Universal Decomposition of Phase-Space Integrands

Abstract

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.

59 pages, 4 figures, final journal version

References in corpus (9)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Reducing full one-loop amplitudes to scalar integrals at the integrand level
• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• A novel subtraction scheme for double-real radiation at NNLO
• Full one-loop amplitudes from tree amplitudes
• Scattering amplitudes over finite fields and multivariate functional reconstruction
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Ansätze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry