The unit of electric charge and the mass hierarchy of heavy particles
Abstract
We propose some empirical formulae relating the masses of the heaviest particles in the standard model (the W,Z,H bosons and the t quark) to the charge of the positron e and the Higgs condensate v. The relations for the masses of gauge bosons mW = (1+e)v/4 and mZ=sqrt(1+e2)/2*(v/2) are in excellent agreement with experimental values. By requiring the electroweak standard model to be free from quadratic divergencies at the one-loop level, we find: mt=v/sqrt2 and mH=v/sqrt2e, or the very simple ratio (mt/mH)2=e.
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