Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-05-24
Nucl.Phys. B484 (1997) 80-96; Erratum-ibid. B494 (1997) 485
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 8 figures
Scientific paper
10.1016/S0550-3213(97)00228-9
Fermion mass models usually contain a horizontal symmetry and therefore fail to predict the exponential mass spectrum of the Standard Model in a natural way. In dynamical symmetry breaking there are different concepts to introduce a fermion mass spectrum, which automatically has the desired hierarchy. In constructing a specific model we show that in some modified gap equations periodic solutions with several fermion poles appear. The stability of these excitations and the application of this toy model are discussed. The mass ratios turn out to be approximately $e^\pi$ and $e^{2\pi}$. Thus the model explains the large ratios of fermion masses between successive generations in the Standard Model without introducing large or small numbers by hand.
Blumhofer Andreas
Hutter Marcus
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