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Calculations of loop integral via Feynman parametrization #58

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@vsht vsht commented Jul 21, 2020

The main purpose of this PR is to have a set of routines that are useful for calculating
multi-loop scalar integrals using direct Feynman parametrization.

In simple cases the integral might be solvable directly withing Mathematica.
However, in most cases one would probably pass it to PolyLogTools or HyperInt

Remaining tasks

  • Support for scalar integrals with irreducible scalar products and tensor integrals with free indices (cf. Eq. 4.16 in S. Jahn's thesis)
  • Add other parametrizations: Schwinger, Lee-Pomeransky, Baikov etc.
  • Routines for projectivizing an integral in the given variables
  • Documentation with many examples
  • More unit tests
  • Review old FeynmanParametrize, FeynmanParametrize1, FeynmanReduce and FeynmanDoIntegrals. Keep useful stuff, remove the rest.
  • Export to Maple (for the evaluation via HyperInt)?

FCSymanzikPolynomials which are useful routines for calculating loop
integrals via the Feynman parametrization method.
@vsht vsht added this to the FeynCalc X milestone Jul 21, 2020
@vsht vsht self-assigned this Jul 21, 2020
@vsht vsht closed this Dec 26, 2020
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