On series and integral representations of some NRQCD master integrals

A.I. Onishchenko; A.V. Kotikov; M.A. Bezuglov

On series and integral representations of some NRQCD master integrals

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arxiv 2205.14115 v1 pith:VJ4HNWR2 submitted 2022-05-27 hep-ph

M.A. Bezuglov , A.V. Kotikov , A.I. Onishchenko This is my paper · ORCID

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keywords seriesintegralintegralsmasternrqcdrepresentationsresultsaddition

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abstract

We consider new ways of obtaining series and integral representations for master integrals arising in the process of matching of QCD to NRQCD. The latter results are exact in space-time dimension $d$. In addition, we discuss series expansion of the obtained results at fixed values of $d$.

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$\texttt{PrecisionLauricella}$: package for numerical computation of Lauricella functions depending on a parameter
cs.MS 2025-02 conditional novelty 4.0 of 10

PrecisionLauricella is a Mathematica package that computes epsilon-expansions of Lauricella F_A, F_B, and F_D functions for n up to 3 using Frobenius-series analytic continuation.

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