# A non-perturbative estimate of the heavy quark momentum diffusion coefficient

Francis A, Kaczmarek O, Laine M, Neuhaus T, Ohno H (2015)
Physical Review D 92: 116003.

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Abstract
We estimate the momentum diffusion coefficient of a heavy quark within a pure SU(3) plasma at a temperature of about 1.5Tc. Large-scale Monte Carlo simulations on a series of lattices extending up to 192^3*48 permit us to carry out a continuum extrapolation of the so-called colour-electric imaginary-time correlator. The extrapolated correlator is analyzed with the help of theoretically motivated models for the corresponding spectral function. Evidence for a non-zero transport coefficient is found and, incorporating systematic uncertainties reflecting model assumptions, we obtain kappa = (1.8 - 3.4)T^3. This implies that the "drag coefficient", characterizing the time scale at which heavy quarks adjust to hydrodynamic flow, is (1.8 - 3.4) (Tc/T)^2 (M/1.5GeV) fm/c, where M is the heavy quark kinetic mass. The results apply to bottom and, with somewhat larger systematic uncertainties, to charm quarks.
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Francis A, Kaczmarek O, Laine M, Neuhaus T, Ohno H. A non-perturbative estimate of the heavy quark momentum diffusion coefficient. Physical Review D. 2015;92: 116003.
Francis, A., Kaczmarek, O., Laine, M., Neuhaus, T., & Ohno, H. (2015). A non-perturbative estimate of the heavy quark momentum diffusion coefficient. Physical Review D, 92, 116003. doi:10.1103/PhysRevD.92.116003
Francis, A., Kaczmarek, O., Laine, M., Neuhaus, T., and Ohno, H. (2015). A non-perturbative estimate of the heavy quark momentum diffusion coefficient. Physical Review D 92:116003.
Francis, A., et al., 2015. A non-perturbative estimate of the heavy quark momentum diffusion coefficient. Physical Review D, 92: 116003.
A. Francis, et al., “A non-perturbative estimate of the heavy quark momentum diffusion coefficient”, Physical Review D, vol. 92, 2015, : 116003.
Francis, A., Kaczmarek, O., Laine, M., Neuhaus, T., Ohno, H.: A non-perturbative estimate of the heavy quark momentum diffusion coefficient. Physical Review D. 92, : 116003 (2015).
Francis, A., Kaczmarek, Olaf, Laine, Mikko, Neuhaus, T., and Ohno, H. “A non-perturbative estimate of the heavy quark momentum diffusion coefficient”. Physical Review D 92 (2015): 116003.
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arXiv 1508.04543