Using $K^0π^-\toπ^-$ transitions to compute $K\to(ππ)_{I=0}$ decay amplitudes at NLO in the chiral expansion

Details Using $K^0π^-\toπ^-$ transitions to compute $K\to(ππ)_{I=0}$ decay amplitudes at NLO in the chiral expansion Using $K^0π^-\toπ^-$ transitions to compute $K\to(ππ)_{I=0}$ decay amplitudes at NLO in the chiral expansion

2007-10-12

arxiv.org/abs/0710.2519v1

PoS LAT2007:357,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2007, Regensburg

Scientific paper

It is proposed to compute matrix elements for the (unphysical) $K^0\pi^-\to \pi^-$ transition to determine the next-to-leading order low energy constants of the weak chiral Lagrangian. This allows us to evaluate $K\to(\pi\pi)_{I=0}$ decay amplitudes at this level of precision. This approach has several significant advantages over the use of $K\to\pi\pi$ transitions, most notably the elimination of s-channel disconnected diagrams and the use of fewer inversions.

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