Observation of D + → η ′ μ + ν μ and First Experimental Study of D + → η ′ ℓ + ν ℓ Decay Dynamics

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doi:10.1103/PhysRevLett.134.111801

Observation of $D^{+} \to η^{'} μ^{+} ν_{μ}$ and First Experimental Study of $D^{+} \to η^{'} ℓ^{+} ν_{ℓ}$ Decay Dynamics

Journal Article · Tue Mar 18 00:00:00 EDT 2025 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.134.111801· OSTI ID:2531301

Ablikim, M.; Achasov, M. N.; Adlarson, P.; Afedulidis, O.; Ai, X. C.; Aliberti, R.; Amoroso, A.; An, Q.; Bai, Y.; Bakina, O.; Balossino, I.; Ban, Y.; Bao, H. -R.; Batozskaya, V.; Begzsuren, K.; Berger, N.; Berlowski, M.; Bertani, M.; Bettoni, D.; Bianchi, F. more »

Using $20.3 {fb}^{- 1}$ of $e^{+} e^{-}$ collision data collected at the center-of-mass energy 3.773 GeV with the BESIII detector, we report the first observation of the semileptonic decay $D^{+} \to η^{'} μ^{+} ν_{μ}$ with significance of $8.6 σ$ including systematic uncertainties, and an improved measurement of $D^{+} \to η^{'} e^{+} ν_{e}$ . The branching fractions of $D^{+} \to η^{'} μ^{+} ν_{μ}$ and $D^{+} \to η^{'} e^{+} ν_{e}$ are determined to be $(1.92 \pm 0.2 8_{stat} \pm 0.0 8_{syst}) \times 10^{- 4}$ and $(1.79 \pm 0.1 9_{stat} \pm 0.0 7_{syst}) \times 10^{- 4}$ , respectively. The ratio of the two branching fractions is determined to be $R_{μ / e} = 1.07 \pm 0.1 9_{stat} \pm 0.0 3_{syst}$ , which agrees with the theoretical expectation of lepton flavor universality within the standard model. From an analysis of the $D^{+} \to η^{'} ℓ^{+} ν_{ℓ}$ decay dynamics, the product of the hadronic form factor $f_{+}^{η^{'}} (0)$ and the Cabibbo-Kobayashi-Maskawa matrix element $| V_{c d} |$ is measured for the first time, giving $f_{+}^{η^{'}} (0) | V_{c d} | = (5.92 \pm 0.5 6_{stat} \pm 0.1 3_{syst}) \times 10^{- 2}$ . The $η - η^{'}$ mixing angle in the quark flavor basis is determined to be $ϕ_{P} = (39.8 \pm {0.8}_{stat} \pm {0.3}_{syst}) °$ .

Published by the American Physical Society 2025

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER41374

OSTI ID:: 2531301

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 134; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Observation of $D^{+} \to η^{'} μ^{+} ν_{μ}$ and First Experimental Study of $D^{+} \to η^{'} ℓ^{+} ν_{ℓ}$ Decay Dynamics