Corpus ID: 221370588

Tropical Monte Carlo quadrature for Feynman integrals

  title={Tropical Monte Carlo quadrature for Feynman integrals},
  author={Michael Borinsky},
  journal={arXiv: Mathematical Physics},
  • Michael Borinsky
  • Published 2020
  • Mathematics, Physics
  • arXiv: Mathematical Physics
  • We introduce a new method to evaluate algebraic integrals over the simplex numerically. It improves upon geometric sector decomposition by employing tools from tropical geometry. The method can be improved further by exploiting the geometric structure of the underlying integrand. As an illustration of this, we give a specialized algorithm for a class of integrands that exhibit the form of a generalized permutahedron. This class includes integrands for scattering amplitudes and parametric… CONTINUE READING
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