dE/dx to Subleading Order in the Plasma Density

Dimensional continuation is employed to compute the energy loss rate for a non-relativistic particle moving through a highly ionized plasma. No restriction is made on the charge, mass, or speed of this particle, but it is assumed that the plasma is not strongly coupled in that the dimensionless plasma coupling parameter g= e^2 \kappa_D/4\pi T is small, where \kappa_D is the Debye wave number. To leading order in this coupling, dE/dx is of the generic form g^2 \ln[g^2 C]. The prefactor of the logarithm is well known. We compute the constant C under the logarithm exactly. Our result differs from approximations given in the literature, with differences in the range of about 20% for cases relevant to inertial confinement fusion experiments.