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

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