We study the effect of shear and bulk viscosities on the heavy quark transport coefficient within the matrix model of semi QGP. Dissipative effects are incorporated through the first-order viscous correction in the quark/antiquark and gluon distribution function. It is observed that while the shear viscosity effects reduces the drag of heavy quark the bulk viscosity effects increase the drag and the diffusion coefficients of heavy quark. For finite values of η/s and ξ/s, Polyakov loop further decreases the drag and the diffusion coefficients as compared to perturbative QCD.
I. INTRODUCTIONThe aim of heavy ion collision (HIC) experiments is to characterize the properties of the deconfined state of matter namely the quark-gluon plasma (QGP) which is being created in these collisions. In this regard, the energy loss of heavy quark (HQ); especially charm and bottom; in the QGP medium is considered as one of the promising probes of QGP. There are two mechanisms that contribute to the energy loss of HQ; one is the radiative energy loss (medium induced gluon radiation) and the other is the collisional energy loss (i.e., scattering of HQ with thermalized medium partons). At low energy, the dominant contribution to the energy loss comes from the collision processes. The inmedium energy loss of HQ is manifested in the large elliptic flow i.e., v 2 and in the suppression of high momentum heavy flavored (HF) hadrons as compared to proton-proton collision [1][2][3][4][5][6][7].Heavy quarks are produced in the initial stages of the collisions during the hard scatterings governed by perturbative quantum chromodynamics (pQCD) mostly through gluon fusion [8]; for next-to-leading order production see Ref. [9,10]. Because of the large mass of HQ as compared to the temperature ranges accessible in the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) energies, the thermal production of HQ is negligible. Hence, once produced in the hard collisions, HQ propagates throughout the space-time evolution of the medium and interact with the light thermal partons (light quarks and gluons). Thus, the resulting effect of the interaction of HQ with the bulk medium modifies the spectra of HF hadrons. The interaction of HQ with the bulk medium is described by the scattering of HQ with the light thermal partons of the medium. At low momentum, the dominant contribution to the HQ scattering off of light quark and gluon in the thermal medium comes from the elastic scatterings and can be described by the diffusion process akin to Brownian motion. In addition, the thermalization of HQ in the bulk medium is also slowed down due to its large mass. Hence, the transport of non-equilibrated HQ in the thermalized medium of light quark and gluons yield valuable information about the medium throughout its propagation. In particular, while the low momentum interaction of HQ with the bulk medium is characterized by the spatial diffusion coefficient, the energy loss of HQ is described by the drag coefficient.The electron-positron yield ass...