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Five-Particle Phase-Space Integrals in QCD

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arxiv 1803.09084 v1 pith:XKJYSSHT submitted 2018-03-24 hep-ph

classification hep-ph
keywords dimensionsfive-particleintegralsphase-spaceadditionalgorithmanalyticalbeen
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present analytical expressions for the 31 five-particle phase-space master integrals in massless QCD as an $\epsilon$-series with coefficients being multiple zeta values of weight up to 12. In addition, we provide computer code for the Monte-Carlo integration in higher dimensions, based on the RAMBO algorithm, that has been used to numerically cross-check the obtained results in 4, 6, and 8 dimensions.

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    FunSearch discovered a simple priority function for ordering IBP seeding integrals, reducing the number needed for multi-loop Feynman integral reductions by factors up to 3058.

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