Energy and momentum deposited into a QCD medium by a jet shower

TL;DR

This paper presents a self-consistent calculation of energy and momentum deposition by a jet shower in a QCD medium, linking energy loss to medium response and predicting a conical hydrodynamical pattern.

Contribution

It introduces a parameter-free formalism connecting jet energy loss with medium deposition using transport coefficients derived from perturbative QCD.

Findings

Computed energy deposition using HTL approximation.

Predicted a conical hydrodynamical response pattern.

Linked energy loss to medium response without free parameters.

Abstract

Hard partons moving through a dense QCD medium lose energy by radiative emissions and elastic scatterings. Deposition of the radiative contribution into the medium requires rescattering of the radiated gluons. We compute the total energy loss and its deposition into the medium self-consistently within the same formalism, assuming perturbative interaction between probe and medium. The same transport coefficients that control energy loss of the hard parton determine how the energy is deposited into the medium; this allows a parameter free calculation of the latter once the former have been computed or extracted from experimental energy loss data. We compute them for a perturbative medium in hard thermal loop (HTL) approximation. Assuming that the deposited energy-momentum is equilibrated after a short relaxation time, we compute the medium's hydrodynamical response and obtain a conical pattern that is strongly enhanced by showering.