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Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes by Gong, Wei; Nagy, Zoltan; Soper, Davison E. is a scholarly article available to read on EtoBox.

What is Direct numerical integration of one-loop Feynman diagrams for N-photon amplitudes about?

One approach to the calculation of cross sections for infrared-safe observables in high energy collisions at next-to-leading order is to perform all of the integrations, including the virtual loop integration, by Monte Carlo numerical integration. In a previous paper, two of us have shown how one can perform such a virtual loop integration numerically after first introducing a Feynman parameter representation. In this paper, we perform the integration directly, without introducing Feynman parameters, after suitably deforming the integration contour. Our example is the N-photon scattering amplitude with a massless electron loop. We report results for N = 6 and N = 8.

Author

Gong, Wei; Nagy, Zoltan; Soper, Davison E.

Published

2008

Language

EN