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Numerical evaluation of multi-loop integrals using subtraction terms · Around

2012

Numerical evaluation of multi-loop integrals using subtraction terms

Freitas, A.

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A formalism for the numerical integration of one- and two-loop integrals is presented.

It is based on subtraction terms which remove the soft, collinear and some of the ultraviolet divergences from the integrand.
The numerical integral is performed in the Feynman parameter space, using a complex contour deformation to ensure robust convergence even in the presence of physical thresholds.
The application of the proposed procedure is demonstrated with several one- and two-loop examples.

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2007

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A. Freitas, in preparation

Cited in the paper.

T. Binoth and G. Heinrich, Nucl. Phys. B 585

2011

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