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Algorithms and tools for iterated Eisenstein integrals

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arxiv 1912.00077 v1 pith:A7MU6R5J submitted 2019-11-29 hep-th hep-ph

classification hep-thhep-ph
keywords integralsalgorithmseisensteiniteratedallowanalyticallyappearedapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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We present algorithms to work with iterated Eisenstein integrals that have recently appeared in the computation of multi-loop Feynman integrals. These algorithms allow one to analytically continue these integrals to all regions of the parameter space, and to obtain fast converging series representations in each region. We illustrate our approach on the examples of hypergeometric functions that evaluate to iterated Eisenstein integrals as well as the well-known sunrise graph.

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    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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