  We present the results of the computation of the third order corrections to
the ground state energy of the diluted polarized gas of nonrelativistic spin
$1/2$ fermions interacting through a spin-independent repulsive two-body
potential.
  The corrections are computed within the effective field theory approach which
does not require specifying the interaction potential explicitly but only to
characterize it by only a few parameters - the scattering lengths $a_0$,
$a_1,\dots$ and effective radii $r_0,\dots$ - measurable in low energy
fermion-fermion elastic scattering.
  The corrections are computed semi-analytically, that is are expressed in
terms of two functions of the system's polarization.
  The functions are given by the integrals which can be easily evaluated using
the Mathematica built-in routines for numerical integration.
