Next to Leading Order Chiral Perturbation theory of $K π\to π$ and $K\toππ$ amplitudes

Details Next to Leading Order Chiral Perturbation theory of $K π\to π$ and $K\toππ$ amplitudes Next to Leading Order Chiral Perturbation theory of $K π\to π$ and $K\toππ$ amplitudes

2008-08-14

arxiv.org/abs/0808.1946v2

Phys.Rev.D80:014505,2009

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 2 figures

Scientific paper

10.1103/PhysRevD.80.014505

It is shown that the low energy coefficients of the next-to-leading order (NLO) chiral perturbation theory needed to determine $\Delta I=1/2$, $K\to\pi\pi$ decay amplitudes can be fixed by calculating $K\pi\to\pi$ amplitudes on lattice. Unlike using NLO $K\to\pi\pi$ amplitudes proposed by Laiho and Soni, simulating $K\pi\to\pi$ transitions on lattice does not require evaluations of s-channel disconnected diagrams which have been an obstacle in practice.

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