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Cusp effects in meson decays

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arxiv 0912.3440 v1 pith:UXHD6NH4 submitted 2009-12-17 hep-ph hep-exnucl-ex

classification hep-phhep-exnucl-ex
keywords cuspdecayseffectsmassaccurateallowapplicationscabibbo
verification ladder T0 review T1 audit T2 compute T3 formal
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The pion mass difference generates a pronounced cusp in the pi0 pi0 invariant mass distribution of K+ --> pi0 pi0 pi+ decays. As originally pointed out by Cabibbo, an accurate measurement of the cusp may allow one to pin down the S-wave pion-pion scattering lengths to high precision. We present the non-relativistic effective field theory framework that permits to determine the structure of this cusp in a straightforward manner, including the effects of radiative corrections. Applications of the same formalism to other decay channels, in particular eta and eta' decays, are also discussed.

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  1. Novel method for determining the light quark mass ratio using $\eta'\to\eta \pi\pi$ decays

    hep-ph 2025-02 conditional novelty 7.0 of 10

    A novel unit-disk mapping of Dalitz plots is used to extract the light quark mass ratio Q = 22.3 ± 0.7 from BESIII data on η′ → ηππ decays.

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