BCJ Relations for One-Loop QCD Integral Coefficients

Abstract

We present a set of one-loop integral coefficient relations in QCD. The unitarity method is useful for exposing one-loop amplitudes in terms of tree amplitudes. The coefficient relations are induced by tree-level BCJ amplitude relations. We provide examples for box, triangle, and bubble coefficients. These relations reduce the total number of independent coefficients needed to calculate one-loop QCD amplitudes.

29 pages, 13 figures

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Cited by in corpus (8)

• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Higher-loop amplitude monodromy relations in string and gauge theory
• One-loop monodromy relations on single cuts
• BCJ Identities and $d$-Dimensional Generalized Unitarity
• Beyond the standard model with six-dimensional spinors
• One-Loop Yang-Mills Integrands from Scattering Equations
• Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups
• On-shell recursion relations for generic integrands