Dynamical model for light composite fermions

A simple dynamical model for the internal structure of the three light lepton and quark generations (${\nu }_e$,$e$,$u$,$d$), (${\nu }_{\mu }$,$\mu$,$c$,$s$), and (${\nu }_{\tau }$,$\tau$,$t$,$b$) is proposed. Each generation is constructed of only one fundamental massive generation $F=(L^{\circ },L^{-},U,D)$ with the same ${\left(\mathrm{S}{\mathrm{U}}_3\right)}_c\times \mathrm{S}{\mathrm{U}}_2\times {\mathrm{U}}_1$ quantum numbers as the light generations, bound to a core of one or more massive Higgs bosons $H$, where $H$ is the single physical Higgs boson necessary for spontaneous symmetry breaking in the standard model. For example, $e^{-}=\left[L^{-}H\right]$, ${\mu }^{-}=\left[L^{-}HH\right]$, ${\tau }^{-}=\left[L^{-}HHH\right]$. It is shown that the known binding force due to $H$ exchange is attractive and strong enough to produce light bound states. Dynamical calculations for the bound-state composite fermions using the Bethe-Salpeter equation, together with some phenomenological imput, suggest $M_H\sim 16$ TeV and $M_F\sim 100$ GeV. It is likely that such bound states can have properties compatible with the up to now apparently elementary appearance of known fermions, for example, their Dirac magnetic moments and absence of intergeneration radiative decays (such as $\mu \to e\delta$). Phenomenological consequences and tests of the model are discussed.