  Recent calculations in one-loop and Gaussian appro- ximation, using the
so-called autonomous renormalization scheme, indicate a comparatively massive,
narrow Higgs excitation at about 2 TeV. Here I show that this result
qualitatively persists in the framework of a post-Gaussian variational
approximation for the pure O(N)-symmetric phi**4-theory for N>1. The method is
based on nonlinear transformations of path-integral variables, and the
optimization amounts to a Schwinger-Dyson-type summation of diagrams. In the
case of O(4), for example, I find M_Higgs = 2.3 TeV, compared to 1.9 TeV and
2.1 TeV in 1-loop and Gaussian approximation, respectively.
