Inverse Hierarchy Approach to Fermion Masses

Z. G. Berezhiani; R. Rattazzi

doi:10.1016/0550-3213(93)90057-V

paper

Inverse Hierarchy Approach to Fermion Masses

arXiv:hep-ph/9212245 · doi:10.1016/0550-3213(93)90057-V

Abstract

The first fermion family might play a special role in understanding the physics of flavour. This possibility is suggested by the observation that the up-down splitting within quark families increases with the family number: $m_{u} \sim m_{d}$ , $m_{c} > m_{s}$ , $m_{t} ≫ m_{b}$ . We construct a model that realizes this feature of the spectrum in a natural way. The inter-family hierarchy is first generated by radiative phenomena in a sector of heavy isosinglet fermions and then transferred to quarks by means of a universal seesaw. A crucial role is played by left-right parity and up-down isotopic symmetry. No family symmetry is introduced. The model implies $m_{u} / m_{d} >$ 0.5 and the Cabibbo angle is forced to be $\sim m_{d} / m_{s}$ . The top quark is naturally in the 100 GeV range, but not too heavy: $m_{t} <$ 150 GeV. Inspired by the mass matrices obtained in the model for quarks, we suggest an ansatz also including charged leptons. The differences between $u$ -, $d$ - and $e$ -type fermions are simply parametrized by three complex coefficients $\eps{u}$, $\eps{d}$ and $\eps{e}$. Additional consistent predictions are obtained: $m_{s}$ =100-150 MeV and $m_{u} / m_{d} <$ 0.75.

19 pages (standard TeX) + 1 table (cut out and LaTeX separately) + 1 figure (cut out and postscript separately); 2 additional figures available by fax upon request, LBL-32889, LMU-13/92

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From Fermion Mass Matrices to Neutrino Oscillations

Inverse Hierarchy Approach to Fermion Masses

Abstract

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