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Direct numerical integration for multi-loop integrals · Around

2012

Direct numerical integration for multi-loop integrals

Becker, Sebastian, Weinzierl, Stefan

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We present a method to construct a suitable contour deformation in loop momentum space for multi-loop integrals.

This contour deformation can be used to perform the integration for multi-loop integrals numerically.
The integration can be performed directly in loop momentum space without the introduction of Feynman or Schwinger parameters.
The method can be applied to finite multi-loop integrals and to divergent multi-loop integrals with suitable subtraction terms.

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