Gluon cascades and amplitudes in light-front perturbation theory

TL;DR

This paper develops a framework for calculating gluon wave functions, fragmentation functions, and scattering amplitudes using light-front perturbation theory, introducing recursion relations analogous to known methods and deriving specific amplitude results.

Contribution

It introduces recursion relations for gluon wave functions and fragmentation functions in light-front perturbation theory, extending the computational tools for scattering amplitudes.

Findings

Derived recursion relations for wave functions and fragmentation functions.

Demonstrated how to obtain maximally-helicity violating amplitudes.

Verified results through explicit examples.

Abstract

We construct the gluon wave functions, fragmentation functions and scattering amplitudes within the light-front perturbation theory. Recursion relations on the light-front are constructed for the wave functions and fragmentation functions, which in the latter case are the light-front analogs of the Berends-Giele recursion relations. Using general relations between wave functions and scattering amplitudes it is demonstrated how to obtain the maximally-helicity violating amplitudes, and explicit verification of the results is based on simple examples.