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We study the renormalization of the DeltaS=1 effective weak Hamiltonian withoverlap fermions. The mixing coefficients among dimension-six operators arecomputed at one loop in perturbation theory. As a consequence of the chiralsymmetry at finite lattice spacing and of the GIM mechanism, which turns out tobe quadratic in the masses, the K-->pi pi and K -->pi matrix elements relevantfor the Delta I =1/2 rule can be computed without any power subtractions. Theanalogous amplitudes for e'/e require one divergent subtraction only, which canbe performed non-perturbatively using K-->0 matrix elements.Comment: Latex, 19 pages, minor changes, to appear on Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>rule and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ε</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>/</mml:mo><mml:mi>ε</mml:mi></mml:math>with overlap fermions

Analysis of theΔI=1/2rule andε′/εwith overlap fermions