Determination of $B$-meson distribution amplitudes from $B\to π,K,D$ transition form factors
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| Format: | Preprint |
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2025
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| _version_ | 1866913164917997568 |
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| author | Li, Dong-Hao Lü, Cai-Dian Meißner, Ulf-G. Gao, Jing |
| author_facet | Li, Dong-Hao Lü, Cai-Dian Meißner, Ulf-G. Gao, Jing |
| contents | Recent work on $B \to π$, $K$ and $B\to D$ form factors from lattice QCD and light-cone sum rules has made it possible to constrain the inverse moment $λ_B$ of the $B$-meson light-cone distribution amplitudes by performing a global fit of $B\to π,K,D$ form factors. We have compiled the $B\to π,K,D$ form factors calculated by the HPQCD, MILC, and RBC/UKQCD collaborations in the large $q^2$ region. By employing an three-parameter ansatz of the $B$-meson light-cone distribution amplitudes, we express the $B\to π,K,D$ form factors at $q^2=0$ that are calculated from light-cone sum rules, in terms of the inverse moment $λ_B$ of the leading-twist $B$-meson light-cone distribution amplitude. In the $B \to π\ell ν$ channel, we also include the available $q^2$-binned experimental data from the BaBar, Belle, and Belle~II collaborations. Using the Bourrely-Caprini-Lellouch parametrization, we perform a global fit and obtain $λ_B=217(19)_{-17}^{+82}$~MeV and $|V_{\text{ub}}|=3.68(13)_{-1}^{+0}\times10^{-3}$. The second uncertainty is obtained by constraining $λ_B>200$ MeV and varying the inverse logarithmic moments $\hatσ_1\in[-0.7,0.7]$ and $\hatσ_2\in[-6,6]$, which represents the model-dependent uncertainty from the $B$-meson light-cone distribution amplitudes. When taking into account $λ_B$ and $\hatσ_1$ as fitting parameters simultaneously, the intervals of our preditions are $λ_B=[208, 324]$~MeV and $\hatσ_1=[-0.7, 0.27]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11741 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Determination of $B$-meson distribution amplitudes from $B\to π,K,D$ transition form factors Li, Dong-Hao Lü, Cai-Dian Meißner, Ulf-G. Gao, Jing High Energy Physics - Phenomenology Recent work on $B \to π$, $K$ and $B\to D$ form factors from lattice QCD and light-cone sum rules has made it possible to constrain the inverse moment $λ_B$ of the $B$-meson light-cone distribution amplitudes by performing a global fit of $B\to π,K,D$ form factors. We have compiled the $B\to π,K,D$ form factors calculated by the HPQCD, MILC, and RBC/UKQCD collaborations in the large $q^2$ region. By employing an three-parameter ansatz of the $B$-meson light-cone distribution amplitudes, we express the $B\to π,K,D$ form factors at $q^2=0$ that are calculated from light-cone sum rules, in terms of the inverse moment $λ_B$ of the leading-twist $B$-meson light-cone distribution amplitude. In the $B \to π\ell ν$ channel, we also include the available $q^2$-binned experimental data from the BaBar, Belle, and Belle~II collaborations. Using the Bourrely-Caprini-Lellouch parametrization, we perform a global fit and obtain $λ_B=217(19)_{-17}^{+82}$~MeV and $|V_{\text{ub}}|=3.68(13)_{-1}^{+0}\times10^{-3}$. The second uncertainty is obtained by constraining $λ_B>200$ MeV and varying the inverse logarithmic moments $\hatσ_1\in[-0.7,0.7]$ and $\hatσ_2\in[-6,6]$, which represents the model-dependent uncertainty from the $B$-meson light-cone distribution amplitudes. When taking into account $λ_B$ and $\hatσ_1$ as fitting parameters simultaneously, the intervals of our preditions are $λ_B=[208, 324]$~MeV and $\hatσ_1=[-0.7, 0.27]$. |
| title | Determination of $B$-meson distribution amplitudes from $B\to π,K,D$ transition form factors |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.11741 |