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Elliptic Polylogarithms and Basic Hypergeometric Functions

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arxiv 1610.06207 v1 pith:ODE36AX6 submitted 2016-10-18 math-ph hep-thmath.MP

Giampiero Passarino (Turin University , INFN , Turin) This is my paper · ORCID
classification math-phhep-thmath.MP
keywords basicellipticfunctionshypergeometricmultiplepolylogarithmsarbitrarycomputable
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Multiple elliptic polylogarithms can be written as (multiple) integrals of products of basic hypergeometric functions. The latter are computable, to arbitrary precision, using a q-difference equation and q-contiguous relations.

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  1. Electroweak double-box integrals for Moller scattering

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.

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