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Status of the $D_{s}^{+} \to ϕ ℓ^{+} ν_{ℓ}$ decay with a chiral-odd $ϕ$ -meson light-cone distribution amplitude

Ya-Xiong Wang^1,*, Dan-Dan Hu^2,*, Wan-Bing Luo¹, Tao Zhong^1,3, and Hai-Bing Fu ^1,3,†

¹Department of Physics, Guizhou Minzu University, Guiyang 550025, People’s Republic of China
²Department of Physics, Chongqing University, Chongqing 401331, People’s Republic of China
³Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, People’s Republic of China

^*Ya-Xiong Wang and Dan-Dan Hu contributed equally to this work.
^†Contact author: fuhb@gzmu.edu.cn

Phys. Rev. D 112, 056008 – Published 10 September, 2025

DOI: https://doi.org/10.1103/byd6-f7sv

Abstract

The twist-2 distribution amplitude of the $ϕ$ -meson has attracted considerable interest due to its unique properties. In this work, we construct the transverse leading-twist light-cone distribution amplitude $ϕ_{2; ϕ}^{⊥} (x, μ_{0})$ of the $ϕ$ -meson using the light-cone harmonic oscillator model, in which a parameter $B_{2; ϕ}^{⊥}$ dominantly controls its longitudinal distribution. To explicitly isolate different twist contributions, we employ the right-handed chiral correlator for the QCD light-cone sum rules calculation of $D_{s}^{+} \to ϕ$ decays, and further, we get the branching fraction, $B (D_{s}^{+} \to ϕ e^{+} ν_{e}) = (2.27 1_{- 0.243}^{+ 0.291}) \times 10^{- 2}$ and $B (D_{s}^{+} \to ϕ μ^{+} ν_{μ}) = (2.25 0_{- 0.240}^{+ 0.287}) \times 10^{- 2}$ , where errors are squared average of the mentioned error sources. Furthermore, we have extracted the Cabbibo-Kobayashi-Maskawa matrix element $| V_{c s} | = 0.97 5_{- 0.066}^{+ 0.067}$ with improved precision through the analysis. Finally, we calculated the polarization parameter and asymmetry parameter for the $D_{s}^{+} \to ϕ$ decays.

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Phys. Rev. D 112, 056008– Published 10 September, 2025

Vol. 112, Iss. 5 — 1 September 2025

Received 23 May 2025
Accepted 11 August 2025

DOI: https://doi.org/10.1103/byd6-f7sv

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Status of the $D_{s}^{+} \to ϕ ℓ^{+} ν_{ℓ}$ decay with a chiral-odd $ϕ$ -meson light-cone distribution amplitude

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Status of the Ds+→ϕℓ+νℓ decay with a chiral-odd ϕ-meson light-cone distribution amplitude

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Status of the $D_{s}^{+} \to ϕ ℓ^{+} ν_{ℓ}$ decay with a chiral-odd $ϕ$ -meson light-cone distribution amplitude