  Generating gaugino masses at the leading order has typically been difficult
in direct/semi-direct gauge mediated supersymmetry breaking models. The
Komargodski-Shih theorem has established that local stability of the
supersymmetry breaking vacuum implies a vanishing leading order gaugino mass in
generic renormalizable O'Raifeartaigh models. We relax the condition of
renormalizability and investigate the possibility to evade the KS no-go theorem
using higher dimensional operators in the Kahler potential and the
superpotential. We demonstrate that higher dimensional terms which are
polynomial in superfields are not adequate to evade the KS theorem. We narrow
down on the possible class of non-polynomial corrections that can induce
unsuppressed gaugino mass in a global supersymmetry breaking vacuum. We find
that these models are tantalizingly close to the theories obtained from
strongly coupled supersymmetry breaking schemes.
