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: mt2 mH2 = (2 MW2 + MZ2)/3. Numerically, this would imply mt 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.

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