On the effects of (partial) quenching on penguin contributions to K-> pi pi

Details On the effects of (partial) quenching on penguin contributions to K-> pi pi On the effects of (partial) quenching on penguin contributions to K-> pi pi

2002-12-04

arxiv.org/abs/hep-lat/0212008v2

Phys.Rev. D69 (2004) 074503

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 1 figure, minor corrections

Scientific paper

10.1103/PhysRevD.69.074503

Recently, we pointed out that chiral transformation properties of strong penguin operators change in the transition from unquenched to (partially) quenched QCD. As a consequence, new penguin-like operators appear in the (partially) quenched theory, along with new low-energy constants, which should be interpreted as a quenching artifact. Here, we extend the analysis to the contribution of the new low-energy constants to the K^0 -> pi^+ pi^- amplitude, at leading order in chiral perturbation theory, and for arbitrary (momentum non-conserving) kinematics. Using these results, we provide a detailed discussion of the intrinsic systematic error due to this (partial) quenching artifact. We also give a simple recipe for the determination of the leading-order low-energy constant parameterizing the new operators in the case of strong $LR$ penguins.

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