AI 中文总结
该研究扩展MadGraph5_aMC@NLO框架的MadSONS模块，实现含P波态的NRQCD/NRQED过程自动模拟，改进LHC上J/ψ + ψ(2S)产生的LHCb数据描述。
AI 中文摘要
我们提出了MadSONS模块，它通过为涉及非相对论束缚态的任意树级产生过程的模拟提供完全自动化的解决方案，扩展了MadGraph5_aMC@NLO框架。更具体地说，我们分别关注非相对论量子色动力学（NRQCD）下的夸克偶素产生和非相对论量子电动力学（NRQED）下的轻子偶素产生。这项工作是arXiv:2510.26773中启动的项目的下一步，该项目首次将S波态所需的色和自旋投影器纳入MadGraph5_aMC@NLO。在当前的开发中，我们实现了与轨道角动量和总角动量相关的剩余投影器，从而能够生成涉及P波态的过程的事例。轨道角动量投影所需的导数使用对偶数进行计算。此外，我们实现了一种动量重排程序，该程序考虑了相空间中的物理束缚态质量效应。由此产生的框架适用于广泛的对撞机环境，同时与用于部分子簇射和强子化的标准多用途蒙特卡洛事例生成器兼容。作为第一个唯象学应用，我们重新研究了大型强子对撞机（LHC）上的J/ψ + ψ(2S)产生，并获得了对LHCb数据的改进描述。
英文摘要
We present the $\texttt{MadSONS}$ module, which extends the $\texttt{MadGraph5_aMC@NLO}$ framework by providing a fully automated solution for the simulation of arbitrary tree-level production processes involving non-relativistic bound states. More specifically, we focus on the production of quarkonia and leptonia in non-relativistic QCD and QED, respectively. This work constitutes the next step in the programme initiated in arXiv:2510.26773, where the colour and spin projectors required for S-wave states were first incorporated into $\texttt{MadGraph5_aMC@NLO}$. In the present development, we implement the remaining projectors associated with orbital and total angular momentum, thereby enabling the event generation of processes involving P-wave states. The derivatives required for the orbital-angular-momentum projection are evaluated using dual numbers. In addition, we implement a momentum-reshuffling procedure that accounts for physical bound-state mass effects in the phase space. The resulting framework applies to a wide range of collider environments while remaining compatible with standard multi-purpose Monte Carlo event generators for parton showering and hadronisation. As a first phenomenological application, we revisit $J/ψ+ ψ(2{\rm S})$ production at the LHC and obtain an improved description of the LHCb data.
Comments64 pages, 6 figures, 15 tables, 1 ancillary file
