  We reinvestigate the interesting phenomenon of symmetry nonrestoration at
high temperature in the multifield O(N_1) X O(N_2) model. We apply modified
self-consistent resummation (MSCR) in order to obtain the scalar dressed masses
and find in what circumstances a resummed multifield theory which has symmetry
(non)restoration can be renormalized. It is shown that, aside from the
consistency of the MSCR method, the basic ingredient that guarantees the
renormalization of a multifield model within a resummation approach is the T^2
mass behavior of field theory at high temperature.
