Possible Finiteness of the Higgs-Boson Mass Renormalization

Abstract

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: $m_t^2\simeq m_H^2=(2M_W^2+M_Z^2)/3$. Numerically, this would imply $m_t\simeq 84GeV$ 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.

Comments: 9 pages (2 figures not included)