A Composite Model of Quarks with the 'Effective Supersymmetry'

We present a composite model of quarks with `effective supersymmetry'. Themodel is based on the gauge group $(SU(2)_S \times SU(2)_M) \times (SU(2)_U\times SU(2)_C \times SU(2)_T) \times SU(5)_{SM}$, where $SU(5)_{SM}$ is thestandard model gauge group. In the dynamical supersymmetry breaking sectorbased on the gauge group $SU(2)_S \times SU(2)_M$, supersymmetry is dynamicallybroken. The preon sector is constructed by the model proposed by Nelson andStrassler. The fermion mass hierarchy among the up-type quarks originates fromthe $SU(2)_U \times SU(2)_C \times SU(2)_T$ gauge dynamics. The supersymmetrybreaking is mediated to the minimal supersymmetric standard model sector by the`preon' superfields which compose the quarks in the first two generations. Toobtain an experimentally acceptable mass spectrum, the scalar quarks in thefirst two generations need masses of order 10 TeV, while the othersuperpartners need masses less than 1 TeV. Therefore, the mass spectrum in ourmodel is one example of the `effective supersymmetry' model proposed by Cohen,Kaplan and Nelson.Comment: 22 pages, uses REVTEX macro, revised manuscript to be published in Prog. Theor. Phy