  The two point integrals contributing to the self energy of a particle in a
three dimensional quantum field theory are calculated to two loop order in
perturbation theory as well as the vacuum ones contributing to the effective
potential to three loop order. For almost every integral an expression in terms
of elementary and dilogarithm functions is obtained. For two integrals, the
master integral and the Mercedes integral, a one dimensional integral
representation is obtained with an integrand consisting only of elementary
functions. The results are applied to a scalar $\lambda\phi^4$ theory.
