epsilon '(K)/epsilon(K) in the chiral limit

The K --> pi pi system is analyzed in the chiral limit within the Standard Model. We discuss how to connect the short-distance running in the \DeltaS\ = 1 case to the matrix-elements calculated in a low-energy approximation i n a scheme-independent fashion. We calculate this correction and the result ing Wilson Coefficients. The matrix elements are calculated to next-to-lead ing order in the 1/N-c expansion and combined with the Wilson coefficients to calculate the two isospin amplitudes and epsilon'(K). The DeltaI = 1/2 r ule is reproduced within expected errors and we obtain a substantially larg er value for epsilon'(K)/epsilon (K) than most other analysises. We discuss the reasons for this difference. We also suggest that the X-boson method i s an option for lattice QCD calculations.