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Evaluation of Feynman integrals with arbitrary complex masses via series expansions

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arxiv 2205.03345 v2 pith:5WUXDYOJ submitted 2022-05-06 hep-ph

Evaluation of Feynman integrals with arbitrary complex masses via series expansions

classification hep-ph
keywords integralsarbitrarycomplexevaluationexpansionsfeynmanimplementationmasses
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an algorithm to evaluate multiloop Feynman integrals with an arbitrary number of internal massive lines, with the masses being in general complex-valued, and its implementation in the \textsc{Mathematica} package \textsc{SeaSyde}. The implementation solves by series expansions the system of differential equations satisfied by the Master Integrals. At variance with respect to other existing codes, the analytical continuation of the solution is performed in the complex plane associated to each kinematical invariant. We present the results of the evaluation of the Master Integrals relevant for the NNLO QCD-EW corrections to the neutral-current Drell-Yan processes.

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Cited by 10 Pith papers

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