## Abstract

It is possible that the standard model (SM) is replaced around some transition energy Λ by a new, possibly Higgsless, "flavor gauge theory" such that the Yukawa (running) parameters of SM at E ∼ Λ show up an (approximate) flavor democracy (FD). We investigate the latter possibility by studying the renormalization group equations for the Yukawa couplings of SM with one and two Higgs doublets, by evolving them from given physical values at low energies (E {reversed tilde equals} 1 GeV) to Λ (∼Λ_{pole}) and comparing the resulting fermion masses and CKM matrix elements at E {reversed tilde equals} Λ for various m_{t}^{phy} and ratios ν_{u}/ν_{d} of vacuum expectation values. We find that the minimal SM and the closely related SM with two Higgs doublets (type I) show increasing deviation from FD when energy is increased, but that SM with two Higgs doublets (type II) clearly tends to FD with increasing energy-in both the quark and the leptonic sector (q-q and l-l FD). Furthermore, we find within the type-II model that, for Λ_{pole} ≪ Λ_{Plack}, m_{t}^{phy} can be less than 200 GeV in most cases of chosen ν_{u}/ν_{d}. Under the assumption that also the corresponding Yukawa couplings in the quark and the leptonic sector at E {reversed tilde equals} Λ are equal (l-q FD), we derive estimates of bounds on masses of top quark and tau-neutrino, which are compatible with experimental bounds.

Original language | English |
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Pages (from-to) | 290-312 |

Number of pages | 23 |

Journal | Nuclear Physics, Section B |

Volume | 407 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1993 Oct 18 |

### Bibliographical note

Funding Information:We would like to thank K.J. Abraham, R. Bönisch, H. Lange and E.A. Paschos for helpful discussions. G.C. wishes to thank the Deutsche Forschungsgemein-schaft (DFG) and Dortmund University for financial support during the progress of this work. C.S.K. wishes to thank the German Bundesministerium für Forsch-ung und Technologie (BMFT) for financial support during part of the progress of this work. The work of C.S.K. was also supported in part by the Korean Ministry of Education, Korean Science and Engineering Foundation, Center for Theoretical Physics, Seoul National University, and by Yonsei University Faculty Research Grant.

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics