Partial next-to-next-to-leading-order corrections to the B → π form factors from light-cone sum rules
4 affiliations
- 1Nankai University
- 2Lanzhou University
- 3Institute of High Energy Physics, CAS
- 4University of Chinese Academy of Sciences
Abstract
A bstract : By incorporating the available leading-power results at 𝒪(αs) O α s and next-to-leading-power corrections at tree level, we compute the 𝒪(αs2β0) O α s 2 β 0 contribution to the B → π form factors 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 𝒪(αs2β0) O α s 2 β 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 → π form factors across the full kinematic range. Utilizing these form factors, we update the branching ratios, lepton-flavor-universality ratio R π , forward-backward asymmetry 𝒜FB A FB , flat term ℱH F H and polarization asymmetry 𝒜λℓ A λ ℓ of B→ π μ ν̅μ B → πμ ν ¯ μ and B→ π τ ν̅τ B → πτ ν ¯ τ decays. We also extract the Cabibbo-Kobayashi-Maskawa matrix element | V ub | = 3.73(14) × 10 ⁻³ . We find that the resulting shifts are generally small and remain within the uncertainties of previous analyses.
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BibTeX
@article{huang2026partial,
title = {{Partial next-to-next-to-leading-order corrections to the B → π form factors from light-cone sum rules}},
author = {Yong-Kang Huang and Dong-Hao Li and Cai-Dian Lü and Bo-Xuan Shi and Hui-Xin Yu},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)199},
url = {https://link.springer.com/article/10.1007/JHEP10(2026)199},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Partial next-to-next-to-leading-order corrections to the B → π form factors from light-cone sum rules
AU - Yong-Kang Huang
AU - Dong-Hao Li
AU - Cai-Dian Lü
AU - Bo-Xuan Shi
AU - Hui-Xin Yu
PY - 2026
DA - 2026/10/19
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)199
UR - https://link.springer.com/article/10.1007/JHEP10(2026)199
AB - A bstract : By incorporating the available leading-power results at 𝒪(α_s) O α s and next-to-leading-power corrections at tree level, we compute the 𝒪(α_s^2β_0) O α s 2 β 0 contribution to the B → π form factors 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 𝒪(α_s^2β_0) O α s 2 β 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 → π form factors across the full kinematic range. Utilizing these form factors, we update the branching ratios, lepton-flavor-universality ratio R π , forward-backward asymmetry 𝒜_FB A FB , flat term ℱ_H F H and polarization asymmetry 𝒜_λ_ℓ A λ ℓ of B→ π μ ν̅_μ B → πμ ν ¯ μ and B→ π τ ν̅_τ B → πτ ν ¯ τ decays. We also extract the Cabibbo-Kobayashi-Maskawa matrix element | V ub | = 3.73(14) × 10 ⁻³ . We find that the resulting shifts are generally small and remain within the uncertainties of previous analyses.
SN - 1029-8479
ER -