Exploring the exclusive decay $B^+\to ω\ell^+ν$ with light-cone sum rules
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2025
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| author | Yang, Yin-Long Song, Ya-Lin Peng, Fang-Ping Fu, Hai-Bing Zhong, Tao Ullah, Samee |
| author_facet | Yang, Yin-Long Song, Ya-Lin Peng, Fang-Ping Fu, Hai-Bing Zhong, Tao Ullah, Samee |
| contents | In this paper, we calculate the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}|$ by the semileptonic decay $B^+\to ω\ell^+ν$. For the transition form factors (TFFs) $A_1(q^2)$, $A_2(q^2)$, and $V(q^2)$ of $B^+\to ω$, we employ the QCD light-cone sum rules method for calculation, and by constructing the correlation function using left-handed chiral current, we make the $δ^1$-order twist-2 light-cone distribution amplitudes (LCDA) $ϕ^\| _{2;ω}(x,μ)$ dominate the contribution, in which the twist-2 LCDA $ϕ^\| _{2;ω}(x,μ)$ is constructed by the light-cone harmonic oscillator model. Then, we obtain $A_1(0)=0.209^{+0.049}_{-0.042}$, $A_2(0)=0.206^{+0.051}_{-0.042}$, and $V(0)=0.258^{+0.058}_{-0.048}$ at the large recoil region. Two important ratios of TFFs are $r_V=1.234_{-0.322}^{+0.425}$ and $r_2=0.985_{-0.274}^{+0.347}$. After extrapolating TFFs to the whole physical $q^2$ region by a simplified $z(q^2,t)$-series expansion, we obtain the differential decay width and branching fraction $\mathcal{B}(B^+\to ω\ell^+ν)=(1.35^{+0.02+1.22}_{-0.03-0.66})\times 10^{-4}$, which show good agreement with \textit{BABAR} and Belle Collaborations. Finally, we extract the $|V_{ub}|$ by using the $\mathcal{B}_{\rm{Exp}}(B^+\to ω\ell^+ν)$ result from the \textit{BABAR} Collaboration, which leads to $|V_{ub}|=(3.66^{+0.12+1.26}_{-0.17-0.95})\times 10^{-3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05650 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring the exclusive decay $B^+\to ω\ell^+ν$ with light-cone sum rules Yang, Yin-Long Song, Ya-Lin Peng, Fang-Ping Fu, Hai-Bing Zhong, Tao Ullah, Samee High Energy Physics - Phenomenology In this paper, we calculate the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}|$ by the semileptonic decay $B^+\to ω\ell^+ν$. For the transition form factors (TFFs) $A_1(q^2)$, $A_2(q^2)$, and $V(q^2)$ of $B^+\to ω$, we employ the QCD light-cone sum rules method for calculation, and by constructing the correlation function using left-handed chiral current, we make the $δ^1$-order twist-2 light-cone distribution amplitudes (LCDA) $ϕ^\| _{2;ω}(x,μ)$ dominate the contribution, in which the twist-2 LCDA $ϕ^\| _{2;ω}(x,μ)$ is constructed by the light-cone harmonic oscillator model. Then, we obtain $A_1(0)=0.209^{+0.049}_{-0.042}$, $A_2(0)=0.206^{+0.051}_{-0.042}$, and $V(0)=0.258^{+0.058}_{-0.048}$ at the large recoil region. Two important ratios of TFFs are $r_V=1.234_{-0.322}^{+0.425}$ and $r_2=0.985_{-0.274}^{+0.347}$. After extrapolating TFFs to the whole physical $q^2$ region by a simplified $z(q^2,t)$-series expansion, we obtain the differential decay width and branching fraction $\mathcal{B}(B^+\to ω\ell^+ν)=(1.35^{+0.02+1.22}_{-0.03-0.66})\times 10^{-4}$, which show good agreement with \textit{BABAR} and Belle Collaborations. Finally, we extract the $|V_{ub}|$ by using the $\mathcal{B}_{\rm{Exp}}(B^+\to ω\ell^+ν)$ result from the \textit{BABAR} Collaboration, which leads to $|V_{ub}|=(3.66^{+0.12+1.26}_{-0.17-0.95})\times 10^{-3}$. |
| title | Exploring the exclusive decay $B^+\to ω\ell^+ν$ with light-cone sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.05650 |