Soft gluon emission from heavy quark scattering in strongly interacting quark-gluon plasma

Abstract

We apply the Low's theorem to soft gluon emission from heavy quark scattering in the nonperturbative strongly interacting quark-gluon plasma (sQGP). The sQGP is described in terms of the dynamical quasi-particles and adjusted to reproduce the EoS from lQCD at finite temperature and chemical potential. Since the emitted gluon is soft and of long wavelength, it does not provide information on the detailed structure of the scattering, and only the emission from incoming and outgoing partons is enough. It simplifies the calculations making the scattering amplitude factorizable into the elastic scattering and the emission of soft gluon. Imposing a proper upper limit on the emitted gluon energy, we obtain the guage-invariant scattering cross sections of heavy quarks with the massive partons of the medium as well as their transport coefficients (momentum drag and diffusion) in the QGP and compare with those from the elastic scattering without gluon emission.

14 pages, 10 figures

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Cited by in corpus (8)

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• Jet quenching parameter in QCD kinetic theory
• Inelastic and elastic parton scatterings in the strongly interacting quark-gluon plasma
• Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics
• Study of the heavy quarks energy loss through medium polarization, elastic collision and radiative processes
• Bremsstrahlung photon from a hadronizing quark-gluon plasma
• Suppression of the jet quenching parameter near the critical temperature