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Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills

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arxiv hep-ph/9702424 v3 pith:6S33VUAX submitted 1997-02-26 hep-ph hep-th

classification hep-phhep-th
keywords amplitudesfour-gluontwo-loopsuper-yang-millstermsthereforecalculationcolor
verification ladder T0 review T1 audit T2 compute T3 formal

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Using cutting techniques we obtain the two-loop N=4 super-Yang-Mills helicity amplitudes for four-gluon scattering in terms of scalar integral functions. The N=4 amplitudes are considerably simpler than corresponding QCD amplitudes and therefore provide a testing ground for exploring two-loop amplitudes. The amplitudes are constructed directly in terms of gauge invariant quantities and therefore remain relatively compact throughout the calculation. We also present a conjecture for the leading color four-gluon amplitudes to all orders in the perturbative expansion.

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Cited by 3 Pith papers

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  1. Black Hole Binary Dynamics from the Double Copy and Effective Theory

    hep-th 2019-08 accept novelty 8.0 of 10

    The authors derive the complete conservative two-body Hamiltonian for spinless black holes at third post-Minkowskian order using scattering amplitudes and effective field theory.

  2. Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.

  3. Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes

    hep-th 2025-05 conditional novelty 6.0 of 10

    Three- and four-point Coulomb branch amplitudes of N=4 SYM are expressed as symplectic Grassmannian integrals over SpGr(3,6) and SpGr(4,8), up to a fitted kinematic factor at four points.

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