The in-medium scale evolution in jet modification

TL;DR

This paper derives a modified in-medium DGLAP evolution equation for jet fragmentation functions, incorporating higher twist effects, and compares the results with experimental DIS data to understand jet quenching in dense matter.

Contribution

It introduces a generalized in-medium fragmentation function with distance dependence and a resummation approach including next-to-leading twist effects.

Findings

The modified evolution equation matches experimental suppression data.

In-medium virtuality evolution provides insights into jet quenching.

Numerical results support the significance of higher twist corrections.

Abstract

The in-medium modification of the scale dependence of the fragmentation function in dense matter, brought about by higher twist corrections to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations, is derived. A phenomenologically motivated resummation is outlined which incorporates the next-to-leading twist single gluon emission kernel along with the vacuum emission kernel and provides an in-medium virtuality evolution of the final fragmentation function of a hard jet propagating through dense matter. The concept of a fragmentation function is generalized to include a dependence on distance traveled in the medium. Following this, numerical implementations are carried out and compared to experimental results on the single inclusive suppression observed in Deep-Inelastic scattering (DIS) off a large nucleus.