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PreprintCC BY 4.0arXiv

Quasi-four-body semileptonic decay B̅0→ a0(1450)+ (→π+ η)ℓ-ν̅ℓ within a0(1450)-resonance leading-twist LCDA under QCDSR

  • Ya-Lin Song
  • Yin-Long Yang
  • Yan-Ting Yang
  • Dong Huang
  • Hai-Bing Fu
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Abstract

The finite width of broad scalar resonances should be taken into account when relating semileptonic B-meson transitions to experimentally reconstructable multihadron final states. The quasi-four-body semileptonic decays B̅0→ a0(1450)+ (→πη)ℓ-ν̅ℓ with ℓ=(e,μ,τ) provide a platform for investigating the scalar a0(1450)+-resonance as the lowest-Fock-state quark-antiquark component. We calculate the first five odd ξ-moments of a0(1450)-resonance twist-2 light-cone distribution amplitude (LCDA) using QCDSR within the background-field theory, including vacuum condensates up to dimension six. Based on these moments, two twist-2 LCDA schemes are constructed: a light-cone harmonic oscillator model (S1), whose free parameters are fitted to the first five odd moments, and a truncated Gegenbauer expansion (S2) retaining only a1,3(μ). The B̅0 → a0(1450)+ transition form factors are then calculated using light-cone sum rules. At large recoil region, we present the TFFs with different scheme. The finite-width effect of a0(1450)-resonance is further incorporated through a two-channel Flatté parametrization including the πη and KK̅ channels. The πη invariant-mass distribution exhibits a pronounced resonance peak around s≃ ma0(1450)2. The spectra of the electron and muon channels are nearly identical, while the τ-channel is significantly suppressed because the larger lepton mass reduces the available phase space. After integration over the full quasi-four-body phase space, the branching fractions are given. We expect that these results will provide useful guidance for future experimental and theoretical studies of B̅0→ a0(1450)+ (→πη)ℓ-ν̅ℓ decay and help improve our understanding of the internal structure of a0(1450).

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Cite

BibTeXRIS
BibTeX
@misc{song2026quasifourbody,
  title = {{Quasi-four-body semileptonic decay $\bar B^0\to a_0(1450)^+ (\toπ^+ η)\ell^-\barν_\ell$ within $a_0(1450)$-resonance leading-twist LCDA under QCDSR}},
  author = {Ya-Lin Song and Yin-Long Yang and Yan-Ting Yang and Dong Huang and Hai-Bing Fu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.14980},
  eprint = {2606.14980},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.14980},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quasi-four-body semileptonic decay B̅^0→ a_0(1450)^+ (→π^+ η)ℓ^-ν̅_ℓ within a_0(1450)-resonance leading-twist LCDA under QCDSR
AU  - Ya-Lin Song
AU  - Yin-Long Yang
AU  - Yan-Ting Yang
AU  - Dong Huang
AU  - Hai-Bing Fu
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2606.14980
UR  - https://arxiv.org/abs/2606.14980
AB  - The finite width of broad scalar resonances should be taken into account when relating semileptonic B-meson transitions to experimentally reconstructable multihadron final states. The quasi-four-body semileptonic decays B̅^0→ a_0(1450)^+ (→πη)ℓ^-ν̅_ℓ with ℓ=(e,μ,τ) provide a platform for investigating the scalar a_0(1450)^+-resonance as the lowest-Fock-state quark-antiquark component. We calculate the first five odd ξ-moments of a_0(1450)-resonance twist-2 light-cone distribution amplitude (LCDA) using QCDSR within the background-field theory, including vacuum condensates up to dimension six. Based on these moments, two twist-2 LCDA schemes are constructed: a light-cone harmonic oscillator model (S1), whose free parameters are fitted to the first five odd moments, and a truncated Gegenbauer expansion (S2) retaining only a_1,3(μ). The B̅^0 → a_0(1450)^+ transition form factors are then calculated using light-cone sum rules. At large recoil region, we present the TFFs with different scheme. The finite-width effect of a_0(1450)-resonance is further incorporated through a two-channel Flatté parametrization including the πη and KK̅ channels. The πη invariant-mass distribution exhibits a pronounced resonance peak around s≃ m_a_0(1450)^2. The spectra of the electron and muon channels are nearly identical, while the τ-channel is significantly suppressed because the larger lepton mass reduces the available phase space. After integration over the full quasi-four-body phase space, the branching fractions are given. We expect that these results will provide useful guidance for future experimental and theoretical studies of B̅^0→ a_0(1450)^+ (→πη)ℓ^-ν̅_ℓ decay and help improve our understanding of the internal structure of a_0(1450).
ER  -