In large-Nc and harmonic oscillator limits, medium-induced splittings are computed analytically double-differential in z and θ, with an improved semi-hard approximation validated for high-energy partons.
Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
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abstract
The medium induced energy loss spectrum of a high energy quark or gluon traversing a hot QCD medium of finite volume is studied. We model the interaction by a simple picture of static scattering centres. The total induced energy loss is found to grow as $L^2$, where $L$ is the extent of the medium. The solution of the energy loss problem is reduced to the solution of a Schr\"odinger-like equation whose ``potential'' is given by the single-scattering cross section of the high energy parton in the medium. These resuls should be directly applicable to a quark-gluon plasma.
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Including thermal parton collisions via the BGK kernel increases the collisional energy loss of a heavy quark in QGP by ~8% at large velocities for α_s=0.3 compared to the collisionless limit.
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Full energy fraction and angular dependence of medium-induced splittings in the large-$N_c$ limit
In large-Nc and harmonic oscillator limits, medium-induced splittings are computed analytically double-differential in z and θ, with an improved semi-hard approximation validated for high-energy partons.
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Energy Loss of a Heavy Quark in a Collisional Quark-Gluon Plasma
Including thermal parton collisions via the BGK kernel increases the collisional energy loss of a heavy quark in QGP by ~8% at large velocities for α_s=0.3 compared to the collisionless limit.