HQ Collisional energy loss in a magnetized medium

Abstract

We study the effect of the magnetic field on the collisional energy loss of heavy quark (HQ) moving in a magnetized thermal partonic medium. This is investigated in the strong field approximation where the lowest Landau level (LLL) becomes relevant. We work in the limit $g\sqrt{eB}\ll T\ll \sqrt{eB}$ which is relevant for heavy ion collisions. Effects of the magnetic field are incorporated through the resummed gluon propagator in which the dominant contribution arises from the quark loop. We also take the approximation $\sqrt{eB}\ll M$, M being the HQ mass, so that the HQ is not Landau quantized. It turns out that there are only two types of scatterings that contribute to the energy loss of HQ; the Coulomb scattering of HQ with light quarks/anti-quarks and the t-channel Compton scattering. It is observed that for a given magnetic field, the dominant contribution to the collisional energy loss arises from Compton scattering process i.e., $Qg\to Qg$. On the other hand, of the two processes, the Coulomb scattering i.e., $Qq\to Qq$ is more sensitive to the magnetic field. The net collisional energy loss is seen to increase with increase in the magnetic field. For a reasonable strength of the magnetic field, the field dependent contribution to the collisional energy loss is of the same order as to the case without magnetic field which can be important for the jet quenching phenomena in the heavy ion collision experiments.

arXiv comment28 pages,4 figures

References in corpus (31)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• Reaction Operator Approach to Non-Abelian Energy Loss
• Electromagnetic field evolution in relativistic heavy-ion collisions
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Elastic, Inelastic, and Path Length Fluctuations in Jet Tomography
• Comments About the Electromagnetic Field in Heavy-Ion Collisions
• Heavy Quark Radiative Energy Loss in QCD Matter
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Review of Jet Measurements in Heavy Ion Collisions
• The electrical conductivity and soft photon emissivity of the QCD plasma
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Synchrotron radiation by fast fermions in heavy-ion collisions
• Anomalous Hydrodynamics
• Magnetic Field Effect on Charmonium Production in High Energy Nuclear Collisions
• Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
• A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions
• QCD sum rules for magnetically induced mixing between ${\eta }_c$ and $J/\psi$
• Quenching of Hadron Spectra in Heavy Ion Collisions at the LHC
• Heavy quark energy loss and D-Mesons at RHIC and LHC energies
• Heavy Quark Potential in a static and strong homogeneous magnetic field
• Centrality dependence of heavy flavor production from single electron measurement
• The charmonium dissociation in an "anomalous wind"
• Extracting jet transport coefficient via single hadron and dihadron productions in high-energy heavy-ion collisions
• Charmonium decay widths in magnetized matter
• Majorana flipping of quarkonium spin states in transient magnetic field
• Magnetohydrodynamics and charged currents in heavy ion collisions
• Collisional broadening of angular correlations in a multiphase transport model
• Discrimination of effective radiative and collisional in-medium energy-loss models by their effects on angular jet structure
• Heavy quark dynamics within a Boltzmann transport model: radiative vs collisional energy loss

Cited by in corpus (15)

• Anisotropic transport properties of Hadron Resonance Gas in magnetic field
• A review of quarkonia under strong magnetic fields
• Dissociation of heavy quarkonia in a weak magnetic field
• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Thermoelectric behaviour of hot collisional and magnetized QCD medium from an effective kinetic theory
• Thermal transport in a weakly magnetized hot QCD medium
• Heavy quark dynamics in a strongly magnetized quark-gluon plasma
• Dynamics of heavy flavour in a weakly magnetized hot QCD medium
• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Strongly interacting matter in extreme magnetic fields
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Non-perturbative heavy quark diffusion coefficients in arbitrarily magnetized quark-gluon plasma