Linking the geometric mass hierarchy with threefold family replication
Aharon Davidson; Tomer Schwartz; Raymond R Volkas
Журнал:
Journal of Physics G: Nuclear and Particle Physics
Дата:
1999-08-01
Аннотация:
A link is established between the observed (approximate) geometric mass hierarchy of quarks and leptons and the triangular structure of their tenable flavour representations. This singles out SU(3)<sub>H</sub> as the horizontal flavour group, thereby linking the Fermi mass hierarchy with the threefold family replication. These linkages are exploited within a flavour-chiral SU(3)<sub>H</sub> model, with fermions and Higgs bosons in the representation. The model is left-right symmetric and utilizes the universal see-saw mechanism with a geometric mass suppression pattern. Given certain assumptions, the model produces the following mass-ratio (rather than square-mass-ratio) mixing angle relations {V<sub>cb</sub> = -V<sub>ts</sub> = m<sub>s</sub>m<sub>b</sub>+ m<sub>c</sub>m<sub>t</sub>}, {V<sub>ub</sub> = (2m<sub>c</sub>m<sub>t</sub>- m<sub>s</sub>m<sub>b</sub>)<sub>C</sub>}, {V<sub>td</sub> = (2m<sub>s</sub>m<sub>b</sub>- m<sub>c</sub>m<sub>t</sub>)<sub>C</sub>}, and fixes the {m<sub>u</sub>m<sub>d</sub>} ratio.
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