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Main Authors: Zhao, Yun, Yu, Xian-Qiao
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.21779
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author Zhao, Yun
Yu, Xian-Qiao
author_facet Zhao, Yun
Yu, Xian-Qiao
contents 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 (LCDAs) to regulate nonperturbative dynamics, utilizing Sudakov suppression to control endpoint divergences. Our predictions indicate branching ratios of $10^{-3}\sim 10^{-2}$ for $B_c^{+} \to J/ψA$ and $10^{-5}\sim 10^{-4}$ for $B_c^{+} \to J/ψT$ 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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id arxiv_https___arxiv_org_abs_2509_21779
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publishDate 2025
record_format arxiv
spellingShingle Study of $B_{c} \to J/ψ(a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^*(1430)) $ decay with a perturbative QCD approach
Zhao, Yun
Yu, Xian-Qiao
High Energy Physics - Phenomenology
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 (LCDAs) to regulate nonperturbative dynamics, utilizing Sudakov suppression to control endpoint divergences. Our predictions indicate branching ratios of $10^{-3}\sim 10^{-2}$ for $B_c^{+} \to J/ψA$ and $10^{-5}\sim 10^{-4}$ for $B_c^{+} \to J/ψT$ 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.
title Study of $B_{c} \to J/ψ(a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^*(1430)) $ decay with a perturbative QCD approach
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.21779