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Quark masses and their hierarchies
Authors:M. Ida
Affiliation:1. Department of Physics, Kobe University, 657, Kobe, Japan
Abstract:Electroweak symmetry breaking is attributed to dynamical generation of quark masses. Quarksq (and leptonsl) are assumed to be produced by hypercolor confinement of preons at an intermediate scaleΛ hc. Hierarchies observed in theq mass spectra can be explained by a BCS mechanism if the color interaction is enough asymptotically free and if residual ones emerging by the confinement are medium strong. The former assumption claims thatN≦4, whereN is the family number ofq andl. Dynamical equations to determineq masses and mixings are given, but they require knowledge on the physics atΛ hc. A phenomenological approach is also made on the basis of anSU(7)×SU(7) chiral preon model withN=4. The mass ratiom t/mb is related to (m c/m s)ηB withη B?1.1 andm t'/mb' to (m u/m d)ηA withη A?1.4. In this scheme the fourth down quark is the heaviest (~ 110 GeV) and contributes dominantly toF 2, whereF is the Fermi scale.
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