  High order perturbation theory corrections to the superfluid transition
temperature in a weakly interacting Fermi gas with repulsive interaction are
calculated. This involves calculating the contributions of third and fourth
order diagrams in the gas parameter and taking into account effects of
retardation. The contributions from both second, third and fourth orders result
in the effective attraction in p-wave channel. It is shown that the critical
temperature is mainly determined by second and third orders terms of
perturbation theory. The dependence of the critical temperature on an external
magnetic field is found. We discuss possible applications of the results to the
diluted 3He-4He mixtures and trapped neutral-atom Fermi gases.
