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Dispersion relations for $\eta'\to\eta\pi\pi$

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arxiv 1705.04339 v2 pith:J4RSAW3P submitted 2017-05-11 hep-ph hep-exnucl-exnucl-th

classification hep-phhep-exnucl-exnucl-th
keywords dispersivedecaydispersionunitarityaccountallowsamplitudeanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a dispersive analysis of the decay amplitude for $\eta'\to\eta\pi\pi$ that is based on the fundamental principles of analyticity and unitarity. In this framework, final-state interactions are fully taken into account. Our dispersive representation relies only on input for the $\pi\pi$ and $\pi\eta$ scattering phase shifts. Isospin symmetry allows us to describe both the charged and neutral decay channel in terms of the same function. The dispersion relation contains subtraction constants that cannot be fixed by unitarity. We determine these parameters by a fit to Dalitz-plot data from the VES and BES-III experiments. We study the prediction of a low-energy theorem and compare the dispersive fit to variants of chiral perturbation theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A Khuri-Treiman model with contact and one-pion-exchange production terms fits COMPASS's π1→3π freed-isobar data and produces a smooth 1.6 GeV structure in the extracted production strengths.

  3. $\phi \to 3\pi$ and $\phi\pi^{0}$ transition form factor from Khuri-Treiman equations

    hep-ph 2025-05 accept novelty 5.0 of 10

    A once-subtracted Khuri-Treiman analysis describes KLOE phi to 3pi and phi to pi0 gamma* data simultaneously, with a fitted subtraction constant near the sum-rule value.

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