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arxiv 1008.0099 v2 pith:3DCRJSQO submitted 2010-07-31 hep-ph hep-th

Diagrammatic Exponentiation for Products of Wilson Lines

classification hep-ph hep-th
keywords linesdiagrammaticeikonalexponentiationgaugeproductswilsonamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We provide a recursive diagrammatic prescription for the exponentiation of gauge theory amplitudes involving products of Wilson lines and loops. This construction generalizes the concept of webs, originally developed for eikonal form factors and cross sections with two eikonal lines, to general soft functions in QCD and related gauge theories. Our coordinate space arguments apply to arbitrary paths for the lines.

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Cited by 2 Pith papers

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

  1. Progress on the soft anomalous dimension in QCD

    hep-ph 2026-04 unverdicted novelty 6.0

    A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.

  2. The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors

    hep-ph 2026-04 unverdicted novelty 6.0

    Ultra-collinear modes cancel to all orders in on-shell massive Sudakov form factors by gauge invariance, preserving SCET_II factorization, with explicit two-loop soft and jet functions computed via eta regulator and N...