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Analytic all-plus-helicity gluon amplitudes in QCD

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arxiv 1710.10071 v2 pith:6IZTKIB6 submitted 2017-10-27 hep-th

David C. Dunbar , John H. Godwin , Guy R. Jehu , Warren B. Perkins This is my paper · ORCID
classification hep-th
keywords amplitudesanalytictwo-loopall-plusall-plus-helicityallowaugmentedbeyond
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We detail the calculation of two-loop all-plus helicity amplitudes for pure Yang-Mills theory. The four dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure of the amplitudes allow us to compute these in compact analytic forms. Specifically we present the computation and analytic results for the six- and seven-gluon leading colour two-loop amplitudes these being the first QCD two-loop amplitudes beyond five-points.

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Cited by 4 Pith papers

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

  1. Multi-Quark Colour Decompositions from Unitarity

    hep-ph 2019-08 accept novelty 8.0 of 10

    New tree-level colour decompositions for multi-quark QCD amplitudes with arbitrary fixed pair of partons, derived from unitarity factorisation, with explicit closed-form colour factors.

  2. Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    An on-shell construction using BCFW trees plus vacuum-pair phase-space integrals with inclusion-exclusion signs reproduces the known one- and two-loop all-plus four-gluon amplitudes.

  3. QCD Scattering Amplitudes and Prescriptive Unitarity

    hep-th 2026-02 conditional novelty 7.0 of 10

    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

  4. Associativity is enough: an all-orders 2d chiral algebra for 4d form factors

    hep-th 2024-12 conditional novelty 7.0 of 10

    Associativity and symmetry determine the all-loop 2d chiral algebra OPEs for twistorial self-dual Yang-Mills, with one coefficient, c, left only as an order-by-order solution.

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