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

TL;DR

This paper develops a formalism to compute eikonal amplitudes squared for soft gluon radiation in three-hard-leg processes at finite N_c, applicable to various hadron collision scenarios, including vector/Higgs production and dijet events.

Contribution

It introduces a general method for calculating soft gluon radiation amplitudes at finite N_c for three-hard-leg processes, extending previous work to more complex collision scenarios.

Findings

Explicit expressions for up to four gluon emissions are provided.

The formalism applies to processes like vector/Higgs production with jets and dijet production in DIS.

The approach enables precise calculations of soft radiation effects in hadron collisions.

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.