Vacuum fine tuning and masses of t-quark and Higgs boson

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.

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Schücker¹

2012

Acta Phys. Pol. B

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In this paper, we have considered supersymmetry algebra for pseudoharmonic potentials with an arbitrary radial angular momentum. We have obtained the bound states and wave functions by the associated Laguerre differential equation. We have factorized Schrödinger equation for pseudoharmonic potential in terms of first order differential equations, where these operators can make corresponding partner Hamiltonian. Therefore, by introducing superpotential, we obtained the pseudo-harmonic potential which gives rise to existence of shape invariance condition. In that case, we have calculated supercharge algebras. Finally, we have computed energy eigenvalues for several diatomic molecules.

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Vacuum fine tuning and masses of t-quark and Higgs boson

Cited by 3 publications

References 22 publications

The anatomy of electroweak symmetry breaking

The anatomy of electroweak symmetry breaking

The Unit of Electric Charge and the Mass Hierarchy of Heavy Particles

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