  It is shown by explicit calculation that the one-loop mass renormalization of
the Higgs boson in the standard model is gauge-independent. It could even be
rendered finite if the following mass relationships were satisfied: $m_t^2
\simeq m_H^2 = (2 M_W^2 + M_Z^2)/3$. Numerically, this would imply $m_t \simeq
84~GeV$ which is below the current experimental lower bound of 91 GeV, but
since higher-order corrections are yet to be calculated, the above hypothesis
could still have a chance of being realized.

High Energy Physics - Phenomenology