Matrix elements without quark masses on the lattice

We introduce a new parameterization of four-fermion matrix elements which d oes not involve quark masses and thus allows a reduction of systematic unce rtainties in physical amplitudes. As a result the apparent quadratic depend ence of epsilon'/epsilon On m(s)(mu) is removed. To simplify the matching b etween lattice and continuum renormalization schemes, we express our result s in terms of Renormalization Group Invariant B-parameters which are renorm alization-scheme and scale independent. As an application of our proposal, matrix elements of Delta I = 3/2 and SUSY Delta F = 2 (F = S, C, B) four-fe rmion operators have been computed.