A Brief Comment on Multi-Gluon Amplitudes and Double Parton Interactions

TL;DR

This paper analyzes multi-gluon amplitudes in the context of double parton interactions, revealing that dominant contributions are effectively two-body interactions rather than three-body, challenging some assumptions in the field.

Contribution

It provides a brief analysis showing that the dominant multi-gluon amplitude contributions in DPI are effectively two-body, not enhanced in typical DPI configurations.

Findings

Color ordered amplitude not enhanced in typical DPI configurations

Dominant contributions come from fusion amplitude of two initial gluons

Effective two-body interaction description for multi-gluon amplitudes

Abstract

A typical contribution to a color ordered multi-gluon amplitude, which can split into two weakly correlated two-body gluon scattering amplitudes and may thus contribute to a Double Parton Interaction, is briefly discussed. We find that the color ordered amplitude is not enhanced in the typical configuration generated by a DPI, where the transverse momenta of final state gluons are compensated pairwise, while a dominant contribution to the multi-gluon amplitude is due to terms proportional to the fusion amplitude of two initial state gluons. Which corresponds to an amplitude effectively describing a two rather than a three-body partonic interaction.