AI 中文总结
研究重夸克偶素专属光生过程，计算\(O(v^2)\)修正，考虑相关高阶修正，利用Gremm - Kapustin关系表示，虽在特定尺度下修正可忽略，但能抵消部分\(\mu_F\)依赖性，提升预测稳健性。
AI 中文摘要
计算了强子上矢量（\(1^{--}\)）重夸克偶素专属光生过程的高能重整化系数函数的\(O(v^2)\)修正，考虑了\(O(v^2 \alpha_s^n \ln^{n - 1}(x / \xi))\)的修正。利用Gremm - Kapustin关系以物理矢量介子质量（\(M_V\)）和相对重夸克速度（\(\langle v^2 \rangle\)）表示时，在\(\mu_F = M_V\)尺度下该修正可忽略，但部分抵消了\(\alpha_s\)中LO系数函数\(O(v^2)\)修正的\(\mu_F\)依赖性，提高了预测的稳健性。
英文摘要
The $O(v^2)$ correction to the high-energy resummed coefficient function for the exclusive photoproduction of vector ($1^{--}$) heavy quarkonia off hadrons is computed, thereby taking into account corrections of $O(v^2 α_s^n \ln^{n-1}(x/ξ))$. When expressed in terms of the physical vector-meson mass ($M_V$) and the relative heavy-quark velocity ($\langle v^2 \rangle$) using the Gremm-Kapustin relation, the computed correction turns out to be negligible at the scale $μ_F=M_V$. However, it partially cancels the $μ_F$ dependence of the $O(v^2)$ correction to the LO coefficient function in $α_s$, thereby improving the robustness of the predictions.
Comments12 pages, 4 figures
