Gluon radiation from a classical point particle: Recoil effects

TL;DR

This paper develops a modified classical gluon radiation formula that accounts for recoil effects, aligning with perturbative results at high gluon momentum, enhancing understanding of gluon emission in high-energy collisions.

Contribution

It introduces a recoil-inclusive classical gluon radiation formula, bridging classical and quantum descriptions in high-energy particle interactions.

Findings

The new formula correctly reproduces high-momentum gluon radiation behavior.

Comparison with known results validates the recoil modifications.

Enhances classical models to better match quantum perturbative results.

Abstract

We propose a formula for gluon radiation in the fragmentation region. By comparing tree-level bremsstrahlung of a spin-less quark to the known result for gluon radiation from a classical particle struck by a sheet of colored glass arXiv:1903.01381, arXiv:1911.12738 we modify the classical formula to take into account the recoil of the struck particle. The new formula produces the correct perturbative behaviour at high momentum of the radiated gluon.