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Model-independent determination of the strong-phase difference between ${D}^{0}$ and ${\overline{D}}^{0}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ decays

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{
  "DOI": "10.1103/PhysRevD.110.112008", 
  "abstract": "<p>Measurements of the strong-phase difference between ${D}^{0}$ and ${\\overline{D}}^{0}\\to {\\pi }^{+}{\\pi }^{-}{\\pi }^{+}{\\pi }^{-}$ are performed in bins of phase space. The study exploits a sample of quantum-correlated $D\\overline{D}$ mesons collected by the BESIII experiment in ${e}^{+}{e}^{-}$ collisions at a center-of-mass energy of 3.773 GeV, corresponding to an integrated luminosity of $2.93\\text{}\\text{}{\\mathrm{fb}}^{-1}$. Here, $D$ denotes a neutral charm meson in a superposition of flavor eigenstates. The reported results are valuable for measurements of the $CP$-violating phase $\\gamma $ (also denoted ${\\varphi }_{3}$) in ${B}^{\u00b1}\\to D{K}^{\u00b1}$, $D\\to {\\pi }^{+}{\\pi }^{-}{\\pi }^{+}{\\pi }^{-}$ decays, and the binning schemes are designed to provide good statistical sensitivity to this parameter. The expected uncertainty on $\\gamma $ arising from the precision of the strong-phase measurements, when applied to very large samples of $B$-meson decays, is around 1.5\u00b0 or 2\u00b0, depending on the binning scheme. The binned strong-phase parameters are combined to give a value of ${F}_{+}^{4\\pi }=0.746\u00b10.010\u00b10.004$ for the $CP$-even fraction of ${D}^{0}\\to {\\pi }^{+}{\\pi }^{-}{\\pi }^{+}{\\pi }^{-}$ decays, which is around 30% more precise than the previous best measurement of this quantity.</p>", 
  "author": [
    {
      "family": "CERN \u0130\u015fbirli\u011fi"
    }
  ], 
  "container_title": "Physical Review D", 
  "id": "274535", 
  "issue": "11", 
  "issued": {
    "date-parts": [
      [
        2024, 
        12, 
        6
      ]
    ]
  }, 
  "title": "Model-independent determination of the strong-phase difference between ${D}^{0}$ and ${\\overline{D}}^{0}\\to {\\pi }^{+}{\\pi }^{-}{\\pi }^{+}{\\pi }^{-}$ decays", 
  "type": "article-journal", 
  "volume": "110"
}
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