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Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

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arxiv 1711.04850 v1 pith:BSVLQ4ZO submitted 2017-11-13 hep-ph hep-th

Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

classification hep-ph hep-th
keywords limitamplitudesordersscatteringanomalousdimensionhigh-energyinfrared
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Scattering amplitudes of partons in QCD contain infrared divergences which can be resummed to all orders in terms of an anomalous dimension. Independently, in the limit of high-energy forward scattering, large logarithms of the energy can be resummed using Balitsky-Fadin-Kuraev-Lipatov theory. We use the latter to analyze the infrared-singular part of amplitudes to all orders in perturbation theory and to next-to-leading-logarithm accuracy in the high-energy limit, resumming the two-Reggeon contribution. Remarkably, we find a closed form for the infrared-singular part, predicting the Regge limit of the soft anomalous dimension to any loop order.

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Cited by 3 Pith papers

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    Derives Reggeized quark operator from Wilson lines and its nonlinear rapidity RG evolution in QCD, recovering known Regge trajectories in dilute and large-Nc limits after signature projection.

  3. 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.