  Nonlinear sigma models on de Sitter background possess the same kind of
derivative interactions as gravity, and show the same sorts of large spacetime
logarithms in correlation functions and solutions to the effective field
equations. It was recently demonstrated that these logarithms can be resummed
by combining a variant of Starobinsky's stochastic formalism with a variant of
the renormalization group. This work considers one of these models and
completes two pieces of analysis which were left unfinished: the evolution of
the background at two loop order and the one loop beta function.
