$V + X$ 过程中的能量关联子作为精密量子色动力学的基准可观测量
Energy Correlators in $V + X$ as a Benchmark Observable for Precision QCD
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中文总结 AI 辅助
本研究提出将Z/γ反冲QCD辐射的投影能量关联子作为LHC精密QCD的基准可观测量，构建整合固定阶振幅、高阶重求和与非微扰矩阵元的框架，给出首个NLO+NNLL精度的匹配预言并展望NNLO计算。
中文摘要 AI 辅助
我们提出将在 $Z/\gamma$ 反冲QCD辐射上测量的投影能量关联子，作为大型强子对撞机（LHC）上精密量子色动力学（QCD）研究的基准可观测量。以 $Z/\gamma$ 作为硬标度无需使用喷注算法，简化了微扰与非微扰修正。我们构建了一套框架，整合了前沿的固定阶振幅、高阶重求和以及普适非微扰矩阵元。该方法基于数值计算的遍举硬函数，可灵活适配不同过程并纳入符合实际的实验截断。我们在次领头阶+次次领头对数（NLO+NNLL）精度下对投影能量关联子开展了详细数值研究，验证了我们计算框架的稳定性。我们给出了NLO+NNLL精度的数值结果，这是LHC上能量关联子在该阶数下首个完整的匹配预言。我们还讨论了向更高阶拓展的前景，勾勒出LHC上能量关联子NNLO计算的实现路径。
英文摘要
We propose projected energy correlators measured on the recoiling QCD radiation of a $Z/γ$ as a benchmark observable for precision QCD at the LHC. Using the $Z/γ$ as a hard scale prevents the need for a jet algorithm, simplifying both the perturbative and non-perturbative corrections. We develop a framework to combine state-of-the-art fixed-order amplitudes, high order resummation, and universal non-perturbative matrix elements. Our approach is based on numerically computed inclusive hard functions, allowing flexibility in the process and the inclusion of realistic experimental cuts. We perform detailed numerical studies of the projected energy correlators at next-to-leading order + next-to-next-to-leading logarithm (NLO+NNLL) to verify the stability of our setup. We present numerical results at NLO+NNLL, which are the first complete matched predictions for energy correlators at the LHC at this order. We discuss the prospects for extensions to higher orders, outlining a path to NNLO calculations of energy correlators at the LHC.
