  Temperature effects on the neutron matter equation of state are investigated
in the framework of chiral effective field theory. Latest, state-of-the-art
chiral two-nucleon forces are applied from third to fifth order in the chiral
expansion together with chiral three-nucleon forces, allowing for a
determination of the truncation error of the theoretical predictions. The
thermodynamic quantities considered include the chemical potential, the
internal energy, the entropy, and the free energy. In general, good
order-by-order convergence of all predictions is observed. As to be expected,
temperature effects are largest at low density. The temperature dependence of
the chiral three-nucleon force turns out to be weak.
