Eikonal amplitudes for three-hard legs processes at finite-N${}_c$

Abstract

We extend our previous work on scattering amplitudes [1] to hadron collisions. We provide a general formalism for the computation of eikonal amplitudes squared for the radiation of soft and energy-ordered gluons off three hard-legs at finite-N${}_c$ to any order in the perturbative expansion. Examples of three-hard legs processes include vector/Higgs boson production in association with a single hard jet and dijet production in DIS. Explicit expressions for the radiation of up to four gluons are provided as an illustration of the formalism.

6 pages. Published version

References in corpus (14)

• Higgs boson gluon-fusion production in N3LO QCD
• General-purpose event generators for LHC physics
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• Triple (and quadruple) soft-gluon radiation in QCD hard scattering
• Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report
• Eikonal gluon bremsstrahlung at finite N_c beyond two loops
• The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD

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• Analytical structure of k${}_t$ clustering to any order
• Structure of non-global logarithms with Cambridge/Aachen clustering