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The Q-cut Representation of One-loop Integrands and Unitarity Cut Method

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arxiv 1512.02860 v2 pith:NBIBUIQU submitted 2015-12-09 hep-th

classification hep-th
keywords integrandsrepresentationq-cutapproachintegrandloopmethodone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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Recently, a new construction for complete loop integrands of massless field theories has been proposed, with on-shell tree-level amplitudes delicately incorporated into its algorithm. This new approach reinterprets integrands in a novel form, namely the Q-cut representation. In this paper, by deriving one-loop integrands as examples, we elaborate in details the technique of this new representation, e.g., the summation over all possible Q-cuts as well as helicity states for the non-scalar internal particle in the loop. Moreover, we show that the integrand in the Q-cut representation naturally reduces to the integrand in the traditional unitarity cut method for each given cut channel, providing a cross-check for the new approach.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On differential operators and unifying relations for $1$-loop Feynman integrands

    hep-th 2021-08 unverdicted novelty 7.0 of 10

    Differential operators built from the 1-loop CHY formula map the gravitational 1-loop Feynman integrand to those of Einstein-Yang-Mills, pure Yang-Mills, Born-Infeld, bi-adjoint scalar, and other theories, with factor...

  2. An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators

    hep-th 2026-07 conditional novelty 6.0 of 10

    The complete 207-dimensional family of one-loop five-gluon BCJ numerator coefficients is reconstructed exactly, and every direction in that family is shown to be invisible to the specified color-ring observable.

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