标题： 量子纠缠是量子的：LHC上的ZZ产生 显示英文标题

标题： Quantum Entanglement is Quantum: ZZ Production at the LHC

摘要： 极化和自旋关联在双玻色子系统中作为精确检验和新物理搜索的强大工具。最近，通过量子信息的视角来解释这些可观测量（例如检查双玻色子系统是否表现出纠缠）为这些研究引入了一个引人入胜的新维度。我们分析了过程$pp\to e^+e^-\mu^+\mu^-$和$h\to e^+e^-\mu^+\mu^-$中的角系数，同时纳入高阶 QCD 和电弱修正。受自旋密度矩阵基本性质的引导，我们评估了辐射效应下两量子三态解释的稳定性。对于$pp \to e^+e^-\mu^+\mu^-$过程，NLO QCD 修正保留了两量子三态结构但削弱了纠缠指标，这种影响可以通过喷注分箱部分缓解。相比之下，电弱修正引入非可分解贡献，改变系统的量子特性。虽然这些效应可以通过选择具有双共振$ZZ$结构的事件大大减弱，但对于希格斯衰变来说，这种动力学方法并不适用。在$h \to e^+e^-\mu^+\mu^-$通道中，单共振 NLO 电弱修正显著扭曲了角系数，挑战了将这些事件描述为两量子三态系统的可能性。 显示英文摘要

摘要： Polarization and spin correlations in diboson systems serve as powerful tools for precision tests and searches for new physics. Recently, interpreting these observables through the lens of quantum information, for instance by examining whether the diboson systems exhibit entanglement, has introduced a compelling new dimension to these studies. We analyze the angular coefficients in the processes $pp\to e^+e^-\mu^+\mu^-$ and $h\to e^+e^-\mu^+\mu^-$, incorporating higher-order QCD and electroweak corrections. Guided by the fundamental properties of the spin density matrix, we assess the stability of the two-qutrit interpretation under radiative effects. For the $pp \to e^+e^-\mu^+\mu^-$ process, NLO QCD corrections preserve the two-qutrit structure but weaken entanglement indicators, an effect that can be partially mitigated by jet binning. In contrast, electroweak corrections introduce non-factorizable contributions that modify the quantum properties of the system. While these effects can be largely depleted by selecting events with a double-resonant $ZZ$ structure, such a kinematic handle is not available for Higgs decays. In the $h \to e^+e^-\mu^+\mu^-$ channel, singly-resonant NLO electroweak corrections substantially distort the angular coefficients, challenging the description of these events as a two-qutrit system.