四缪子道中轻L_μ-L_τ规范玻色子的柱状重构及高亮度LHC投影
Columnar Recasting and High-Luminosity LHC Projections for a Light $L_μ- L_τ$ Gauge Boson in the Four-Muon Channel
AI总结：
本研究在U(1)_{L_μ-L_τ}框架下重构LHC的Z'搜寻，建立基线灵敏度下限，并投影HL-LHC在四缪子道中5-28 GeV Z'的发现显著性达10.22σ至16.61σ，确立该道为轻矢量门户的主要探测手段。
AI中文摘要：
我们在轻子味普适的U(1)_{L_μ-L_τ}框架下，对LHC上轻矢量规范玻色子（Z'）的搜寻开展独立重构。在FeynRules中实现了一个简化的标准模型扩展，该扩展满足对称手征轻子流，同时抑制强子耦合。四缪子（4μ）末态的信号产生通过MadGraph5_aMC@NLO、Pythia8和调优后的Delphes3探测器模拟完成，覆盖质量范围5-62 GeV，参考耦合强度g=0.01。分析采用Coffea中基于Awkward Array掩码的向量化柱状流程，支持并行运动学选择及增强缪子拓扑的重建。通过pyhf对数字化的CMS Run 2本底（积分亮度77.3 fb⁻¹）进行统计提取。所得预期中位数极限轮廓与绝对实验灵敏度形态的偏差约为2.5倍，该偏差被成功量化为快速模拟探测器局限性及质量窗分箱计数策略相对于实验无分箱多变量分析的系统效应，由此建立了严格且保守的基线灵敏度下限。此外，我们基于欧洲核子中心（CERN）官方Scenario II建议，对未来高亮度LHC（HL-LHC）阶段在积分亮度ℒ_int=3000 fb⁻¹下的发现潜力进行了投影。我们定量证明，HL-LHC将在5-28 GeV质量窗内达到10.22σ至16.61σ的优异预期局域统计发现显著性，远超发现阈值，确立了多缪子道为未来对撞机阶段轻矢量门户的主要探测手段。
英文摘要：
We present an independent recasting of light vector gauge boson ($Z'$) searches at the LHC within the leptophilic $U(1)_{L_μ- L_τ}$ framework. A simplified Standard Model extension is implemented in FeynRules, enforcing symmetric chiral leptonic currents while suppressing hadronic couplings. Signal generation for the four-muon ($4μ$) final state is performed using MadGraph5_aMC@NLO, Pythia8, and a tuned Delphes3 detector emulation, covering the mass range 5-62 GeV under a reference coupling g=0.01. The analysis employs a vectorized columnar pipeline in Coffea with Awkward Array masks, enabling parallelized kinematic selections and the recovery of boosted muon topologies. Signal yields are statistically extracted via pyhf against digitized CMS Run 2 backgrounds (77.3 fb$^{-1}$). The resulting expected median limit profile tracks the absolute experimental sensitivity morphology within a factor of $\approx 2.5$, a discrepancy successfully quantified as a systematic consequence of fast-simulation detector limitations and the mass-window binned counting strategy relative to experimental unbinned multivariate profiling, thereby establishing a rigorous and conservative baseline sensitivity floor. Furthermore, we project the discovery potential for the future High-Luminosity LHC (HL-LHC) phase at $\mathcal{L}_{\text{int}} = 3000$ fb$^{-1}$ under the official CERN Scenario II recommendations. We demonstrate quantitatively that the HL-LHC will achieve exceptional expected local statistical discovery significances between 10.22$σ$ and 16.61$σ$ within the 5-28 GeV mass window, comfortably clearing the discovery threshold and establishing the multi-muon channel as a primary probe for lightweight vector portals in upcoming collider phases.
