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The Cut-Constructible Part of QCD Amplitudes

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arxiv hep-ph/0602178 v1 pith:TXE6ISF3 submitted 2006-02-20 hep-ph hep-th

classification hep-phhep-th
keywords amplitudesintegralstrianglealgebraicbubblecoefficientslooptechnique
verification ladder T0 review T1 audit T2 compute T3 formal
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Unitarity cuts are widely used in analytic computation of loop amplitudes in gauge theories such as QCD. We expand upon the technique introduced in hep-ph/0503132 to carry out any finite unitarity cut integral. This technique naturally separates the contributions of bubble, triangle and box integrals in one-loop amplitudes and is not constrained to any particular helicity configurations. Loop momentum integration is reduced to a sequence of algebraic operations. We discuss the extraction of the residues at higher-order poles. Additionally, we offer concise algebraic formulas for expressing coefficients of three-mass triangle integrals. As an application, we compute all remaining coefficients of bubble and triangle integrals for nonsupersymmetric six-gluon amplitudes.

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Cited by 2 Pith papers

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

  1. Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function

    hep-th 2025-01 conditional novelty 5.0 of 10

    A rational, recursion-free expression for one-loop tensor reduction coefficients with Lorentz indices is given, built from a small set of tensor building blocks.

  2. Feynman Integral Reduction without Integration-By-Parts

    hep-th 2024-12 unverdicted novelty 5.0 of 10

    Contour equivalence in Feynman parameterization yields universal reduction formulas for one-loop integrals without integration-by-parts.

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