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arxiv: hep-ph/0609131 · v1 · submitted 2006-09-13 · ✦ hep-ph

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The unit of electric charge and the mass hierarchy of heavy particles

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classification ✦ hep-ph
keywords sqrtbosonschargemassesmodelparticlesstandardagreement
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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=sqrt{(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/sqrt{2} and m_H=v/sqrt{2e}, or the very simple ratio (m_t/m_H)^2=e.

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