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Analysis and interpretation of new low-energy Pi-Pi scattering data
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The recently published E865 data on charged K_e4 decays and Pi-Pi phases are reanalyzed to extract values of the two S-wave scattering lengths, of the subthreshold parameters alpha and beta, of the low-energy constants l3-bar and l4-bar as well as of the main two-flavour order parameters: <u-bar u> and F_pi in the limit m_u = m_d = 0 taken at the physical value of the strange quark mass. Our analysis is exclusively based on direct experimental information on Pi-Pi phases below 800 MeV and on the new solutions of the Roy equations by Ananthanarayan et al. The result is compared with the theoretical prediction relating 2 a_0^0 - 5 a_0^2 and the scalar radius of the pion, which was obtained in two-loop Chiral Perturbation Theory. A discrepancy at the 1-sigma level is found and commented upon.
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Cited by 1 Pith paper
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Role of electromagnetic corrections in the $\pi\pi$ distributions of $\psi^\prime \to J/\psi \pi \pi$
Electromagnetic corrections alter the π⁺π⁻-threshold cusp magnitude by ~2–3% in ψ′→J/ψπ⁰π⁰, so they must be included for precision extraction of S-wave ππ scattering lengths.
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