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

Abstract

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.

48 pages, 9 figures; references and comments added

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• Correlations between epsilon'/epsilon and Rare K Decays in the Littlest Higgs Model with T-Parity
• Progress in Kaon Physics on the Lattice
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• Quenched penguins, the Delta I=1/2 rule, and epsilon'/epsilon