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The soft-gluon current at one-loop order

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arxiv hep-ph/0007142 v1 pith:FTDVMXM5 submitted 2000-07-13 hep-ph

classification hep-ph
keywords colourcurrentfactorizationmatrixone-looppartonssoft-gluoncorrelations
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at tree (classical) level by introducing a generalized soft-gluon current that embodies the quantum corrections. We compute the explicit expression of the soft-gluon current at one-loop order. It contains purely non-abelian correlations between the colour charges of each pair of hard-momentum partons in the matrix element. This leads to colour correlations between (two and) three hard partons in the matrix element squared. Exploiting colour conservation, we recover QED-like factorization for the square of the matrix elements with two and three hard partons.

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Cited by 4 Pith papers

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

  1. Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.

  2. Soft-Radiation-Induced Decoherence of Heavy-Quark Spin Entanglement at the Electron-Ion Collider

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    Subleading soft-gluon recoil rotates the heavy-quark spin-correlation plane; tracing over unresolved radiation dephases in-plane coherences while protecting the normal-axis correlation.

  3. 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...

  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.

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