An Upper Bound on the Higgs Boson Mass from a Positivity Condition on   the Mass Matrix
  We impose the condition that the eigenvalues of the mass matrix in the shifted Lagrangian density be positive at \phi=\phi_{0}, the vacuum expectation value of the scalar field. Using the one-loop effective potential of the standard model, this condition leads to an upper bound on the Higgs boson mass m_{H}: m_{H}<230GeV, for a top quark mass of 175GeV. 
Ali Al-Naghmoush, Murat \"Ozer and M. O. Taha