Numerical evaluation of iterated integrals related to elliptic Feynman integrals

DOI10.1016/J.CPC.2021.108020arXiv2010.05271OpenAlexW3092374952WikidataQ114192773 ScholiaQ114192773MaRDI QIDQ6156396

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Publication date: 13 June 2023

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Abstract: 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 $g^{(k)}(z,au)$. For the Kronecker coefficient functions iterated integrals in $dau$ and $dz$ are implemented. This includes elliptic multiple polylogarithms.

Full work available at URL: https://arxiv.org/abs/2010.05271

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