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Analysis of three-body charmed $B$ meson decays $B \to D (V^{*} \to) V P$

Jing Ou-Yang, Run-Hui Li , and Si-Hong Zhou ^*

School of Physical Science and Technology, & Inner Mongolia Key Laboratory of Microscale Physics and Atomic Manufacturing, Inner Mongolia University, Hohhot 010021, China and Center for Quantum Physics and Technologies, School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China

^*Contact author: shzhou@imu.edu.cn

Phys. Rev. D 112, 056005 – Published 9 September, 2025

DOI: https://doi.org/10.1103/vl97-y4ql

Abstract

We systematically analyze the decays $B_{(s)} \to D_{(s)} (V^{*} \to) V P$ , where $V^{*}$ represents a vector resonance ( $ρ$ , $ω$ , or $K^{*}$ ), and $V P$ denotes the final-state meson pairs $ω π$ , $ρ π$ , and $ρ K$ . The intermediate subprocesses $B_{(s)} \to D_{(s)} V^{*}$ are calculated in the factorization-assisted topological-amplitude approach, while the intermediate resonant states $V^{*}$ are modeled using a relativistic Breit-Wigner distribution, subsequently decaying into $V P$ through strong interactions. We predict the off-shell effects of the ground-state resonances ( $ρ, ω, K^{*}$ ) in $B_{(s)} \to D_{(s)} (V^{*} \to) V P$ . Our results show that the virtual contributions from $ρ \to ω π$ , $ω \to ρ π$ , and $K^{*} \to ρ K$ are crucial for these three-body decays, $B_{(s)} \to D_{(s)} V P$ . In particular, the branching fractions arising from the $ρ$ and $ω$ virtual effects can be comparable to the total decay rates of $B_{(s)} \to D_{(s)} ω π$ and $B_{(s)} \to D_{(s)} ρ π$ , respectively. Decays with branching fractions of order $10^{- 6} - 10^{- 4}$ are expected to be measurable at Belle II and LHCb. Compared with previous perturbative QCD predictions for $B_{(s)} \to D_{(s)} (ρ \to) ω π$ , our results are consistent but exhibit higher precision.

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Phys. Rev. D 112, 056005– Published 9 September, 2025

Vol. 112, Iss. 5 — 1 September 2025

Received 19 June 2025
Accepted 20 August 2025

DOI: https://doi.org/10.1103/vl97-y4ql

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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Analysis of three-body charmed $B$ meson decays $B \to D (V^{*} \to) V P$

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Analysis of three-body charmed B meson decays B→D(V*→)VP

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Analysis of three-body charmed $B$ meson decays $B \to D (V^{*} \to) V P$