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Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes

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arxiv 1911.06547 v2 pith:OXV6ROPN submitted 2019-11-15 hep-ph

David C. Dunbar , John H. Godwin , Warren B. Perkins , Joseph M.W. Strong This is my paper
classification hep-ph
keywords two-loopall-plusamplitudescolorfullrecursionunitarityyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a direct computation of the full color two-loop five-point all-plus Yang-Mills amplitude using four dimensional unitarity and recursion. We present the $SU(N_c)$ amplitudes in compact analytic forms. Our results match the explicit expressions previously computed but do not require full two-loop integral methods.

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Cited by 4 Pith papers

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

  1. Pseudo-Evanescent Feynman Integrals from Local Subtraction

    hep-th 2026-05 conditional novelty 7.0 of 10

    Local subtraction reduces pseudo-evanescent Feynman integrals to products of one-loop integrals or one-fold integrals, with the finite part of the two-loop all-plus five-point amplitude arising solely from ultraviolet...

  2. 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.

  3. Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints

    hep-ph 2025-11 unverdicted novelty 7.0 of 10

    Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.

  4. Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    The paper decomposes two-loop Yang-Mills gluon amplitudes into color structures via trace and structure-constant bases and organizes relations between the resulting partial amplitudes.

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