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

Abstract

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.

arXiv comment43 pages, 2 figures, uses RevTeX, added and updated references

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Cited by in corpus (5)

• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• Lattice determination of the $K\to (\pi \pi {)}_{I=2}$ Decay Amplitude $A_2$
• Chiral perturbation theory, K to pi pi decays and 2+1 flavor domain wall QCD
• Possible lattice approach to B to D pi (K) matrix elements
• Delta I = 3/2, K to Pi Pi Decays with a Nearly Physical Pion Mass