Jet-medium interaction and conformal relativistic fluid dynamics

TL;DR

This paper develops a semi-analytical formalism to analyze how relativistic fluids respond to energy deposition from jets, focusing on soft particle production and medium recoil for various jet orientations and viscosities.

Contribution

It introduces a novel semi-analytical approach to study jet-medium interactions within conformal relativistic fluid dynamics.

Findings

Soft particle production varies with jet orientation and viscosity.

Recoil effects depend on jet direction and fluid viscosity.

The formalism enables mode-by-mode response analysis.

Abstract

A formalism to study the mode-by-mode response to the energy deposition of external hard partons propagating in a relativistic fluid is developed, based on a semi-analytical solution of conformal fluid-dynamics. The soft particle production resulting from the jet-medium interaction is calculated and the recoil of the viscous medium is studied for different orientations of the relativistic jets, and for different values of the specific shear viscosity $\eta/s$.