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## A. Large SI and Large SD 

To have non-zero SI and SD signals, a Bino-Higgsino, Wino-Higgsino or Bino-Wino-Higgsino mix is required. In fact, appreciable SI and large SD signals can be generated as long as the Higgsino fraction is larger than O (10%). Note that the | µ | < 500 GeV points, which correspond to less fine-tuning in m$_{Z}$ , imply large SD signals. When the gaugino fraction is dominated by Wino rather than Bino, the relative size of g and g ′ gives a slight enhancement in the SI cross section. There can be further enhancement of the SI cross section if sgn( Z$_{B}$ ) ̸ = 

