Non-perturbaitve effects for the isoscalar light vector $ω$-meson in charmed meson semileptonic decays
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| Format: | Preprint |
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2025
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| _version_ | 1866918524318908416 |
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| author | Yang, Yin-Long Peng, Fang-Ping Yang, Yan-Ting Fu, Hai-Bing Wang, Sheng-Quan |
| author_facet | Yang, Yin-Long Peng, Fang-Ping Yang, Yan-Ting Fu, Hai-Bing Wang, Sheng-Quan |
| contents | Motivated by the renewed attention from the recent BESIII experiment on the semileptonic decay $D\to V \ellν_{\ell}$, we investigate semileptonic decay $D^+\to ω\ell^+ν_{\ell}$ within the framework of QCD light-cone sum rule in this work. By constructing correlation function with right-handed chiral current, the transverse twist-2 light-cone distribution amplitudes (LCDA) $ϕ^{\perp}_{2;ω}(x,μ)$ dominates the contribution in TFFs. We study the properties of twist-2 LCDA $ϕ^{\perp}_{2;ω}(x,μ)$ through light-cone harmonic oscillator model. Applying it to the TFFs, we obtained $A_1(0)$, $A_2(0)$, $V(0)$, and $A_0(0)$ at large recoil point. Two TFF ratios are $r_V=1.40^{+0.21}_{-0.19}$ and $r_2=1.01^{+0.17}_{-0.16}$. After extrapolating those TFFs to the whole physical $q^2$ region by using the simplified $z(q^2,t)$ series expansion, the ratio of longitudinal and transverse decay widths is $Γ_{\rm{L}}/Γ_{\rm{T}}=0.987^{+0.107}_{-0.121}$. Then, we get branching fraction $\mathcal{B}(D^+\to ωe^+ν_e)=(1.848^{+0.365}_{-0.330})\times 10^{-3}$ and $\mathcal{B}(D^+\to ωμ^+ν_μ)=(1.782^{+0.334}_{-0.303})\times 10^{-3}$, which is in good agreement with BESIII and CLEO Collaborations. Taking into account the secondary decay $ω\to π^+π^-π^0$, we predict branching fraction of five body decay as $\mathcal{B}(D^+\to ω(\to π^+π^-π^0)e^+ν_{e})=(1.648^{+0.341}_{-0.305})\times 10^{-3}$ and $\mathcal{B}(D^+\to ω(\to π^+π^-π^0)μ^+ν_μ)=(1.589^{+0.313}_{-0.281})\times 10^{-3}$. Finally, we predict the forward-backward asymmetry $A_{\rm{FB}}^{\ell}$, lepton-side convexity parameter $C^{\ell}_{\rm{F}}$, longitudinal (transverse) polarization $P_{\rm{L}(\rm{T})}^{\ell}$, as well as longitudinal polarization fraction $F_{\rm{L}}^{\ell}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-perturbaitve effects for the isoscalar light vector $ω$-meson in charmed meson semileptonic decays Yang, Yin-Long Peng, Fang-Ping Yang, Yan-Ting Fu, Hai-Bing Wang, Sheng-Quan High Energy Physics - Phenomenology Motivated by the renewed attention from the recent BESIII experiment on the semileptonic decay $D\to V \ellν_{\ell}$, we investigate semileptonic decay $D^+\to ω\ell^+ν_{\ell}$ within the framework of QCD light-cone sum rule in this work. By constructing correlation function with right-handed chiral current, the transverse twist-2 light-cone distribution amplitudes (LCDA) $ϕ^{\perp}_{2;ω}(x,μ)$ dominates the contribution in TFFs. We study the properties of twist-2 LCDA $ϕ^{\perp}_{2;ω}(x,μ)$ through light-cone harmonic oscillator model. Applying it to the TFFs, we obtained $A_1(0)$, $A_2(0)$, $V(0)$, and $A_0(0)$ at large recoil point. Two TFF ratios are $r_V=1.40^{+0.21}_{-0.19}$ and $r_2=1.01^{+0.17}_{-0.16}$. After extrapolating those TFFs to the whole physical $q^2$ region by using the simplified $z(q^2,t)$ series expansion, the ratio of longitudinal and transverse decay widths is $Γ_{\rm{L}}/Γ_{\rm{T}}=0.987^{+0.107}_{-0.121}$. Then, we get branching fraction $\mathcal{B}(D^+\to ωe^+ν_e)=(1.848^{+0.365}_{-0.330})\times 10^{-3}$ and $\mathcal{B}(D^+\to ωμ^+ν_μ)=(1.782^{+0.334}_{-0.303})\times 10^{-3}$, which is in good agreement with BESIII and CLEO Collaborations. Taking into account the secondary decay $ω\to π^+π^-π^0$, we predict branching fraction of five body decay as $\mathcal{B}(D^+\to ω(\to π^+π^-π^0)e^+ν_{e})=(1.648^{+0.341}_{-0.305})\times 10^{-3}$ and $\mathcal{B}(D^+\to ω(\to π^+π^-π^0)μ^+ν_μ)=(1.589^{+0.313}_{-0.281})\times 10^{-3}$. Finally, we predict the forward-backward asymmetry $A_{\rm{FB}}^{\ell}$, lepton-side convexity parameter $C^{\ell}_{\rm{F}}$, longitudinal (transverse) polarization $P_{\rm{L}(\rm{T})}^{\ell}$, as well as longitudinal polarization fraction $F_{\rm{L}}^{\ell}$. |
| title | Non-perturbaitve effects for the isoscalar light vector $ω$-meson in charmed meson semileptonic decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2511.00441 |