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Collinear anatomy

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arxiv 2412.11886 v3 pith:3R3PBA6A submitted 2024-12-16 hep-th hep-ph

classification hep-thhep-ph
keywords collinearamplitudesoff-shelladvantageamplitudeanalysisanatomyassistance
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We study the collinear factorization of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills (sYM) theory. These are constructed starting from six-dimensional N = (1,1) sYM, taking advantage of an available unconstrained spinor-helicity formalism combined with a unitarity-cut sewing procedure. After generalized dimensional reduction, their collinear behavior is dissected with assistance from the Method of Regions. We then construct off-shell splitting amplitudes directly using the same techniques, establishing equivalence to the amplitude analysis. The calculations are performed at one-loop order.

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  1. Off-shell form factor: factorization is violated

    hep-th 2025-05 conditional novelty 7.0 of 10

    At three loops, the off-shell Sudakov form factor in N=4 super Yang-Mills on the Coulomb branch violates multiplicative hard-collinear-ultrasoft factorization, with collinear and ultrasoft modes intertwined.

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