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Systematic effects of the quenched approximation on the strong penguin contribution to epsilon'/epsilon

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arxiv hep-lat/0603025 v2 pith:52RWH2JA submitted 2006-03-29 hep-lat

classification hep-lat
keywords epsilonquenchedapproximationchiralcontributionpenguinstrongperturbation
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the implementation and properties of the quenched approximation in the calculation of the left-right, strong penguin contributions (i.e. Q_6) to epsilon'/epsilon. The coefficient of the new chiral logarithm, discovered by Golterman and Pallante, which appears at leading order in quenched chiral perturbation theory is evaluated using both the method proposed by those authors and by an improved approach which is free of power divergent corrections. The result implies a large quenching artifact in the contribution of Q_6 to epsilon'/epsilon. This failure of the quenched approximation affects only the strong penguin operators and so does not affect the Q_8 contribution to epsilon'/epsilon nor Re A_0, Re A_2 and thus the Delta I=1/2 rule at tree level in chiral perturbation theory.

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