A Unified Description of Quark and Lepton Mass Matrices in a Universal Seesaw Model.pdf

A Unified Description of Quark and Lepton Mass Matrices in a Universal Seesaw Model.pdf

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A Unified Description of Quark and Lepton Mass Matrices in a Universal Seesaw Model

a r X i v : h e p - p h / 0 2 0 9 1 4 8 v 1 1 3 S e p 2 0 0 2 A Unified Description of Quark and Lepton Mass Matrices in a Universal Seesaw Model Yoshio Koide? ? and Hideo Fusaoka?(a) Department of Physics, University of Shizuoka, 52-1 Yada, Shizuoka 422-8526, Japan (a) Department of Physics, Aichi Medical University, Nagakute, Aichi 480-1195, Japan (February 1, 2008) In the democratic universal seesaw model, the mass matrices are given by fLmLFR+FLmRfR+ FLMFFR (f : quarks and leptons; F : hypothetical heavy fermions), mL and mR are universal for up- and down-fermions, and MF has a structure (1+bfX) (bf is a flavour-dependent parameter, and X is a democratic matrix). The model can successfully explain the quark masses and CKM mixing parameters in terms of the charged lepton masses by adjusting only one parameter, bf . However, so far, the model has not been able to give the observed bimaximal mixing for the neutrino sector. In the present paper, we consider that MF in the quark sectors are still “fully” democratic, while MF in the lepton sectors are partially democratic. Then, the revised model can reasonably give a nearly bimaximal mixing without spoiling the previous success in the quark sectors. PACS numbers: 14.60.Pq, 12.15.Ff, 11.30.Hv I. INTRODUCTION A. What is the universal seesaw model? Stimulated by the recent progress of neutrino experi- ments, there has been considerable interest in a unified description of the quark and lepton mass matrices. As one of such unified models, a non-standard model, the so- called “universal seesaw model” (USM) [1] is well known. The model describes not only the neutrino mass matrix Mν but also the quark mass matrices Mu and Md and the charged lepton mass matrix Me by seesaw-type ma- trices, universally: the model has hypothetical fermions Fi (F = U,D,N,E; i = 1, 2, 3) in addition to the conven- tional quarks and leptons fi (f = u, d, ν, e; i = 1, 2, 3), and these fermions are assigned to fL = (2, 1), fR = (1, 2), FL = (1

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