Reanalysis of pion pion phase shifts from K -> pi pi decays

Abstract

We re-investigate the impact of isospin violation for extracting the s-wave pion pion scattering phase shift difference delta_0(M_K) - delta_2(M_K) from K -> pi pi decays. Compared to our previous analysis in 2003, more precise experimental data and improved knowledge of low-energy constants are used. In addition, we employ a more robust data-driven method to obtain the phase shift difference delta_0(M_K) - delta_2(M_K) = (52.5 \pm 0.8_{exp} \pm 2.8_{theor}) degrees.

arXiv comment8 pages

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• A consistent picture for large penguins in D -> pi+ pi-, K+ K-
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• Theoretical overview of kaon decays
• Isospin-breaking contributions to ${\epsilon }^{\prime }/\epsilon$
• Kaon Physics: Theory Overview