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

Lopez Castro, G.;Pestieau, Jean
(2006) Modern Physics Letters A — Vol. 22, n° 38, p. 2909-2916 (2007)

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Authors
  • Lopez Castro, G.
    Author
  • Pestieau, JeanUCLouvain
    Author
Abstract
(en) 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. Comment: 6 pages
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Lopez Castro, G., & Pestieau, J. (2006). The Unit of electric charge and the mass hierarchy of heavy particles. Modern Physics Letters A, 22(38), 2909-2916. https://doi.org/10.1142/S0217732307025868 (Original work published 2007)