AI 中文总结
本研究利用光锥求和规则（LCSR），结合硬共线因子化与高扭度分布振幅，精确计算$D^*D^*π$和$B^*B^*π$耦合，预测耦合常数并提取通用静态耦合，凸显重夸克自旋对称性破缺效应的重要性。
AI 中文摘要
我们利用π介子光锥分布振幅，通过光锥求和规则（LCSR）重新计算强耦合$D^{*}D^{*}\pi$和$B^{*}B^{*}\pi$。通过建立领头阶下的硬共线因子化公式，考虑到量子色动力学（QCD）跑动耦合常数$\alpha_s$的次领头阶修正，提升了 underlying 关联函数的精度。此外，我们通过评估两粒子和三粒子的 twist-4 精度的高扭度π介子分布振幅，系统地引入了次领头阶贡献。通过将 QCD 层面的谱表示与强子色散关系匹配，我们开展了考虑重夸克质量有限性的可靠数值分析，并仔细评估了源于二维夸克-强子对偶假设的系统不确定性。我们预测$g_{D^{*}D^{*}\pi} = 5.71_{-0.53}^{+0.67} \text{ GeV}^{-1}$，$g_{B^{*}B^{*}\pi} = 4.90_{-0.44}^{+0.57} \text{ GeV}^{-1}$。最后，我们通过参数化$1/m_H$（$H=D,\\,B$）幂次修正，提取通用静态耦合$\hat{g} = 0.30 \pm 0.04$，并将我们的结果与此前的理论计算和实验数据进行对比，强调了重夸克自旋对称性破缺效应的重要性。
英文摘要
We revisit the calculation of the strong couplings $D^{*}D^{*}π$ and $B^{*}B^{*}π$ from the light-cone sum rules (LCSR) using the pion light-cone distribution amplitudes. The accuracy of the underlying correlation function is upgraded by establishing the hard-collinear factorization formula at the leading power up to the next-to-leading order in $α_s$. Furthermore, the next-to-leading power contributions are systematically incorporated at the leading order by evaluating the two-particle and three-particle higher-twist pion distribution amplitudes up to twist-4 accuracy. By matching the QCD-level spectral representations with the hadronic dispersion relations, we present a solid numerical analysis that accounts for the finite heavy quark masses and carefully evaluates the systematic uncertainty originating from the two-dimensional quark-hadron duality ansatz. We predict $g_{D^{*}D^{*}π} = 5.71_{-0.53}^{+0.67} \text{ GeV}^{-1}$ and $g_{B^{*}B^{*}π} = 4.90_{-0.44}^{+0.57} \text{ GeV}^{-1}$. Finally, by parameterizing the $1/m_H$ (with $H=D,\,B$) power corrections to extract the universal static coupling $\hat{g} = 0.30 \pm 0.04$, we compare our results with previous theoretical determinations and experimental data, highlighting the significance of heavy quark spin symmetry breaking effects.
Comments26 pages, 2 figures
