Fermi liquid parameters in two dimensions with spin-orbit interaction

We derive analytical expressions for the quasiparticle lifetime τ, the effective mass m*, and the Green's function renormalization factor Z for a two-dimensional Fermi liquid with electron-electron interaction in the presence of the Rashba spin-orbit interaction. We find that the modifications are independent of the Rashba band index ρ, and occur in second order of the spin-orbit coupling α. In the derivation of these results, we also discuss the screening of the Coulomb interaction, as well as the susceptibility and the self-energy in small α.