  The leading-order weak-coupling shear viscosity of QCD was computed almost 20
years ago, and the extension to next-to-leading order is 4 years old. But these
results have never been applied at finite baryon chemical potential $\mu$,
despite the fact that intermediate-energy heavy ion collisions and merging
neutron stars may explore the Quark-Gluon Plasma in a regime where baryon
chemical potentials are large. Here we extend the leading-log shear viscosity
calculation to finite $\mu$, and we argue that the convergence of the
weak-coupling expansion, while questionable for achievable plasmas, should be
better at $\mu > T$ than at $\mu=0$.
