K to pi and K to 0 in 2+1 Flavor Partially Quenched Chiral Perturbation Theory

Details K to pi and K to 0 in 2+1 Flavor Partially Quenched Chiral Perturbation Theory K to pi and K to 0 in 2+1 Flavor Partially Quenched Chiral Perturbation Theory

2008-08-25

arxiv.org/abs/0808.3264v2

Phys.Rev.D78:094505,2008

Physics

High Energy Physics

High Energy Physics - Lattice

43 pages, 2 figures, uses RevTeX, added and updated references

Scientific paper

10.1103/PhysRevD.78.094505

We calculate results for K to pi and K to 0 matrix elements to next-to-leading order in 2+1 flavor partially quenched chiral perturbation theory. Results are presented for both the Delta I=1/2 and 3/2 channels, for chiral operators corresponding to current-current, gluonic penguin, and electroweak penguin 4-quark operators. These formulas are useful for studying the chiral behavior of currently available 2+1 flavor lattice QCD results, from which the low energy constants of the chiral effective theory can be determined. The low energy constants of these matrix elements are necessary for an understanding of the Delta I=1/2 rule, and for calculations of epsilon'/epsilon using current lattice QCD simulations.

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