The Mach cone signal and energy deposition scenarios in linearized hydrodynamics

Abstract

Particle correlation measurements associated with a hard or semi-hard trigger in heavy-ion collisions may reflect Mach cone shockwaves excited in the bulk medium by partonic energy loss. This is of great interest because, when compared with theory, such measurements can provide information on the transport properties of the medium. Specifically, the formation of Mach cone shockwaves is sensitive to the viscosity and speed of sound, as well as the detailed nature of the jet medium interaction. However, modeling the physics of shockwave excitation to obtain a meaningful comparison with the measured correlations is very challenging since the correlations arise from an interplay of perturbative as well as non-perturbative phenomena at different momentum scales. In this work we take a step in that direction by presenting a systematic study of the dependence of azimuthal particle correlations on the spatio-temporal structure of energy deposition into the medium. Our results indicate that detailed modeling of the evolution of an initially produced hard parton and the interaction of this evolving state with the medium is crucial, as both magnitude and shape of the shockwave signal show a strong dependence on the assumptions being made.

Expanded version, as accepted for publication in the Physical Review C. Now contains better discussion and more figures, including the effect of modifying the speed of sound on our results

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Cited by in corpus (27)

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• Pathlength dependence of energy loss within in-medium showers
• Novel Phenomena in Particle Correlations in Relativistic Heavy-Ion Collisions
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• Anisotropic flow of the fireball fed by hard partons
• Effective dynamics of a nonabelian plasma out of equilibrium
• Medium-modified Jets and Initial State Fluctuations as Sources of Charge Correlations Measured at RHIC
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• An operator definition and derivation of collisional energy and momentum loss in relativistic plasmas
• Relating $\hat{q}$, $\eta /s$ and $\Delta E$ in an expanding Quark-Gluon Plasma
• Head shock vs Mach cone: azimuthal correlations from 2 to 3 parton processes in relativistic heavy-ion collisions
• Jet asymmetry and momentum imbalance from $2\to 2$ and $2\to 3$ partonic processes in relativistic heavy-ion collisions
• Impact of the energy loss spatial profile and shear viscosity to entropy density ratio for the Mach cone vs. head shock signals produced by a fast moving parton in a quark-gluon plasma
• Stimulation of static deconfined medium by multiple hard partons
• Feeding of the elliptic flow by hard partons
• System-size scan of dihadron azimuthal correlations in ultra-relativistic heavy ion collisions
• Monte Carlo Tools for Jet Quenching
• Jet momentum balance independent of shear viscosity
• Monte Carlo simulations of jet quenching in heavy ion collisions
• A derivation of the source term induced by a fast parton from the quark energy-momentum tensor