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2018

A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec

Borowka, S., Heinrich, G., Jahn, S. et al.

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The purely numerical evaluation of multi-loop integrals and amplitudes can be a viable alternative to analytic approaches, in particular in the presence of several mass scales, provided sufficient accuracy can be achieved in an acceptable amount of time.

For many multi-loop integrals, the fraction of time required to perform the numerical integration is significant and it is therefore beneficial to have efficient and well-implemented numerical integration methods.
With this goal in mind, we present a new stand-alone integrator based on the use of (quasi-Monte Carlo) rank-1 shifted lattice rules.
For integrals with high variance we also implement a variance reduction algorithm based on fitting a smooth function to the inverse cumulative distribution function of the integrand dimension-by-dimension.

A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec · Around

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