HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS

@article{Laporta2000HIGHPRECISIONCO,
  title={HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS},
  author={S. Laporta},
  journal={International Journal of Modern Physics A},
  year={2000},
  volume={15},
  pages={5087-5159}
}
  • S. Laporta
  • Published 2000
  • Physics
  • International Journal of Modern Physics A
We describe a new method of calculation of generic multiloop master integrals based on the numerical solution of systems of difference equations in one variable. We show algorithms for the construction of the systems using integration-by-parts identities and methods of solutions by means of expansions in factorial series and Laplace transformation. We also describe new algorithms for the identification of master integrals and the reduction of generic Feynman integrals to master integrals, and… Expand

Figures and Tables from this paper