Open Access

Analysis of three-body hadronic $D$ -meson decays

Inner Mongolia Key Laboratory of Microscale Physics and Atom Innovation, School of Physical Science and Technology, 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 111, 116008 – Published 11 June, 2025

DOI: https://doi.org/10.1103/rqbl-zdhj

Abstract

Motivated by recent experimental advances in three-body hadronic $D$ decays from BESIII, we present a systematic analysis of $D_{(s)} \to P_{1} (V \to) P_{2} P_{3}$ decay processes, where $V$ denotes vector resonances ( $ρ, K^{*}, ω$ , $ϕ$ ) and $P_{1, 2, 3}$ are light pseudoscalar mesons ( $π, K, η^{(')}$ ). Using the factorization-assisted topological-amplitude (FAT) approach, we calculate the intermediate subprocesses $D_{(s)} \to P_{1} V$ , incorporating relativistic Breit-Wigner distributions to model the subsequent $V \to P_{2} P_{3}$ strong decays. By comprehensively including all relevant resonances ( $ρ, K^{*}, ω, ϕ$ ), we calculate branching fractions for these decay modes as well as the Breit-Wigner-tail effects in $D_{(s)} \to P_{1} (ω \to) K K$ processes. Our framework comprehensively incorporates both factorizable and nonfactorizable contributions, significantly improving theoretical predictions in the nonperturbative regime where conventional methods face challenges due to the limited mass scale of charm mesons. The FAT approach yields results in good agreement with experimental data, demonstrating its effectiveness in capturing nonfactorizable contributions with improved precision. Our predictions for yet-unobserved decay modes, particularly those with branching fractions in the order of $10^{- 4} - 10^{- 3}$ , are expected to be tested in future high-precision experiments at BESIII and LHCb.

Physics Subject Headings (PhySH)

Particle decays

Article Text

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Phys. Rev. D 111, 116008– Published 11 June, 2025

Vol. 111, Iss. 11 — 1 June 2025

Received 27 March 2025
Accepted 30 May 2025

DOI: https://doi.org/10.1103/rqbl-zdhj

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 hadronic $D$ -meson decays

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Analysis of three-body hadronic D-meson decays

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Analysis of three-body hadronic $D$ -meson decays