Analysis of S-wave ωπ dynamics behavior in multi-body Bℓ4 and Bℓ6 decays
Abstract
The b1(1235) state has a sizable decay width, which have longstanding puzzle in treating as a final state in theoretical calculations may lead to systematic deviations in the predicted observables. To address this issue and further explore the internal structure of this resonance, we study the multi-body semileptonic decays Bℓ4 and Bℓ6. Within the approximation where the b1(1235) resonance dominates, we study the Bℓ4 decay B→ b1(1235)(→ωπ)ℓ+νℓ in the QCD light-cone sum rules framework. The corresponding transition form factors (TFFs) are calculated by constructing a correlation function with a right-handed chiral current. As the main nonperturbative input for the TFFs calculation, the transverse twist-2 light-cone distribution amplitude (LCDA) of the b1(1235) resonance is constructed using the light-cone harmonic oscillator model, and the resulting LCDA exhibits a single-peak behavior. At the large-recoil region, we obtain the TFFs V0, 1, 2(0) and A(0), together with the corresponding TFFs ratios rV = 1.530−0.016+0.013 and r2 = 0.553−0.015+0.012. We then further study the complete Bℓ4 decay by incorporating the b1(1235)→ωπ resonant line shape and obtain the corresponding observables. The results show that the branching ratio of the Bℓ4 decay is about 1/3 of that obtained when b1(1235) is treated as a final state. We also account for the subsequent decay ω→ π+π-π0 and further predicted the branching ratio of the Bℓ6 decay B→ b1(1235)(→ω(→ π+π-π0)π)ℓ+νℓ. These results may provide useful references for future experimental measurements and further theoretical studies.
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BibTeX
@misc{yang2026analysis,
title = {{Analysis of $S$-wave $ωπ$ dynamics behavior in multi-body $B_\ell4$ and $B_\ell6$ decays}},
author = {Yan-Ting Yang and Hai-Bing Fu and Xue Zheng and Jian-Qi Chen and Sheng-Bo Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34840},
eprint = {2610.34840},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34840},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Analysis of S-wave ωπ dynamics behavior in multi-body B_ℓ4 and B_ℓ6 decays
AU - Yan-Ting Yang
AU - Hai-Bing Fu
AU - Xue Zheng
AU - Jian-Qi Chen
AU - Sheng-Bo Wu
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.34840
UR - https://arxiv.org/abs/2610.34840
AB - The b_1(1235) state has a sizable decay width, which have longstanding puzzle in treating as a final state in theoretical calculations may lead to systematic deviations in the predicted observables. To address this issue and further explore the internal structure of this resonance, we study the multi-body semileptonic decays B_ℓ4 and B_ℓ6. Within the approximation where the b_1(1235) resonance dominates, we study the B_ℓ4 decay B→ b_1(1235)(→ωπ)ℓ^+ν_ℓ in the QCD light-cone sum rules framework. The corresponding transition form factors (TFFs) are calculated by constructing a correlation function with a right-handed chiral current. As the main nonperturbative input for the TFFs calculation, the transverse twist-2 light-cone distribution amplitude (LCDA) of the b_1(1235) resonance is constructed using the light-cone harmonic oscillator model, and the resulting LCDA exhibits a single-peak behavior. At the large-recoil region, we obtain the TFFs V_0, 1, 2(0) and A(0), together with the corresponding TFFs ratios r_V = 1.530_−0.016^+0.013 and r_2 = 0.553_−0.015^+0.012. We then further study the complete B_ℓ4 decay by incorporating the b_1(1235)→ωπ resonant line shape and obtain the corresponding observables. The results show that the branching ratio of the B_ℓ4 decay is about 1/3 of that obtained when b_1(1235) is treated as a final state. We also account for the subsequent decay ω→ π^+π^-π^0 and further predicted the branching ratio of the B_ℓ6 decay B→ b_1(1235)(→ω(→ π^+π^-π^0)π)ℓ^+ν_ℓ. These results may provide useful references for future experimental measurements and further theoretical studies.
ER -