We present a new focus point supersymmetry-breaking scenario based on the supersymmetric E7 nonlinear sigma model. In this model, squarks and sleptons are identified with (pseudo) Nambu-Goldstone bosons. Their masses are generated only radiatively through gauge and Yukawa interactions, and they are much smaller than the gravitino and gaugino masses at a high energy scale. On the other hand, Higgs doublets belong to matter multiplets and hence may have unsuppressed supersymmetry-breaking soft masses. We consider their masses to be equal to the gravitino mass at the high energy scale, assuming the minimal Kähler potential for Higgs doublets. We show that the fine-tuning measure of the electroweak symmetry-breaking scale is reduced significantly to δ = 30-70, if the ratio of the gravitino mass to the gaugino mass is around 5/4. Also, the prospects for the discovery/exclusion of supersymmetric particles at the Large Hadron Collider and dark matter direct detection experiments are discussed.
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