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D.Gao, Y.Gao, Y.Gao, Y.Gao, Y. G.Garzia, I.Ge, P. T.An, Q.Geng, C.Gersabeck, E. M.Gilman, A.Goetzen, K.Gong, L.Gong, W. X.Gradl, W.Greco, M.Gu, L. M.Gu, M. H.Bai, X. H.Gu, S.Gu, Y. T.Guan, C. YGuo, A. Q.Guo, L. B.Guo, R. P.Guo, Y. P.Guskov, A.Han, T. T.Han, W. Y.Measurement of the $D → K^−π^+π^+π^−$ and $D → K^−π^+π^0$ coherence factors and average strong-phase differences in quantum-correlated $ D\overline{D} $ decaysinfo:eu-repo/classification/ddc/530electron positron: annihilationelectron positron: colliding beamsD0: pair productionD0: hadronic decayCKM matrix: unitaritycoherenceBESBeijing Storphase spacestatisticalpsi(3770): electroproductionBELLELHC-Bcharmexperimental resultspsi(3770) --> D0 anti-D0D0 --> K- 2pi+ pi-D0 --> K- pi+ pi0Charm physicse+-e− ExperimentsCKM angle gammaThe decays D → K$^{−}$π$^{+}$π$^{+}$π$^{−}$ and D → K$^{−}$π$^{+}$π$^{0}$ are studied in a sample of quantum-correlated $ D\overline{D} $ pairs produced through the process e$^{+}$e$^{−}$ → ψ(3770) → $ D\overline{D} $, exploiting a data set collected by the BESIII experiment that corresponds to an integrated luminosity of 2.93 fb$^{−1}$. Here D indicates a quantum superposition of a D$^{0}$ and a $ {\overline{D}}^0 $ meson. By reconstructing one neutral charm meson in a signal decay, and the other in the same or a different final state, observables are measured that contain information on the coherence factors and average strong-phase differences of each of the signal modes. These parameters are critical inputs in the measurement of the angle γ of the Unitarity Triangle in B$^{−}$ → DK$^{−}$ decays at the LHCb and Belle II experiments. The coherence factors are determined to be R$_{K3π}$ = $ {0.52}_{-0.10}^{+0.12} $ and $ {R}_{K{\pi \pi}^0} $ = 0.78 ± 0.04, with values for the average strong-phase differences that are $ {\delta}_D^{K3\pi }=\left({167}_{-19}^{+31}\right){}^{\circ} $ and $ {\delta}_D^{K{\pi \pi}^0}=\left({196}_{-15}^{+14}\right){}^{\circ} $, where the uncertainties include both statistical and systematic contributions. The analysis is re-performed in four bins of the phase-space of the D → K$^{−}$π$^{+}$π$^{+}$π$^{−}$ to yield results that will allow for a more sensitive measurement of γ with this mode, to which the BESIII inputs will contribute an uncertainty of around 6°.[graphic not available: see fulltext]Journal of high energy physics 2021(5), 164 (2021). doi:10.1007/JHEP05(2021)164info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionSISSA2021info:eu-repo/semantics/openAccessDEhttps://repository.gsi.de/record/245694https://repository.gsi.de/search?p=id:%22GSI-2022-00034%22Researchersinfo:eu-repo/semantics/altIdentifier/arxiv/arXiv:2103.05988info:eu-repo/semantics/altIdentifier/issn/1029-8479info:eu-repo/semantics/altIdentifier/wos/WOS:000658363200001info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP05(2021)164info:eu-repo/semantics/altIdentifier/issn/1126-6708info:eu-repo/semantics/altIdentifier/issn/1127-2236info:eu-repo/semantics/altIdentifier/doi/10.15120/GSI-2022-00034