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Phenomenological analysis of charmless $B \to P V$ decays in the modified perturbative QCD approach

Sheng Lü ^*, Ru-Xuan Wang ^†, and Mao-Zhi Yang ^‡

School of Physics, Nankai University, Tianjin 300071, People’s Republic of China

^*Contact author: shenglyu@mail.nankai.edu.cn
^†Contact author: wangrx@mail.nankai.edu.cn
^‡Contact author: yangmz@nankai.edu.cn

Phys. Rev. D 114, 013010 – Published 21 July, 2026

DOI: https://doi.org/10.1103/47bk-jjq4

Abstract

We analyze the charmless two-body decays of the $B$ meson into a pseudoscalar and a vector meson, referred to as $B \to P V$ decay, within the framework of the modified perturbative QCD (PQCD) approach, which was originally developed to solve the long-standing puzzles, the so-called $π π$ and $π K$ puzzles. In this method, based on the conventional PQCD calculations, soft form factors and contributions arising from color-octet quark-antiquark components in the final state are introduced, which involve essentially nonperturbative dynamics. By employing the flavor SU(3) symmetry and its breaking effect, the parameters describing soft contributions are correlated and subsequently reduced into a more concise set of SU(3) parameters. Through a $χ^{2}$ analysis procedure applied to the experimental data, these parameters are determined, from which the corresponding theoretical results for the branching ratios and $C P$ asymmetries in $B \to P V$ decays are derived. Within this framework, it is demonstrated that the theoretical calculations align well with experimental measurements, suggesting that the method developed for solving $π π$ and $π K$ puzzles can be extended to more decay modes of the $B$ meson. The numerical analysis shows that these soft contributions have a significant influence on the theoretical results. Furthermore, more precise experimental data are needed for deeper investigations of the $C P$ asymmetries.

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Phys. Rev. D 114, 013010– Published 21 July, 2026

Vol. 114, Iss. 1 — 1 July 2026

Received 1 December 2025
Accepted 25 June 2026

DOI: https://doi.org/10.1103/47bk-jjq4

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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Phenomenological analysis of charmless $B \to P V$ decays in the modified perturbative QCD approach

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Phenomenological analysis of charmless B→PV decays in the modified perturbative QCD approach

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Phenomenological analysis of charmless $B \to P V$ decays in the modified perturbative QCD approach