Mach cones in an evolving medium

Abstract

The energy and momentum lost by a hard parton propagating through hot and dense matter has to be redistributed in the nuclear medium. Apart from heating the medium, there is the possibility that collective modes are excited. We outline a formalism that can be used to track the propagation of such a mode through the evolving medium if its dispersion relation is known. Under the assumption that a sound wave is created, we track the jet energy loss as a function of spacetime and follow the resulting mach cone throughout the fireball evolution.We compare with the angular correlation pattern of hard hadrons as obtained by the PHENIX collaboration and find good agreement with the data provided that a substantial fraction of jet energy ($\sim$ 90%) is deposited into a propagating mode and that the hot matter can be characterized by an EOS with a soft point (not necessarily a mixed phase).

5 pages, 3 figures, submitted to PRC

References in corpus (10)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Collective Flow signals the Quark Gluon Plasma
• The Fragility of High-pT Hadron Spectra as a Hard Probe
• Waking the Colored Plasma
• Mach shocks induced by partonic jets in expanding quark-gluon plasma
• Flow dependence of high $p_T$ parton energy loss in heavy-ion collisions
• Photonic measurements of the longitudinal expansion dynamics in Heavy-Ion collisions

Cited by in corpus (73)

• Jet quenching in high-energy heavy-ion collisions
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Review of Jet Measurements in Heavy Ion Collisions
• Jet quenching and medium response in high-energy heavy-ion collisions: a review
• Full jet in quark-gluon plasma with hydrodynamic medium response
• Indications of Conical Emission of Charged Hadrons at the BNL Relativistic Heavy Ion Collider
• Prospects of medium tomography using back-to-back hadron correlations
• Parton shower evolution in a 3-d hydrodynamical medium
• Transverse momentum and centrality dependence of dihadron correlations in Au+Au collisions at sqrt(s_NN)=200 GeV: Jet-quenching and the response of partonic matter
• Sonic Mach Cones Induced by Fast Partons in a Perturbative Quark-Gluon Plasma
• Azimuthal di-hadron correlations in d+Au and Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV from STAR
• The effect of triangular flow on di-hadron azimuthal correlations in relativistic heavy ion collisions
• The sound produced by a fast parton in the quark-gluon plasma is a "crescendo"
• Di-hadron azimuthal correlation and Mach-like cone structure in parton/hadron transport model
• Jet Shapes in Opaque Media
• Parton showers as sources of energy-momentum deposition in the QGP and their implication for shockwave formation at RHIC and at the LHC
• Through the blackness -- high p_T hadrons probing the central region of 200 AGeV Au-Au collisions
• A systematic comparison of jet quenching in different fluid-dynamical models
• Mach cones in the quark-gluon plasma: Viscosity, speed of sound, and effects of finite source structure
• The rapidity structure of Mach cones and other large angle correlations in heavy-ion collisions
• Interplay between core and corona components in high-energy nuclear collisions
• Interplay between Mach cone and radial expansion and its signal in $\gamma$-jet events
• Three-particle azimuthal correlations and Mach shocks
• Low- and Intermediate-p${}_T$ Di-hadron Distributions in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV from STAR
• The Mach cone signal and energy deposition scenarios in linearized hydrodynamics
• Universality of the diffusion wake in the gauge-string duality
• Radiative jet energy loss in a three-dimensional hydrodynamical medium and high $p_T$ azimuthal asymmetry of ${\pi }_0$ suppression at mid and forward rapidity at RHIC
• Fast partons as a source of energy and momentum in a perturbative quark-gluon plasma
• Mach Cones in Quark Gluon Plasma
• ZYAM and ${\mathbf{v}}_2$: Underestimating jet yields from dihadron azimuth correlations
• Mach cones in viscous heavy-ion collisions
• Three-Particle Correlations from Parton Cascades in Au+Au Collisions
• Non-linear waves in a Quark Gluon Plasma
• Medium-modified Jet Shapes and other Jet Observables from in-medium Parton Shower Evolution
• Thermal field theory derivation of the source term induced by a fast parton from the quark energy-momentum tensor
• Transverse momentum and pseudorapidity dependences of ${}^{\prime }{\mathbf{Mach}-\mathbf{like}}^{\prime }$ correlations for central Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Sound waves and solitons in hot and dense nuclear matter
• Methods for Jet Studies with Three-Particle Correlations
• Is hydrodynamics relevant to RHIC collisions?
• Anisotropic flow of the fireball fed by hard partons
• Solitons in relativistic mean field models
• Understanding jet quenching and medium response with di-hadron correlation
• A critical review of RHIC experimental results
• gamma-hadron correlations as a tool to trace the flow of energy lost from hard partons in heavy-ion collisions
• The space-time structure of the energy deposition into the bulk medium due to jet quenching
• Hard jet substructure in a multistage approach
• Korteweg - de Vries solitons in relativistic hydrodynamics
• Energy deposition in hard dihadron triggered events in heavy-ion collisions
• Focus talk on interactions between jets and medium
• Reaction plane angle dependence of dihadron azimuthal correlations from a multiphase transport model calculation
• Jet shape and redistribution of the lost energy from jets in Pb+Pb collisions at the LHC in a multiphase transport model
• On the presence of nonjet "higher harmonic" components in 2D angular correlations from high energy heavy ion collisions
• Three-particle cumulant Study of Conical Emission
• In-Medium Properties of Jets
• Two- and Three-Particle Jet-Like Correlations
• Conical Emission in Heavy Ion Collisions
• Prospects of Medium Tomography using 2-,3- and 4-Particle Correlations for a (semi-)hard Trigger
• Measurements of Dihadron Correlations Relative to the Event Plane in Au+Au Collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=200$ GeV
• Equation of state dependence of Mach cone like structures in Au+Au collisions
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics
• Jet modification in the next decade: a pedestrian outlook
• Signatures of Mach Shocks at RHIC
• Feeding of the elliptic flow by hard partons
• Stimulation of static deconfined medium by multiple hard partons
• From R_AA via correlations to jets - the long road to tomography
• The sound generated by a fast parton in the quark-gluon plasma is a crescendo
• Hard Probes are the "Meridian Line", sQGP is the Forbidden City
• Centrality and transverse momentum dependence of dihadron correlations in a hydrodynamic model
• Comparing different freeze-out scenarios in azimuthal hadron correlations induced by fast partons
• Jet-medium interactions: wakes in the QCD medium
• Elastic parton scattering and non-statistical event-by-event mean-pt fluctuations in Au + Au collisions at RHIC
• The effect of recoils on soft-drop-groomed observables in $\gamma$-tagged jets in a multistage approach