It has been shown recently that the introduction of an unphysical $\epsilon$-scalar mass $\tilde{ m}$ is necessary for the proper renormalization of softly broken supersymmetric theories by dimensional reduction ($\drbar$). 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.
Categories: hep-ph