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$B_{(s)} \to S (a_{0} (1450), K_{0}^{*} (1430), f_{0} (1500))$ helicity form factors within QCD light-cone sum rules

Yi Zhang¹, Wei Cheng², Jia-Wei Zhang³, Tao Zhong^4,5, Hai-Bing Fu ^4,5,*, and Li-Sheng Geng ^1,†

¹School of Physics, Beihang University, Beijing 102206, China, Centrale Pekin, Beihang University, Beijing 100191, China, Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China, Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 102206, China, and Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China
²School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
³Department of Physics, Chongqing University of Science and Technology, Chongqing 401331, China
⁴Department of Physics, Guizhou Minzu University, Guiyang 550025, China
⁵Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

^*Contact author: fuhb@gzmu.edu.cn
^†Contact author: lisheng.geng@buaa.edu.cn

Phys. Rev. D 112, 056034 – Published 29 September, 2025

DOI: https://doi.org/10.1103/27kn-4xz2

Abstract

In this paper, we investigate the helicity form factors (HFFs) of the $B_{(s)}$ -meson decay into a scalar meson with a mass larger than 1 GeV, i.e., $B \to a_{0} (1450)$ , $B_{(s)} \to K_{0}^{*} (1430)$ , and $B_{s} \to f_{0} (1500)$ by using the light-cone sum rules approach. We take the standard currents for correlation functions. To enhance the precision of our calculations, we incorporate the next-to-leading order (NLO) corrections and retain the scalar meson twist-3 light-cone distribution amplitudes. Furthermore, we extend the HFFs to the entire physical $q^{2}$ region employing a simplified $z$ -series expansion. At the point of $q^{2} = 1 {GeV}^{2}$ , all NLO contributions to the HFFs are negative, with the maximum contribution around 25%. Then, as applications of these HFFs, we analyze the differential decay widths, branching ratios, and lepton polarization asymmetries for the semileptonic $B_{(s)} \to S ℓ {\bar{ν}}_{ℓ}$ , FCNC $B_{(s)} \to S ℓ \bar{ℓ}$ and rare $B_{(s)} \to S ν \bar{ν}$ decays. Our results are consistent with existing studies within uncertainties. The current data still suffer from large uncertainties and need to be measured more precisely, which can lead to a better understanding of the fundamental properties of light scalar mesons.

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Phys. Rev. D 112, 056034– Published 29 September, 2025

Vol. 112, Iss. 5 — 1 September 2025

Received 10 March 2025
Accepted 5 September 2025

DOI: https://doi.org/10.1103/27kn-4xz2

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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$B_{(s)} \to S (a_{0} (1450), K_{0}^{*} (1430), f_{0} (1500))$ helicity form factors within QCD light-cone sum rules

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B(s)→S(a0(1450), K0*(1430), f0(1500)) helicity form factors within QCD light-cone sum rules

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References (71)

$B_{(s)} \to S (a_{0} (1450), K_{0}^{*} (1430), f_{0} (1500))$ helicity form factors within QCD light-cone sum rules