AI 中文总结
该研究重新审视B工厂中J/ψ产生的相对论修正，对三体末态夸克层次子过程的末态运动学参数完全展开，高能极限下与碎裂函数计算吻合，发现不同通道\(\mathcal{O}(v^2)\)修正影响，纳入多种效应后理论与实验仍有差异，需完整计算或高阶修正解决。
AI 中文摘要
我们重新审视了B工厂中包含J/ψ产生的相对论修正计算。对于具有三体末态的夸克层次的子过程，我们对末态运动学参数进行了完全展开。所得截面在理论上是自洽的，且与积分变量的选择无关。在高能极限下，截面大小以及能量和动量分布的修正曲线形状与碎裂函数计算结果非常吻合。我们发现，在J/ψ + X_{c\bar{c}}通道中，\(\mathcal{O}(v^2)\)修正使截面大约降低了14.55%，而在J/ψ + X_{\text{non-}c\bar{c}}通道中使其增加了约12.18%。在纳入已发表的\(\mathcal{O}(\alpha_s)\)修正、色八重态贡献、双光子产生通道和衰变效应后，理论预测与实验测量之间仍存在差异。这表明需要通过\(\mathcal{O}(\alpha_s, v^2)\)进行完整的即时夸克偶素计算，或纳入高阶修正的评估来解决这种差异。
英文摘要
We revisit the calculations of relativistic corrections to inclusive $J/ψ$ production at B factories. For quark-level subprocesses with three-body final states, we carry out a full expansion of the final-state kinematic parameters. The resulting cross sections are theoretically self-consistent and independent of the choice of integration variables. In the high-energy limit, both cross-section magnitudes and the line shapes of correction curves for energy and momentum distributions agree remarkably well with fragmentation-function calculations. We find that $\mathcal{O}(v^2)$ corrections suppress the cross section by roughly $14.55\%$ in the $J/ψ+ X_{c\bar{c}}$ channel and enhance it by approximately $12.18\%$ for the $J/ψ+ X_{\text{non-}c\bar{c}}$ channel. After incorporating published $\mathcal{O}(α_s)$ corrections, color-octet contributions, two-photon production channels, and feed-down effects, tension persists between theoretical predictions and experimental measurements. This indicates that complete prompt-quarkonium calculations through $\mathcal{O}(α_s, v^2)$, or evaluations incorporating higher-order corrections, are required to resolve this tension.
Comments14 pages, 4 figures
