We propose a novel method using the $ZZ$-fusion channel and forward muon detection at high energy muon colliders to address the challenge of the Higgs coupling-width degeneracy. Our approach enables inclusive Higgs rate measurement to 0.75% at 10 TeV muon collider, breaking the coupling-width degeneracy. Results indicate the potential to refine Higgs coupling to subpercent levels and estimate its total width within ($-0.41\%$, $+2.1\%$). Key insights include the effectiveness of forward muon tagging in signal-background separation despite broad recoil mass distribution due to muon energy reconstruction and beam energy spread. The study emphasizes the significance of muon rapidity coverage up to $|\eta (\mu )|<6$, enhancing measurement precision. Our findings highlight the unique capabilities of high energy lepton colliders for model-independent Higgs coupling determination and lay the groundwork for future advancements in muon collider technology and Higgs physics research.

中文翻译：

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具有正向μ子检测功能的高能μ子对撞机的希格斯玻色子宽度和耦合

我们提出了一种新颖的方法，使用$ZZ$-高能μ子对撞机的融合通道和前向μ子检测，以解决希格斯耦合宽度简并的挑战。我们的方法能够在 10 TeV μ 子对撞机上实现 0.75% 的包容性希格斯率测量，打破了耦合宽度简并性。结果表明有可能将希格斯耦合细化到百分之几的水平并估计其总宽度在（$-0.41\%$,$+2.1\%$）。关键见解包括正向μ子标记在信号背景分离中的有效性，尽管由于μ子能量重建和束流能量扩散而产生了广泛的反冲质量分布。该研究强调了μ介子速度覆盖范围的重要性$|\eta （\mu ）|<6$，提高测量精度。我们的研究结果突出了高能轻子对撞机在独立于模型的希格斯耦合测定方面的独特能力，并为μ子对撞机技术和希格斯物理研究的未来进步奠定了基础。