Decoupling of the ε-scalar mass in softly broken supersymmetry

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