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Factorization restoration through Glauber gluons

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arxiv 2408.10308 v1 pith:YLANYA7Y submitted 2024-08-19 hep-ph hep-th

classification hep-phhep-th
keywords contributionscrossfactorizationglauberidentifyactive-activeamplitudesanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyze the low-energy dynamics of gap-between-jets cross sections at hadron colliders, for which phase factors in the hard amplitudes spoil collinear cancellations and lead to double (``super-leading'') logarithmic behavior. Based on a method-of-regions analysis, we identify three-loop contributions from perturbative active-active Glauber-gluon exchanges with the right structure to render the cross section consistent with PDF factorization below the gap veto scale. The Glauber contributions we identify are unambiguously defined without regulators beyond dimensional regularization.

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Cited by 5 Pith papers

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

  1. geoSCET: Soft Theorems from Power Counting

    hep-th 2026-07 accept novelty 8.0 of 10

    geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.

  2. Spacelike-Collinear Scattering by the Method of Regions

    hep-ph 2026-07 conditional novelty 8.0 of 10

    The kinematic factorisation-violating part of the two-loop spacelike-collinear splitting amplitude comes entirely from a single hidden region with soft and Glauber loop momenta.

  3. Collinear Factorization Violation and Reggeization

    hep-ph 2026-07 conditional novelty 7.0 of 10

    Collinear-factorization-violating contributions from a single Glauber gluon factor into collinear and soft subgraphs, and their leading rapidity logarithms exponentiate via the gluon Regge trajectory.

  4. Low-energy theory of jet processes and PDF factorization

    hep-ph 2025-09 conditional novelty 6.0 of 10

    A three-loop Glauber contribution to low-energy soft-collinear matrix elements exactly cancels the collinear factorization-violating terms, so DGLAP running and PDF factorization are consistent with super-leading logarithms.

  5. 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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