Exact results for non-holomorphic masses in softly broken supersymmetric gauge theories

We consider strongly coupled supersymmetric gauge theories softly broken by the addition of gaugino masses mλ and (non-holomorphic) scalar masses m2, taken to be small relative to the dynamical scale Λ. For theories with a weakly coupled dual description in the infrared, we compute exactly the leading soft masses for the “magnetic” degrees of freedom, with uncalculable corrections suppressed by powers of (mλ/Λ),(m/Λ). The exact relations hold between the infrared fixed point “magnetic” soft masses and the ultraviolet fixed point “electric” soft masses, and correspond to a duality mapping for soft terms. We briefly discuss implications of these results for the vacuum structure of these theories.