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One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits

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arxiv hep-ph/9312333 v2 pith:GCI2CKHF submitted 1993-12-24 hep-ph hep-th

classification hep-phhep-th
keywords amplitudesgluoncollinearconjecturehelicitylimitsmaximalone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a conjecture for the $n$-gluon one-loop amplitudes with maximal helicity violation. The conjecture emerges from the powerful requirement that the amplitudes have the correct behavior in the collinear limits of external momenta. One implication is that the corresponding amplitudes where three or more gluon legs are replaced by photons vanish for $n>4$.

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Cited by 2 Pith papers

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  1. Non-abelian soft radiation data for a celestial theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...

  2. Infrared singularities and the collinear limits of multi-leg scattering amplitudes

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...

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