Decoupling of the $ϵ$-scalar mass in softly broken supersymmetry

It has been shown recently that the introduction of an unphysical $ϵ$-scalar mass $\tilde{m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\text{drbar}$). In these theories, both the two-loop $\beta$-functions of the scalar masses and their one-loop finite corrections depend on ${\tilde{m}}^2$. We find, however, that the dependence on ${\tilde{m}}^2$ can be completely removed by slightly modifying the \drbar renormalization scheme. We also show that previous \drbar calculations of one-loop corrections in supersymmetry which ignored the ${\tilde{m}}^2$ contribution correspond to using this modified scheme.