Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence

Physics – High Energy Physics – High Energy Physics - Phenomenology

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10 pages, 2 figures, contribution to the proceedings of the ACAT workshop, Amsterdam, April 23-27, 2007

Scientific paper

We present a new approach for obtaining very precise integration results for infrared vertex and box diagrams, where the integration is carried out directly without performing any analytic integration of Feynman parameters. Using an appropriate numerical integration routine with an extrapolation method, together with a multi-precision library, we have obtained integration results which agree with the analytic results to 10 digits even for such a very small photon mass as $10^{-150}$ GeV in the infrared vertex diagram.

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