发表机构
Malek Ashtar University of Technology; Shahid Beheshti University（马利克·阿什塔尔理工大学; 沙希德·贝赫什蒂大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在硬墙 AdS/QCD 框架下系统计算了重矢量介子半轻子衰变的跃迁形状因子与分支比，覆盖四种夸克跃迁，并与非微扰方法结果比较。
AI 中文摘要
我们在硬墙 AdS/QCD 框架内对重矢量介子的半轻子衰变进行了系统性研究。半轻子衰变为检验标准模型提供了干净的环境，因为轻子流已被充分理解，而强子部分则编码在反映非微扰 QCD 动力学的跃迁形状因子中。所考虑的衰变过程包括：$\psi \to D^{*-} ( D^{-} ) \ell^{+} {\nu}_{\ell}$、$D^{*0} \to \pi^{-} \ell^{+} {\nu}_{\ell}$、$D^{*+}_{s} \to K^{0} \ell^{+} {\nu}_{\ell}$、$D^{*0} \to \rho^{-} \ell^{+} {\nu}_{\ell}$、$B_c^{*+} \to B^{*0} \ell^{+} {\nu}_{\ell}$、$B_c^{*+} \to \psi \\,\ell^{+} {\nu}_{\ell}$、$B^{*-} \to D^{*0} \ell^{-} \bar{\nu}_{\ell}$、$B^{*0} \to D^{*+}(D^{+}) \ell^{-} \bar{\nu}_{\ell}$、$B^{*0}_{s} \to D^{*+}_{s} (D^{+}_{s}) \ell^{-} \bar{\nu}_{\ell}$、$\psi \to D^{*-}_{s}(D^{-}_{s}) \ell^{+} {\nu}_{\ell}$、$D^{*0} \to K^{*-} (K^{-}) \ell^{+} {\nu}_{\ell}$、$B_c^{*-} \to D^{*0} \ell^{-} \bar{\nu}_{\ell}$、$\bar{B_{s}}^{*0} \to K^{*+} \ell^{-} \bar{\nu}_{\ell}$ 和 $\bar{B}^{*0} \to \rho^{+} \ell^{-} \bar{\nu}_{\ell}$。这些衰变对应于四种不同的夸克级跃迁：$c\to d$、$b\to c$、$c\to s$ 和 $b\to u$，使我们能够探索广泛的味动力学。\n利用硬墙 AdS/QCD 模型，我们计算了作为动量转移 $q^{2}$ 函数的相应跃迁形状因子。该框架为介子波函数和衰变常数提供了解析表达式，这些作为形状因子计算的输入。从这些形状因子出发，我们评估了每种衰变模式的微分和积分分支比。在可能的情况下，我们将我们的预测与其他非微扰方法获得的结果进行了比较。
英文摘要
We present a systematic study of semileptonic decays of heavy vector mesons within the Hard-Wall AdS/QCD framework. Semileptonic decays provide a clean environment for testing the Standard Model because the leptonic current is well understood, while the hadronic part is encoded in transition form factors that reflect non-perturbative QCD dynamics. The processes under consideration include: \( ψ\to D^{*-} ( D^{-} ) \ell^{+} ν_{\ell} \), \( D^{*0} \to π^{-} \ell^{+} ν_{\ell} \), \( D^{*+}_{s} \to K^{0} \ell^{+} ν_{\ell} \), \( D^{*0} \to ρ^{-} \ell^{+} ν_{\ell} \), \( B_c^{*+} \to B^{*0} \ell^{+} ν_{\ell} \), \( B_c^{*+} \to ψ\,\ell^{+} ν_{\ell} \), \( B^{*-} \to D^{*0} \ell^{-} \barν_{\ell} \), \( B^{*0} \to D^{*+}(D^{+}) \ell^{-} \barν_{\ell} \), \( B^{*0}_{s} \to D^{*+}_{s} (D^{+}_{s}) \ell^{-} \barν_{\ell} \), \( ψ\to D^{*-}_{s}(D^{-}_{s}) \ell^{+} ν_{\ell} \), \( D^{*0} \to K^{*-} (K^{-}) \ell^{+} ν_{\ell} \), \( B_c^{*-} \to D^{*0} \ell^{-} \barν_{\ell} \), \( \bar{B_{s}}^{*0} \to K^{*+} \ell^{-} \barν_{\ell} \), and \( \bar{B}^{*0} \to ρ^{+} \ell^{-} \barν_{\ell} \). These decays correspond to four different quark-level transitions: \(c\to d\), \(b\to c\), \(c\to s\), and \(b\to u\), allowing us to explore a broad range of flavor dynamics.\\ Using the Hard-Wall AdS/QCD model, we compute the relevant transition form factors as functions of the momentum transfer \(q^{2}\). The framework provides analytic expressions for meson wave functions and decay constants, which serve as inputs for the form-factor calculations. From these form factors, we evaluate the differential and integrated branching ratios for each decay mode. Where possible, we compare our predictions with results obtained from other non-perturbative approaches.
