D., Schilcher, K., Tausk, J.B.
Format: Article
Language:English
Subjects:
Feynman diagrams
Mathematical analysis
Numerical methods
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Summary: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.
ISSN:1434-6044
1434-6052
DOI:10.1007/s100529800721