Abstract
We study the energy loss of a heavy quark propagating in the quark-gluon plasma (QGP) in the framework of the Moller theory, including possible large Coulomb logarithms as a perturbation to BDMPSZ bremsstrahlung, described in the harmonic oscillator (HO) approximation. We derive the analytical expression that describes the energy loss in the entire emitted gluon frequency region. In the small frequencies region, for angles larger than the dead cone angle, the energy loss is controlled by the BDMPSZ mechanism, while for larger frequencies it is described by N = 1 term in the GLV opacity expansion. We estimate corresponding quenching rates for different values of the heavy quark path length and different m/E ratios.
Highlights
The energy loss of heavy quarks propagating through the media was widely discussed in recent years in different formalisms
The simulations carried in [10,11] show that in both harmonic oscillator (HO) and GLV approximations the quenching rate is approximately constant as a function of a quark mass up to θ ∼ 0.05 and starts to fall
We have calculated the the energy loss of heavy quark propagating through the quark-gluon plasma in the framework of the Moller theory due to the soft gluon emission
Summary
The energy loss of heavy quarks propagating through the media was widely discussed in recent years in different formalisms. It was found in [10,11] (see [12,13,14,15] for related research) that the dead cone effect is absent, both in the harmonic oscillator (HO) approximation to the BDMPSZ approach and in the first N = 1 term in the GLV opacity expansion [16,17,18] This observation leads to significant increase in the theoretical prediction for the heavy quark jet quenching rate. In a further development the authors of [23,24] obtained the formula for light quarks, that explicitly describes the diffusion and N = 1 GLV regime, and the intermediate region of frequencies, and is applicable to the dynamics of light quark quenching in the entire frequency region Their formula takes into account possible Coulomb interaction corrections to the LPM bremsstrahlung, treated as the perturbation.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
