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We systematically construct gauge-mediated supersymmetry- (SUSY-)breaking models with direct transmission of SUSY-breaking effects to the standard-model sector. We obtain a natural model with the gravitino mass m3/2 smaller than 1 keV as required from the standard cosmology. If all Yukawa coupling constants are of order one, the SUSY-breaking scale mSUSY transmitted into the standard-model sector is given by mSUSY0.1(αᵢ/4π)Λ where Λ is the original dynamical SUSY-breaking scale. Imposing mSUSY(10²--10³) GeV, we get Λ(10⁵--10⁶) GeV, which yields the gravitino mass m3/2(10^-2--1) keV.
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Izawa et al. (1997) studied this question.
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