Numerical approach to multi-loop integrals

Details Numerical approach to multi-loop integrals Numerical approach to multi-loop integrals

2012-01-30

arxiv.org/abs/1201.6127v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages; The XXth International Workshop High Energy Physics and Quantum Field Theory, September 24-October 1, 2011, Sochi Rus

Scientific paper

For the calculation of multi-loop Feynman integrals, a novel numerical method, the Direct Computation Method (DCM) is developed. It is a combination of a numerical integration and a series extrapolation. In principle, DCM can handle diagrams of arbitrary internal masses and external momenta, and can calculate integrals with general numerator function. As an example of the performance of DCM, a numerical computation of two-loop box diagrams is presented. Further discussion is given on the choice of control parameters in DCM. This method will be an indispensable tool for the higher order radiative correction when it is tested for a wider class of physical parameters and the separation of divergence is done automatically.

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