We compute the shear viscosity, thermal conductivity, and spin diffusivity of a Fermi gas with short-range interactions in the Fermi liquid regime of the normal phase, that is, at temperatures T much lower than the Fermi temperature T₅ and larger than the superfluid critical temperature T₂. In line with recent advances in the precision of cold atom experiments, we provide exact results up to the second order in the interaction strength. We extend the Landau-Salpeter equation to compute the collision amplitude beyond the forward-scattering limit, covering all collisions on the Fermi surface. We treat the collision kernel exactly, leading to significant corrections beyond relaxation-time or variational approximations. The transport coefficients, as functions of the s wave scattering length a and Fermi wave number k₅, follow (1+k₅a) /a^2 up to corrections of order O (a^0), with a positive coefficient for the viscosity and negative one for the thermal conductivity and spin diffusivity.
Taillat et al. (Tue,) studied this question.