# Off-shell gluon production in interaction of a projectile with 2 or 3 targets

## TL;DR

This paper investigates virtual gluon emission in high-energy collisions with multiple targets using an effective QCD approach, revealing singularity cancellations and simplified formulas in a specialized gauge.

## Contribution

It extends the effective QCD action framework to multi-target interactions, demonstrating singularity cancellations and gauge simplifications for virtual gluon emission amplitudes.

## Key findings

- All un-Feynman singularities cancel between induced vertices and rescattering.
- Formulas simplify significantly in a generalized light-cone gauge.
- Results enhance understanding of gluon emission in multi-target high-energy collisions.

## Abstract

Within the effective QCD action for the Regge kinematics amplitudes for virtual gluon emission are studied in collision of a projectile with two and three targets. It is demonstrated that all un- Feynman singularities cancel between induced vertices and rescattering contributions. Formulas simplify considerably in a special gauge which is a straightforward generalization of the light-cone gauge for emission of real gluons.