  We calculate the two-loop pressure of a plasma of quarks and gluons at finite
temperature and chemical potential using the hard thermal loop perturbation
theory (HTLpt) reorganization of finite temperature/density quantum
chromodynamics. The computation utilizes a high temperature expansion through
fourth order in the ratio of the chemical potential to temperature. This allows
us to reliably access the region of high temperature and small chemical
potential. We compare our final result for the two-loop HTLpt pressure at
finite temperature and chemical potential with perturbative quantum
chromodynamics (QCD) calculations and available lattice QCD results.
