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Exploring the exclusive decay $B^{+} \to ω ℓ^{+} ν$ with light-cone sum rules

Yin-Long Yang^*, Ya-Ling Song^*, and Fang-Ping Peng

Hai-Bing Fu ^† and Tao Zhong

Samee Ullah

Department of Physics, Guizhou Minzu University, Guiyang 550025, Peoples Republic of China

Department of Physics, Guizhou Minzu University, Guiyang 550025, Peoples Republic of China and Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, Peoples Republic of China

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, Peoples Republic of China and University of Chinese Academy of Sciences, Beijing 100049, Peoples Republic of China

^*These authors contributed equally to this work.
^†Contact author: fuhb@gzmu.edu.cn

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Phys. Rev. D 112, 016002 – Published 2 July, 2025

DOI: https://doi.org/10.1103/pp6k-rgvp

Abstract

In this paper, we calculate the Cabibbo-Kobayashi-Maskawa matrix element $| V_{u b} |$ by the semileptonic decay $B^{+} \to ω ℓ^{+} ν$ . 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 $A_{1} (0) = 0.20 9_{- 0.042}^{+ 0.049}$ , $A_{2} (0) = 0.20 6_{- 0.042}^{+ 0.051}$ , and $V (0) = 0.25 8_{- 0.048}^{+ 0.058}$ at the large recoil region. Two important ratios of TFFs are $r_{V} = 1.23 4_{- 0.322}^{+ 0.425}$ and $r_{2} = 0.98 5_{- 0.274}^{+ 0.347}$ . 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 $B (B^{+} \to ω ℓ^{+} ν) = (1.3 5_{- 0.03 - 0.66}^{+ 0.02 + 1.22}) \times 10^{- 4}$ , which show good agreement with BABAR and Belle Collaborations. Finally, we extract the $| V_{u b} |$ by using the $B_{Exp} (B^{+} \to ω ℓ^{+} ν)$ result from the BABAR Collaboration, which leads to $| V_{u b} | = (3.6 6_{- 0.17 - 0.95}^{+ 0.12 + 1.26}) \times 10^{- 3}$ .

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Phys. Rev. D 112, 016002– Published 2 July, 2025

Vol. 112, Iss. 1 — 1 July 2025

Received 10 April 2025
Accepted 15 June 2025

DOI: https://doi.org/10.1103/pp6k-rgvp

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Exploring the exclusive decay $B^{+} \to ω ℓ^{+} ν$ with light-cone sum rules

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Exploring the exclusive decay B+→ωℓ+ν with light-cone sum rules

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References (78)

Exploring the exclusive decay $B^{+} \to ω ℓ^{+} ν$ with light-cone sum rules