Role of $ρ-ω$ interference in semileptonic $B \to π^+ π^- \ell \bar ν_\ell$ decays
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911858930221056 |
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| author | Bernlochner, Florian U. Wallner, Stefan |
| author_facet | Bernlochner, Florian U. Wallner, Stefan |
| contents | It is long known that interference effects play an important role in understanding the shape of the $π^+π^-$ spectrum of resonances near the threshold. In this manuscript we investigate the role of the $ρ-ω$ interference in the study of semileptonic $B \to π^+ π^- \ell \bar ν_\ell$ decays. We determine for the first time the strong phase between $B \to ρ^0 \ell \bar ν_\ell$ and $B \to ω\ell \bar ν_\ell$ from a recent Belle measurement of the $m_{ππ}$ spectrum of $B \to π^+ π^- \ell \bar ν_\ell$. We find $ ϕ_{ρ-ω} = \left( -46_{-67}^{+155} \right)\unicode{xb0}$ and extract the branching fraction of $\mathcal{B}(B \to ρ^0 \ell \bar ν_\ell) = \left(1.41_{-0.38}^{+0.49} \right) \times 10^{-4} $. In addition, we set a limit on the $S$-wave component within a mass window ranging from $2 m_π$ to $1.02 \, \mathrm{GeV}$ of $ 0.51 \times 10^{-4} \,\, \mathrm{at} \, \, 90\% \, \mathrm{CL} $. We also determine the absolute value of the Cabibbo-Kobayashi-Maskawa matrix element of $|V_{ub}|_{ρ-ω} = \left( 3.03^{+0.49}_{-0.44} \right) \times 10^{-3}$, which takes into account the $ρ-ω$ interference. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08779 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Role of $ρ-ω$ interference in semileptonic $B \to π^+ π^- \ell \bar ν_\ell$ decays Bernlochner, Florian U. Wallner, Stefan High Energy Physics - Phenomenology High Energy Physics - Experiment It is long known that interference effects play an important role in understanding the shape of the $π^+π^-$ spectrum of resonances near the threshold. In this manuscript we investigate the role of the $ρ-ω$ interference in the study of semileptonic $B \to π^+ π^- \ell \bar ν_\ell$ decays. We determine for the first time the strong phase between $B \to ρ^0 \ell \bar ν_\ell$ and $B \to ω\ell \bar ν_\ell$ from a recent Belle measurement of the $m_{ππ}$ spectrum of $B \to π^+ π^- \ell \bar ν_\ell$. We find $ ϕ_{ρ-ω} = \left( -46_{-67}^{+155} \right)\unicode{xb0}$ and extract the branching fraction of $\mathcal{B}(B \to ρ^0 \ell \bar ν_\ell) = \left(1.41_{-0.38}^{+0.49} \right) \times 10^{-4} $. In addition, we set a limit on the $S$-wave component within a mass window ranging from $2 m_π$ to $1.02 \, \mathrm{GeV}$ of $ 0.51 \times 10^{-4} \,\, \mathrm{at} \, \, 90\% \, \mathrm{CL} $. We also determine the absolute value of the Cabibbo-Kobayashi-Maskawa matrix element of $|V_{ub}|_{ρ-ω} = \left( 3.03^{+0.49}_{-0.44} \right) \times 10^{-3}$, which takes into account the $ρ-ω$ interference. |
| title | Role of $ρ-ω$ interference in semileptonic $B \to π^+ π^- \ell \bar ν_\ell$ decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2401.08779 |