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Three-loop gluon scattering in QCD and the gluon Regge trajectory

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

We compute the three-loop helicity amplitudes for the scattering of four gluons in QCD. We employ projectors in the 't Hooft-Veltman scheme and construct the amplitudes from a minimal set of physical building blocks, which allows us to keep the computational complexity under control. We obtain relatively compact results that can be expressed in terms of harmonic polylogarithms. In addition, we consider the Regge limit of our amplitude and extract the gluon Regge trajectory in full three-loop QCD. This is the last missing ingredient required for studying single-Reggeon exchanges at next-to-next-to-leading logarithmic accuracy.

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hep-ph 3

years

2026 3

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background 1

representative citing papers

Quark Reggeization in QCD from the Wilson line formalism

hep-ph · 2026-06-24 · unverdicted · novelty 6.0

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.

Progress on the soft anomalous dimension in QCD

hep-ph · 2026-04-21 · 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.

citing papers explorer

Showing 3 of 3 citing papers.

  • Factorization of elastic, single, and double diffractive $pp$ scattering hep-ph · 2026-07-08 · conditional · none · ref 58 · internal anchor

    SCET with Glauber operators factorizes elastic/single/double diffractive pp scattering, proving non-universality of hadronic functions versus ep while rapidity anomalous dimensions remain universal.

  • Quark Reggeization in QCD from the Wilson line formalism hep-ph · 2026-06-24 · unverdicted · none · ref 62

    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.

  • Progress on the soft anomalous dimension in QCD hep-ph · 2026-04-21 · unverdicted · none · ref 117

    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.