Measurement of the $D \to K^-π^+π^+π^-$ and $D \to K^-π^+π^0$ coherence factors and average strong-phase differences in quantum-correlated ${D\bar{D}}$ decays
Creators: name: BESIII Collaboration
name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Ahmed, S.
name: Albrecht, M.
name: Aliberti, R.
name: Amoroso, A.
name: An, M. R.
name: An, Q.
name: Bai, X. H.
name: Bai, Y.
name: Bakina, O.
name: Ferroli, R. Baldini
name: Balossino, I.
name: Ban, Y.
name: Begzsuren, K.
name: Berger, N.
name: Bertani, M.
name: Bettoni, D.
name: Bianchi, F.
name: Bloms, J.
name: Bortone, A.
name: Boyko, I.
name: Briere, R. A.
name: Cai, H.
name: Cai, X.
name: Calcaterra, A.
name: Cao, G. F.
name: Cao, N.
name: Cetin, S. A.
name: Chang, J. F.
name: Chang, W. L.
name: Chelkov, G.
name: Chen, D. Y.
name: Chen, G.
name: Chen, H. S.
name: Chen, M. L.
name: Chen, S. J.
name: Chen, X. R.
name: Chen, Y. B.
name: Chen, Z. J
name: Cheng, W. S.
name: Cibinetto, G.
name: Cossio, F.
name: Cui, X. F.
name: Dai, H. L.
name: Dai, X. C.
name: Dbeyssi, A.
name: de Boer, R. E.
name: Dedovich, D.
name: Deng, Z. Y.
name: Denig, A.
name: Denysenko, I.
name: Destefanis, M.
name: De Mori, F.
name: Ding, Y.
name: Dong, C.
name: Dong, J.
name: Dong, L. Y.
name: Dong, M. Y.
name: Dong, X.
name: Du, S. X.
name: Fan, Y. L.
name: Fang, J.
name: Fang, S. S.
name: Fang, Y.
name: Farinelli, R.
name: Fava, L.
name: Feldbauer, F.
name: Felici, G.
name: Feng, C. Q.
name: Feng, J. H.
name: Fritsch, M.
name: Fu, C. D.
name: Gao, Y.
name: Gao, Y.
name: Gao, Y.
name: Gao, Y. G.
name: Garzia, I.
name: Ge, P. T.
name: Geng, C.
name: Gersabeck, E. M.
name: Gilman, A
name: Goetzen, K.
name: Gong, L.
name: Gong, W. X.
name: Gradl, W.
name: Greco, M.
name: Gu, L. M.
name: Gu, M. H.
name: Gu, S.
name: Gu, Y. T.
name: Guan, C. Y
name: Guo, A. Q.
name: Guo, L. B.
name: Guo, R. P.
name: Guo, Y. P.
name: Guskov, A.
name: Han, T. T.
name: Han, W. Y.
name: Hao, X. Q.
name: Harris, F. A.
name: He, K. L.
name: Heinsius, F. H.
name: Heinz, C. H.
name: Held, T.
name: Heng, Y. K.
name: Herold, C.
name: Himmelreich, M.
name: Holtmann, T.
name: Hou, G. Y.
name: Hou, Y. R.
name: Hou, Z. L.
name: Hu, H. M.
name: Hu, J. F.
name: Hu, T.
name: Hu, Y.
name: Huang, G. S.
name: Huang, L. Q.
name: Huang, X. T.
name: Huang, Y. P.
name: Huang, Z.
name: Hussain, T.
name: Hüsken, N
name: Andersson, W. Ikegami
name: Imoehl, W.
name: Irshad, M.
name: Jaeger, S.
name: Janchiv, S.
name: Ji, Q.
name: Ji, Q. P.
name: Ji, X. B.
name: Ji, X. L.
name: Ji, Y. Y.
name: Jiang, H. B.
name: Jiang, X. S.
name: Jiao, J. B.
name: Jiao, Z.
name: Jin, S.
name: Jin, Y.
name: Jing, M. Q.
name: Johansson, T.
name: Kalantar-Nayestanaki, N.
name: Kang, X. S.
name: Kappert, R.
name: Kavatsyuk, M.
name: Ke, B. C.
name: Keshk, I. K.
name: Khoukaz, A.
name: Kiese, P.
name: Kiuchi, R.
name: Kliemt, R.
name: Koch, L.
name: Kolcu, O. B.
name: Kopf, B.
name: Kuemmel, M.
name: Kuessner, M.
name: Kupsc, A.
name: Kurth, M. G.
name: Kühn, W.
name: Lane, J. J.
name: Lange, J. S.
name: Larin, P.
name: Lavania, A.
name: Lavezzi, L.
name: Lei, Z. H.
name: Leithoff, H.
name: Lellmann, M.
name: Lenz, T.
name: Li, C.
name: Li, C. H.
name: Li, Cheng
name: Li, D. M.
name: Li, F.
name: Li, G.
name: Li, H.
name: Li, H.
name: Li, H. B.
name: Li, H. J.
name: Li, J. L.
name: Li, J. Q.
name: Li, J. S.
name: Li, Ke
name: Li, L. K.
name: Li, Lei
name: Li, P. R.
name: Li, S. Y.
name: Li, W. D.
name: Li, W. G.
name: Li, X. H.
name: Li, X. L.
name: Li, Xiaoyu
name: Li, Z. Y.
name: Liang, H.
name: Liang, H.
name: Liang, H.
name: Liang, Y. F.
name: Liang, Y. T.
name: Liao, G. R.
name: Liao, L. Z.
name: Libby, J.
name: Lin, C. X.
name: Liu, B. J.
name: Liu, C. X.
name: Liu, D.
name: Liu, F. H.
name: Liu, Fang
name: Liu, Feng
name: Liu, H. B.
name: Liu, H. M.
name: Liu, Huanhuan
name: Liu, Huihui
name: Liu, J. B.
name: Liu, J. L.
name: Liu, J. Y.
name: Liu, K.
name: Liu, K. Y.
name: Liu, L.
name: Liu, M. H.
name: Liu, P. L.
name: Liu, Q.
name: Liu, Q.
name: Liu, S. B.
name: Liu, Shuai
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name: Liu, W. M.
name: Liu, X.
name: Liu, Y.
name: Liu, Y. B.
name: Liu, Z. A.
name: Liu, Z. Q.
name: Lou, X. C.
name: Lu, F. X.
name: Lu, F. X.
name: Lu, H. J.
name: Lu, J. D.
name: Lu, J. G.
name: Lu, X. L.
name: Lu, Y.
name: Lu, Y. P.
name: Luo, C. L.
name: Luo, M. X.
name: Luo, P. W.
name: Luo, T.
name: Luo, X. L.
name: Lusso, S.
name: Lyu, X. R.
name: Ma, F. C.
name: Ma, H. L.
name: Ma, L. L.
name: Ma, M. M.
name: Ma, Q. M.
name: Ma, R. Q.
name: Ma, R. T.
name: Ma, X. X.
name: Ma, X. Y.
name: Maas, F. E.
name: Maggiora, M.
name: Maldaner, S.
name: Malde, S.
name: Mangoni, A.
name: Mao, Y. J.
name: Mao, Z. P.
name: Marcello, S.
name: Meng, Z. X.
name: Messchendorp, J. G.
name: Mezzadri, G.
name: Min, T. J.
name: Mitchell, R. E.
name: Mo, X. H.
name: Mo, Y. J.
name: Muchnoi, N. Yu.
name: Muramatsu, H.
name: Nakhoul, S.
name: Nefedov, Y.
name: Nerling, F.
name: Nikolaev, I. B.
name: Ning, Z.
name: Nisar, S.
name: Olsen, S. L.
name: Ouyang, Q.
name: Pacetti, S.
name: Pan, X.
name: Pan, Y.
name: Pathak, A.
name: Patteri, P.
name: Pelizaeus, M.
name: Peng, H. P.
name: Peters, K.
name: Pettersson, J.
name: Ping, J. L.
name: Ping, R. G.
name: Poling, R.
name: Prasad, V.
name: Qi, H.
name: Qi, H. R.
name: Qi, K. H.
name: Qi, M.
name: Qi, T. Y.
name: Qi, T. Y.
name: Qian, S.
name: Qian, W. B.
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name: Qin, X. P.
name: Qin, X. S.
name: Qin, Z. H.
name: Qiu, J. F.
name: Qu, S. Q.
name: Rashid, K. H.
name: Ravindran, K.
name: Redmer, C. F.
name: Rivetti, A.
name: Rodin, V.
name: Rolo, M.
name: Rong, G.
name: Rosner, Ch.
name: Rump, M.
name: Sang, H. S.
name: Sarantsev, A.
name: Schelhaas, Y.
name: Schnier, C.
name: Schoenning, K.
name: Scodeggio, M.
name: Shan, D. C.
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name: Shan, X. Y.
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name: Wang, Zongyuan
name: Wei, D. H.
name: Weidenkaff, P.
name: Weidner, F.
name: Wen, S. P.
name: White, D. J.
name: Wiedner, U.
name: Wilkinson, G.
name: Wolke, M.
name: Wollenberg, L.
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name: Zhou, X. K.
name: Zhou, X. R.
name: Zhou, X. Y.
name: Zhu, A. N.
name: Zhu, J.
name: Zhu, K.
name: Zhu, K. J.
name: Zhu, S. H.
name: Zhu, T. J.
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name: Zou, B. S.
name: Zou, J. H.
Publisher: name: arXiv
Year: 2021
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: The decays $D\to K^-π^+π^+π^-$ and $D \to K^-π^+π^0$ are studied in a sample of quantum-correlated $D\bar{D}$ pairs produced through the process $e^+e^- \to ψ(3770) \to D\bar{D}$, 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 $\bar{D}^0$ 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 $B^- \to DK^-$ decays at the LHCb and Belle II experiments. The coherence factors are determined to be $R_{K3π}=0.52^{+0.12}_{-0.10}$ and $R_{Kππ^0}=0.78 \pm 0.04$, with values for the average strong-phase differences that are $δ_D^{K3π}=\left(167^{+31}_{-19}\right)^\circ$ and $δ_D^{Kππ^0}=\left(196^{+14}_{-15}\right)^\circ$, where the uncertainties include both statistical and systematic contributions. The analysis is re-performed in four bins of the phase-space of the $D \to K^-π^+π^+π^-$ 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$^\circ$.
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