Abstract:The origin of the observed scaling violations in inclusive e'e' * Work supported in part by the Department of Energy under contract number DE-ACU3-76SF00515.
“…When at a later stage in our simulation the QGP reaches the critical temperature T c = 200 GeV, we assume that the heavy quarks fragment into heavy mesons, described by the Peterson function [36] …”
Section: Monte Carlo Simulation With Quantum Transition Ratesmentioning
We develop a transport approach for heavy quarks in a quark-gluon plasma, which is based on improved binary collision rates taking into account quantum statistics, the running of the QCD coupling and an effective screening mass adjusted to hard-thermal loop calculations. We quantify the effects of in-medium collisions by calculating the heavy flavor nuclear modification factor and the elliptic flow for RHIC energies, which are comparable to radiative effects. We also derive an analytic formula for the mean collisional energy loss of an energetic heavy quark in a streaming quark gluon plasma.
“…When at a later stage in our simulation the QGP reaches the critical temperature T c = 200 GeV, we assume that the heavy quarks fragment into heavy mesons, described by the Peterson function [36] …”
Section: Monte Carlo Simulation With Quantum Transition Ratesmentioning
We develop a transport approach for heavy quarks in a quark-gluon plasma, which is based on improved binary collision rates taking into account quantum statistics, the running of the QCD coupling and an effective screening mass adjusted to hard-thermal loop calculations. We quantify the effects of in-medium collisions by calculating the heavy flavor nuclear modification factor and the elliptic flow for RHIC energies, which are comparable to radiative effects. We also derive an analytic formula for the mean collisional energy loss of an energetic heavy quark in a streaming quark gluon plasma.
“…where f A q (x) is the quark distribution and D Q→H (z H ) is the non-perturbative heavy quark fragmentation function in vacuum [30][31][32][33]. The hard partonic part is…”
Multiple scattering, induced radiative energy loss and modified fragmentation functions of a heavy quark in nuclear matter are studied within the framework of generalized factorization in perturbative QCD. Modified heavy quark fragmentation functions and energy loss are derived in detail with illustration of the mass dependencies of the Landau-Pomeranchuk-Migdal interference effects and heavy quark energy loss. Due to the quark mass dependence of the gluon formation time, the nuclear size dependencies of nuclear modification of the heavy quark fragmentation function and heavy quark energy loss are found to change from a linear to a quadratic form when the initial energy and momentum scale are increased relative to the quark mass. The radiative energy loss of the heavy quark is also significantly suppressed due to limited cone of gluon radiation imposed by the mass. Medium modification of the heavy quark fragmentation functions is found to be limited to the large z region due to the form of heavy quark fragmentation functions in vacuum.
“…At the proper-time τ ≡ t 2 −z 2 = τ 0 we started following the Langevin dynamics of the quarks until hadronization. The latter was modeled using Peterson fragmentation functions [17], with branching fractions into the different hadrons taken from Refs. [18,19].…”
Section: Numerical Results: Single-electron Spectra At Rhic and Lhcmentioning
We study the stochastic dynamics of c and b quarks in the hot plasma produced in nucleus-nucleus collisions at RHIC and LHC, providing results for the nuclear modification factor R AA and the elliptic flow coefficient v 2 of the singleelectron spectra arising from their semi-leptonic decays. The initial QQ pairs are generated using the POWHEG code, implementing pQCD at NLO. For the propagation in the plasma we develop a relativistic Langevin equation (solved in a medium described by hydrodynamics) whose transport coefficients are evaluated through a first-principle calculation. Finally, at T c , the heavy quarks are made hadronize and decay into electrons: the resulting spectra are then compared with RHIC results. Predictions for LHC are also attempted.
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