6533b7dcfe1ef96bd12716db
RESEARCH PRODUCT
Numerical evaluation of iterated integrals related to elliptic Feynman integrals
Stefan WeinzierlMoritz Waldensubject
High Energy Physics - TheoryKronecker coefficientFeynman integralModular formFOS: Physical sciencesGeneral Physics and AstronomyMathematical Physics (math-ph)01 natural sciences010305 fluids & plasmasAlgebraHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Hardware and ArchitectureIterated integrals0103 physical sciencesArbitrary-precision arithmeticTrailing zero010306 general physicsSeries expansionLink (knot theory)Mathematical PhysicsMathematicsdescription
We report on an implementation within GiNaC to evaluate iterated integrals related to elliptic Feynman integrals numerically to arbitrary precision within the region of convergence of the series expansion of the integrand. The implementation includes iterated integrals of modular forms as well as iterated integrals involving the Kronecker coefficient functions $g^{(k)}(z,\tau)$. For the Kronecker coefficient functions iterated integrals in $d\tau$ and $dz$ are implemented. This includes elliptic multiple polylogarithms.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-08-01 | Computer Physics Communications |