Probing $D_s^*$-meson longitudinal twist-2 LCDA
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| Format: | Preprint |
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2025
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| _version_ | 1866909773334577152 |
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| author | Zhang, Si-Hai Zhong, Tao Fu, Hai-Bing Wang, Ya-Xiong Luo, Wan-Bing |
| author_facet | Zhang, Si-Hai Zhong, Tao Fu, Hai-Bing Wang, Ya-Xiong Luo, Wan-Bing |
| contents | In this paper, we carry on an investigation of the semileptonic decays $B_s\to D_s^*\ell \barν_{\ell}$. Firstly, we derive the moments of the $D_s^*$-meson longitudinal leading-twist light-cone distribution amplitude (LCDA) based on QCD sum rules within background field theory framework. Considering the contributions of the vacuum condensates up to dimension-six, its first ten non-zero $ξ$-moments are given. Meanwhile, we construct the $D_s^*$-meson longitudinal leading-twist LCDA by using the light-cone harmonic oscillator model. Then, using those moments, we fix the model parameters $α_{2;D_s^*}$ and $B_1^{2;D_s^*}$ by the least square method and apply them to calculate $B_s \to D_s^*$ transition form factors $A_1(q^2), A_2(q^2)$ and $V(q^2)$ that are derived by using the QCD light-cone sum rules. At the large recoil region, we obtain $A_1(0) =0.632_{-0.135}^{+0.228}, A_2(0) =0.706_{-0.092}^{+0.109}$ and $V(0) =0.647_{-0.069}^{+0.076}$. Those form factors are then extrapolated to the allowed whole physical $q^2$-region through the simplified series expansion. Finally, we obtain the branching fractions for the two decay channels $B_s\to D_s^*\ell\barν_\ell$, $\it i.e.$ ${\cal B}(B_s^0 \to D_s^{*+}e^-\barν_e)=(5.45_{-1.57}^{+2.15})\times 10^{-2}$, ${\cal B}(B_s^0 \to D_s^{*+}μ^-\barν_μ)=(5.43_{-1.57}^{+2.14})\times 10^{-2}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_06365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing $D_s^*$-meson longitudinal twist-2 LCDA Zhang, Si-Hai Zhong, Tao Fu, Hai-Bing Wang, Ya-Xiong Luo, Wan-Bing High Energy Physics - Phenomenology In this paper, we carry on an investigation of the semileptonic decays $B_s\to D_s^*\ell \barν_{\ell}$. Firstly, we derive the moments of the $D_s^*$-meson longitudinal leading-twist light-cone distribution amplitude (LCDA) based on QCD sum rules within background field theory framework. Considering the contributions of the vacuum condensates up to dimension-six, its first ten non-zero $ξ$-moments are given. Meanwhile, we construct the $D_s^*$-meson longitudinal leading-twist LCDA by using the light-cone harmonic oscillator model. Then, using those moments, we fix the model parameters $α_{2;D_s^*}$ and $B_1^{2;D_s^*}$ by the least square method and apply them to calculate $B_s \to D_s^*$ transition form factors $A_1(q^2), A_2(q^2)$ and $V(q^2)$ that are derived by using the QCD light-cone sum rules. At the large recoil region, we obtain $A_1(0) =0.632_{-0.135}^{+0.228}, A_2(0) =0.706_{-0.092}^{+0.109}$ and $V(0) =0.647_{-0.069}^{+0.076}$. Those form factors are then extrapolated to the allowed whole physical $q^2$-region through the simplified series expansion. Finally, we obtain the branching fractions for the two decay channels $B_s\to D_s^*\ell\barν_\ell$, $\it i.e.$ ${\cal B}(B_s^0 \to D_s^{*+}e^-\barν_e)=(5.45_{-1.57}^{+2.15})\times 10^{-2}$, ${\cal B}(B_s^0 \to D_s^{*+}μ^-\barν_μ)=(5.43_{-1.57}^{+2.14})\times 10^{-2}$. |
| title | Probing $D_s^*$-meson longitudinal twist-2 LCDA |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.06365 |