Medium-induced gluon emission via transverse and longitudinal scattering in dense nuclear matter

TL;DR

This paper investigates how a high-energy quark jet emits gluons when passing through dense nuclear matter, accounting for both transverse and longitudinal momentum exchanges, and extends existing models to include these effects.

Contribution

It introduces a comprehensive calculation of medium-induced gluon emission that includes both transverse and longitudinal scattering effects, extending previous models.

Findings

Derived a generalized gluon emission spectrum including longitudinal scattering.

Reduced to known models in specific limits, confirming consistency.

Provides a more complete description of jet quenching in nuclear matter.

Abstract

We study the medium-induced gluon emission from a hard quark jet traversing the dense nuclear matter within the framework of deep inelastic scattering off a large nucleus. We extend the previous work and compute the single gluon emission spectrum including both transverse and longitudinal momentum exchanges between the hard jet parton and the medium constituents. On the other hand, with only transverse scattering and using static scattering centers for the traversed medium, our induced gluon emission spectrum in the soft gluon limit reduces to the Gyulassy-Levai-Vitev one-rescattering-one-emission formula.