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 m W = (1 + e)v/4 and m Z = (1 + e 2 )/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: m t = v/ √ 2 and m H = v/ √ 2e, or the very simple ratio (m t /m H ) 2 = e.