Eikonal amplitudes for three-hard legs processes at finite-Nc

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 massless hard-legs at finite-Nc 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.

Keywords

• QCD
• Eikonal approximation
• Scattering amplitudes