Rare Kaon Decays on the Lattice

Details Rare Kaon Decays on the Lattice Rare Kaon Decays on the Lattice

2005-06-27

arxiv.org/abs/hep-lat/0506026v1

Phys.Lett. B633 (2006) 75-83

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, Latex, 2 figures

Scientific paper

10.1016/j.physletb.2005.11.044

We show that long distance contributions to the rare decays K -> pi nu nu-bar and K -> pi l+ l- can be computed using lattice QCD. The proposed approach requires well established methods, successfully applied in the calculations of electromagnetic and semileptonic form factors. The extra power divergences, related to the use of weak four-fermion operators, can be eliminated using only the symmetries of the lattice action without ambiguities or complicated non-perturbative subtractions. We demonstrate that this is true even when a lattice action with explicit chiral symmetry breaking is employed. Our study opens the possibility of reducing the present uncertainty in the theoretical predictions for these decays.

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