The $ρ(770,1450)\to ωπ$ contributions for three-body decays $B\to\bar{D}^{(*)} ωπ$
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916156349087744 |
|---|---|
| author | Ren, Yu-Shan Ma, Ai-Jun Wang, Wen-Fei |
| author_facet | Ren, Yu-Shan Ma, Ai-Jun Wang, Wen-Fei |
| contents | The decays $B\to\bar{D}^{(*)} ωπ$ are very important for the investigation of $ρ$ excitations and the test of factorization hypothesis for $B$ meson decays. The $B^{+}\to \bar{D}^{(*)0}ωπ^+$ and $B^{0}\to D^{(*)-}ωπ^+$ have been measured by different collaborations but without any predictions for their observables on theoretical side. In this work, we study the contributions of $ρ(770,1450)\to ωπ$ for the cascade decays $B^{+}\to \bar{D}^{(*)0} ρ^+ \to \bar{D}^{(*)0}ωπ^+$, $B^{0}\to D^{(*)-} ρ^+ \to D^{(*)-}ωπ^+$ and $B_s^{0}\to D_s^{(*)-} ρ^+ \to D^{(*)-}ωπ^+$. We introduce $ρ(770,1450)\to ωπ$ subprocesses into the distribution amplitudes for $ωπ$ system via the vector form factor $F_{ωπ}(s)$ and then predict the branching fractions for the first time for concerned quasi-two-body decays with $ρ(770,1450)\to ωπ$, as well as the corresponding longitudinal polarization fractions $Γ_L/Γ$ for the cases with the vector $\bar{D}^{*0}$ or $D_{(s)}^{*-}$ in their final states. The branching fractions of these quasi-two-body decays are predicted at the order of $10^{-3}$, which can be detected at the LHCb and Belle-II experiments. The predictions for the decays ${B}^0 \to{D}^{*-} ρ(770)^+\to {D}^{*-} ωπ^+$ and ${B}^0 \to {D}^{*-} ρ(1450)^+\to {D}^{*-} ωπ^+$ agree well with the measurements from Belle Collaboration. In order to avoid the pollution from annihilation Feynman diagrams, we recommend to take the $B_s^0 \to D_s^{*-}ρ(770,1450)^+$ decays, which have only emission diagrams at quark level, to test the factorization hypothesis for $B$ decays. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00413 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The $ρ(770,1450)\to ωπ$ contributions for three-body decays $B\to\bar{D}^{(*)} ωπ$ Ren, Yu-Shan Ma, Ai-Jun Wang, Wen-Fei High Energy Physics - Phenomenology High Energy Physics - Experiment The decays $B\to\bar{D}^{(*)} ωπ$ are very important for the investigation of $ρ$ excitations and the test of factorization hypothesis for $B$ meson decays. The $B^{+}\to \bar{D}^{(*)0}ωπ^+$ and $B^{0}\to D^{(*)-}ωπ^+$ have been measured by different collaborations but without any predictions for their observables on theoretical side. In this work, we study the contributions of $ρ(770,1450)\to ωπ$ for the cascade decays $B^{+}\to \bar{D}^{(*)0} ρ^+ \to \bar{D}^{(*)0}ωπ^+$, $B^{0}\to D^{(*)-} ρ^+ \to D^{(*)-}ωπ^+$ and $B_s^{0}\to D_s^{(*)-} ρ^+ \to D^{(*)-}ωπ^+$. We introduce $ρ(770,1450)\to ωπ$ subprocesses into the distribution amplitudes for $ωπ$ system via the vector form factor $F_{ωπ}(s)$ and then predict the branching fractions for the first time for concerned quasi-two-body decays with $ρ(770,1450)\to ωπ$, as well as the corresponding longitudinal polarization fractions $Γ_L/Γ$ for the cases with the vector $\bar{D}^{*0}$ or $D_{(s)}^{*-}$ in their final states. The branching fractions of these quasi-two-body decays are predicted at the order of $10^{-3}$, which can be detected at the LHCb and Belle-II experiments. The predictions for the decays ${B}^0 \to{D}^{*-} ρ(770)^+\to {D}^{*-} ωπ^+$ and ${B}^0 \to {D}^{*-} ρ(1450)^+\to {D}^{*-} ωπ^+$ agree well with the measurements from Belle Collaboration. In order to avoid the pollution from annihilation Feynman diagrams, we recommend to take the $B_s^0 \to D_s^{*-}ρ(770,1450)^+$ decays, which have only emission diagrams at quark level, to test the factorization hypothesis for $B$ decays. |
| title | The $ρ(770,1450)\to ωπ$ contributions for three-body decays $B\to\bar{D}^{(*)} ωπ$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2311.00413 |