Precision Measurements of $D_s^+ \to ηe^+ ν_e$ and $D_s^+ \to η^\prime e^+ ν_e$
Creators: name: BESIII Collaboration
name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Aliberti, R.
name: Amoroso, A.
name: An, M. R.
name: An, Q.
name: Bai, Y.
name: Bakina, O.
name: Balossino, I.
name: Ban, Y.
name: Batozskaya, V.
name: Begzsuren, K.
name: Berger, N.
name: Berlowski, M.
name: Bertani, M.
name: Bettoni, D.
name: Bianchi, F.
name: Bianco, E.
name: Bloms, J.
name: Bortone, A.
name: Boyko, I.
name: Briere, R. A.
name: Brueggemann, 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, T. T.
name: Chang, W. L.
name: Che, G. R.
name: Chelkov, G.
name: Chen, C.
name: Chen, Chao
name: Chen, G.
name: Chen, H. S.
name: Chen, M. L.
name: Chen, S. J.
name: Chen, S. M.
name: Chen, T.
name: Chen, X. R.
name: Chen, X. T.
name: Chen, Y. B.
name: Chen, Y. Q.
name: Chen, Z. J.
name: Cheng, W. S.
name: Choi, S. K.
name: Chu, X.
name: Cibinetto, G.
name: Coen, S. C.
name: Cossio, F.
name: Cui, J. J.
name: Dai, H. L.
name: Dai, J. P.
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, B.
name: Ding, X. X.
name: Ding, Y.
name: Ding, Y.
name: Dong, J.
name: Dong, L. Y.
name: Dong, M. Y.
name: Dong, X.
name: Du, S. X.
name: Duan, Z. H.
name: Egorov, P.
name: Fan, Y. L.
name: Fang, J.
name: Fang, S. S.
name: Fang, W. X.
name: Fang, Y.
name: Farinelli, R.
name: Fava, L.
name: Feldbauer, F.
name: Felici, G.
name: Feng, C. Q.
name: Feng, J. H.
name: Fischer, K
name: Fritsch, M.
name: Fritzsch, C.
name: Fu, C. D.
name: Fu, J. L.
name: Fu, Y. W.
name: Gao, H.
name: Gao, Y. N.
name: Gao, Yang
name: Garbolino, S.
name: Garzia, I.
name: Ge, P. T.
name: Ge, Z. W.
name: Geng, C.
name: Gersabeck, E. M.
name: Gilman, A
name: Goetzen, K.
name: Gong, L.
name: Gong, W. X.
name: Gradl, W.
name: Gramigna, S.
name: Greco, M.
name: Gu, M. H.
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name: Guo, L. B.
name: Guo, R. P.
name: Guo, Y. P.
name: Guskov, A.
name: H., X. T.
name: Han, T. T.
name: Han, W. Y.
name: Hao, X. Q.
name: Harris, F. A.
name: He, K. K.
name: He, K. L.
name: Heinsius, F. H. H.
name: Heinz, C. H.
name: Heng, Y. K.
name: Herold, C.
name: Holtmann, T.
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name: Hou, G. Y.
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name: Leithoff, H.
name: Lellmann, M.
name: Lenz, T.
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name: Liu, F. H.
name: Liu, Fang
name: Liu, Feng
name: Liu, G. M.
name: Liu, H.
name: Liu, H. B.
name: Liu, H. M.
name: Liu, Huanhuan
name: Liu, Huihui
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name: Liu, K.
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name: Liu, Ke
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name: Zhemchugov, A.
name: Zheng, B.
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name: Zhou, X.
name: Zhou, X. K.
name: Zhou, X. R.
name: Zhou, X. Y.
name: Zhou, Y. Z.
name: Zhu, J.
name: Zhu, K.
name: Zhu, K. J.
name: Zhu, L.
name: Zhu, L. X.
name: Zhu, S. H.
name: Zhu, S. Q.
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name: Zou, J. H.
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Publisher: name: arXiv
Year: 2023
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Precision measurements of the semileptonic decays $D_s^+ \to ηe^+ ν_e$ and $D_s^+ \to η^\prime e^+ ν_e$ are performed with 7.33\,fb$^{-1}$ of $e^+e^-$ collision data collected at center-of-mass energies between 4.128 and 4.226 GeV with the BESIII detector. The branching fractions obtained are $\mathcal{B}(D_s^+ \to ηe^{+} ν_e)$ = $(2.255\pm0.039_{\rm stat}\pm 0.051_{\rm syst})\%$ and $\mathcal{B}(D_s^+ \to η^{\prime} e^{+} ν_e)$ = $(0.810\pm0.038_{\rm stat}\pm 0.024_{\rm syst})\%$. Combining these results with the $\mathcal{B}(D^+\toηe^+ ν_e)$ and $\mathcal{B}(D^+\toη^\prime e^+ ν_e)$ obtained from previous BESIII measurements, the $η-η^\prime$ mixing angle in the quark flavor basis is determined to be $ϕ_{\rm P} = (40.0\pm2.0_{\rm stat}\pm0.6_{\rm syst})^\circ$. Moreover, from the fits to the partial decay rates of $D_s^+ \to ηe^+ ν_e$ and $D_s^+ \to η^\prime e^+ ν_e$, the products of the hadronic transition form factors $f_+^{η^{(\prime)}}(0)$ and the modulus of the $c\to s$ Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ are determined by using different hadronic transition form factor parametrizations. Based on the two-parameter series expansion, the products $f^η_+(0)|V_{cs}| = 0.4519\pm0.0071_{\rm stat}\pm0.0065_{\rm syst}$ and $f^{η^\prime}_+(0)|V_{cs}| = 0.525\pm0.024_{\rm stat}\pm0.009_{\rm syst}$ are extracted. All results determined in this work supersede those measured in the previous BESIII analyses based on the 3.19 fb$^{-1}$ subsample of data at 4.178 GeV.