Next-to-Next-to-Leading-Order Corrections to the $B \to π$ Form Factors from Light-Cone Sum Rules
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| Format: | Preprint |
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2025
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| _version_ | 1866914216676425728 |
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| author | Huang, Yong-Kang Li, Dong-Hao Lü, Cai-Dian Shi, Bo-Xuan Yu, Hui-Xin |
| author_facet | Huang, Yong-Kang Li, Dong-Hao Lü, Cai-Dian Shi, Bo-Xuan Yu, Hui-Xin |
| contents | By incorporating the available leading-power results at $\mathcal{O}(α_s)$ and next-to-leading-power corrections at tree level, we improve the precision of the theoretical predictions for $B\toπ$ form factors to the $\mathcal{O}(α_s^2β_0)$ level in the large-recoil region using the light-cone sum rule approach with $B$-meson light-cone distribution amplitudes. We find that the QCD corrections at $\mathcal{O}(α_s^2β_0)$ contribute approximately $+6.1\%$ compared to the tree-level result. Combining the light-cone sum rule predictions in the large-recoil region, lattice QCD results in the small-recoil region, we perform a combined fit for the $B\toπ$ form factors across the full kinematic range. Utilizing these form factors, we calculate the branching ratios, lepton-flavor-universality ratio $R_π$, forward-backward asymmetry $\mathcal{A}_{\rm FB}$, flat term $\mathcal{F}_{\rm H}$ and polarization asymmetry $\mathcal{A}_{\rm λ_\ell}$ of $B\toπμ\barν_μ$ and $B\toπτ\barν_τ$ decays. Using the experimentally measured $q^2$-binned differential branching ratios of $B\toπμ\barν_μ$ decay as input, employing the Bourrely-Caprini-Lellouch parametrization, we extract the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}| = 3.73(14) \times 10^{-3}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_18866 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Next-to-Next-to-Leading-Order Corrections to the $B \to π$ Form Factors from Light-Cone Sum Rules Huang, Yong-Kang Li, Dong-Hao Lü, Cai-Dian Shi, Bo-Xuan Yu, Hui-Xin High Energy Physics - Phenomenology By incorporating the available leading-power results at $\mathcal{O}(α_s)$ and next-to-leading-power corrections at tree level, we improve the precision of the theoretical predictions for $B\toπ$ form factors to the $\mathcal{O}(α_s^2β_0)$ level in the large-recoil region using the light-cone sum rule approach with $B$-meson light-cone distribution amplitudes. We find that the QCD corrections at $\mathcal{O}(α_s^2β_0)$ contribute approximately $+6.1\%$ compared to the tree-level result. Combining the light-cone sum rule predictions in the large-recoil region, lattice QCD results in the small-recoil region, we perform a combined fit for the $B\toπ$ form factors across the full kinematic range. Utilizing these form factors, we calculate the branching ratios, lepton-flavor-universality ratio $R_π$, forward-backward asymmetry $\mathcal{A}_{\rm FB}$, flat term $\mathcal{F}_{\rm H}$ and polarization asymmetry $\mathcal{A}_{\rm λ_\ell}$ of $B\toπμ\barν_μ$ and $B\toπτ\barν_τ$ decays. Using the experimentally measured $q^2$-binned differential branching ratios of $B\toπμ\barν_μ$ decay as input, employing the Bourrely-Caprini-Lellouch parametrization, we extract the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}| = 3.73(14) \times 10^{-3}$. |
| title | Next-to-Next-to-Leading-Order Corrections to the $B \to π$ Form Factors from Light-Cone Sum Rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.18866 |