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Study of $B_{c} \to J / ψ$ ( $a_{1} (1260)$ , $b_{1} (1235)$ , $a_{2} (1320)$ , $K_{2}^{*} (1430))$ decays with a perturbative QCD approach

School of Physical Science and Technology, Southwest University, Chongqing 400715, China

^*Contact author: 2956368954@qq.com
^†Contact author: yuxq@swu.edu.cn

Phys. Rev. D 113, 056018 – Published 20 March, 2026

DOI: https://doi.org/10.1103/h1fq-f8fr

Abstract

Motivated by systematic observations of $B_{c}$ decays at LHCb, we analyze $B_{c}^{+} \to J / ψ (A, T)$ decays [where $A$ denotes axial-vector mesons $a_{1} (1260)^{+}$ , $b_{1} (1235)^{+}$ , and $T$ denotes tensor mesons $a_{2} (1320)^{+}$ , $K_{2}^{*} (1430)^{+}$ ] within the perturbative QCD (pQCD) factorization framework. The framework employs light-cone distribution amplitudes to regulate nonperturbative dynamics, utilizing Sudakov suppression to control endpoint divergences. Our predictions indicate branching ratios of $10^{- 3} - 10^{- 2}$ for $B_{c}^{+} \to J / ψ A$ and $10^{- 5} - 10^{- 4}$ for $B_{c}^{+} \to J / ψ T$ decays, which seem to be in the reach of future experiments. We also provide predictions for the polarization fractions of these decays. Based on quark helicity analysis, the longitudinal polarization amplitudes are expected to dominate the branching ratios.

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Phys. Rev. D 113, 056018– Published 20 March, 2026

Vol. 113, Iss. 5 — 1 March 2026

Received 1 October 2025
Accepted 19 February 2026

DOI: https://doi.org/10.1103/h1fq-f8fr

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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Study of $B_{c} \to J / ψ$ ( $a_{1} (1260)$ , $b_{1} (1235)$ , $a_{2} (1320)$ , $K_{2}^{*} (1430))$ decays with a perturbative QCD approach

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Study of Bc→J/ψ (a1(1260), b1(1235), a2(1320), K2*(1430)) decays with a perturbative QCD approach

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Physics Subject Headings (PhySH)

Article Text

References (59)

Study of $B_{c} \to J / ψ$ ( $a_{1} (1260)$ , $b_{1} (1235)$ , $a_{2} (1320)$ , $K_{2}^{*} (1430))$ decays with a perturbative QCD approach