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Universal Decomposition of Phase-Space Integrands

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arxiv 2211.14156 v2 pith:ZKC3S4XT submitted 2022-11-25 hep-ph hep-th

Universal Decomposition of Phase-Space Integrands

classification hep-ph hep-th
keywords integrandsbasisintegralsphase-spacedecompositiontermsalgebraiccomputational
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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One-loop integrands can be written in terms of a simple, process-independent basis. We show that a similar basis exists for integrands of phase-space integrals for the real-emission contribution at next-to-leading order. Our demonstration deploys techniques from computational algebraic geometry to partial-fraction integrands in a systematic way. This takes the first step towards a decomposition of phase-space integrals in terms of a basis of master integrals.

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