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 toward a decomposition of phase-space integrals in terms of a basis of master integrals.

• Received 13 January 2023
• Accepted 1 February 2023

DOI:https://doi.org/10.1103/PhysRevD.107.096006

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Published by the American Physical Society