High density limit of the correlation energy of a two dimensional electron liquid in the presence of Rashba spin-orbit

We obtain analytic expressions for the high density limit of the correlation energy of a two dimensional electron liquid in the presence of Rashba spin-orbit. As a byproduct we have derived an analytic expression for the dependence of the ring diagrams contribution to this quantity on the fractional spin polarization of the system in the absence of spin-orbit. We will show that the latter is not properly represented by current standard interpolation formulas obtained from Monte-Carlo calculations.