Status of the $D_s^+\toϕ\ell^+ν_\ell$ decay with a chiral-odd $ϕ$-meson light-cone distribution amplitude

Fuente: arXiv
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Autores principales: Wang, Ya-Xiong, Hu, Dan-Dan, Luo, Wan-Bing, Zhong, Tao, Fu, Hai-Bing
Formato: Preprint
Publicado: 2025
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author Wang, Ya-Xiong
Hu, Dan-Dan
Luo, Wan-Bing
Zhong, Tao
Fu, Hai-Bing
author_facet Wang, Ya-Xiong
Hu, Dan-Dan
Luo, Wan-Bing
Zhong, Tao
Fu, Hai-Bing
contents 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 $ϕ_{2;ϕ}^\bot(x,μ_0)$ of the $ϕ$-meson using the light-cone harmonic oscillator model, in which a parameter $B_{2;ϕ}^\bot$ dominantly control 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 $D_s^+\toϕ$ decays, and further, we get the branching fraction, $\mathcal{B}(D_s^+ \to ϕe^+ν_e )= (2.271_{-0.243}^{+0.291})\times 10^{-2}$ and $\mathcal{B}(D_s^+ \to ϕμ^+ν_μ)=(2.250_{-0.240}^{+0.287})\times 10^{-2}$, where errors are squared average of the mentioned error sources. Furthermore, we have extracted the Cabbibo-Kobayashi-Maskawa (CKM) matrix element $|V_{cs}|=0.975_{-0.066}^{+0.067}$ with improved precision through the analysis. Finally, we calculated the polarization parameter and asymmetry parameter for the $D_s^+\toϕ$ decays.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15014
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Status of the $D_s^+\toϕ\ell^+ν_\ell$ decay with a chiral-odd $ϕ$-meson light-cone distribution amplitude
Wang, Ya-Xiong
Hu, Dan-Dan
Luo, Wan-Bing
Zhong, Tao
Fu, Hai-Bing
High Energy Physics - Phenomenology
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 $ϕ_{2;ϕ}^\bot(x,μ_0)$ of the $ϕ$-meson using the light-cone harmonic oscillator model, in which a parameter $B_{2;ϕ}^\bot$ dominantly control 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 $D_s^+\toϕ$ decays, and further, we get the branching fraction, $\mathcal{B}(D_s^+ \to ϕe^+ν_e )= (2.271_{-0.243}^{+0.291})\times 10^{-2}$ and $\mathcal{B}(D_s^+ \to ϕμ^+ν_μ)=(2.250_{-0.240}^{+0.287})\times 10^{-2}$, where errors are squared average of the mentioned error sources. Furthermore, we have extracted the Cabbibo-Kobayashi-Maskawa (CKM) matrix element $|V_{cs}|=0.975_{-0.066}^{+0.067}$ with improved precision through the analysis. Finally, we calculated the polarization parameter and asymmetry parameter for the $D_s^+\toϕ$ decays.
title Status of the $D_s^+\toϕ\ell^+ν_\ell$ decay with a chiral-odd $ϕ$-meson light-cone distribution amplitude
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.15014