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

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