Status reports from the GRACE Group

Details Status reports from the GRACE Group Status reports from the GRACE Group

2007-10-16

arxiv.org/abs/0710.2957v1

ECONF C0705302:LOOP04,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 3 figures, Proceedings for the International Workshop LCWS/ILC 2007, DESY in Hamburg, Germany, between May 30, 2007,

Scientific paper

We discuss a new approach for the numerical evaluation of loop integrals. The fully numerical calculations of an infrared one-loop vertex and a box diagram are demonstrated. To perform these calculations, we apply an extrapolation method based on the $\epsilon$-algorithm. In our approach, the super high precision control in the numerical manipulation is essential to handle the infrared singularity. We adopt a multi-precision library named {\tt HMLib} for the precision control in the calculations.

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