AI 中文总结
研究在μ子对撞机中由六维四轻子算符引起的带电轻子味违反，通过对特定过程的研究及最优可观测量分析进行全局拟合，预测灵敏度比当前限制高出一个数量级，凸显μ子对撞机对相关相互作用的强敏感性。
AI 中文摘要
我们在标准模型有效场论框架下，研究了在提议的高能μ子对撞机中由六维四轻子算符引起的带电轻子味违反（LFV）。我们研究了\(\mu^{+}\mu^{-}\to e^{\pm}\tau^{\mp}\)、\(\mu^{+}\mu^{-}\to e^{\pm}\mu^{\mp}\)和\(\mu^{+}\mu^{-}\to \mu^{\pm}\tau^{\mp}\)过程，碰撞能量分别为\(\sqrt{s}=3\)、\(10\)和\(14\) TeV，并考虑了束流极化和强子\(\tau\)重建。通过对角度分布进行最优可观测量分析，对相关的四轻子算符集进行全局拟合。根据算符的味和手征结构，预测灵敏度可达\(C/\Lambda^{2}\sim(0.6 - 1.6)\times10^{-11}\,\mathrm{GeV}^{-2}\)，比当前限制高出一个数量级。对多个质心能量和束流极化的联合分析显著提高了威尔逊系数之间相关性的分辨率。这些结果突出了未来多TeVμ子对撞机对带电轻子味违反四轻子相互作用的强敏感性，确立了其作为SMEFT参数空间有力探测工具的地位。
英文摘要
We investigate charged lepton-flavour violation (LFV) induced by dimension-six four-lepton operators within the Standard Model Effective Field Theory at a proposed high-energy muon collider. We study the processes $μ^{+}μ^{-}\to e^{\pm}τ^{\mp}$, $μ^{+}μ^{-}\to e^{\pm}μ^{\mp}$, and $μ^{+}μ^{-}\to μ^{\pm}τ^{\mp}$ at $\sqrt{s}=3$, $10$, and $14$~TeV, incorporating beam polarisation and hadronic $τ$ reconstruction. Using an optimal-observable analysis of the angular distributions, we perform a global fit to the relevant set of four-lepton operators. Projected sensitivities reach $C/Λ^{2}\sim(0.6$-$1.6)\times10^{-11}\,\mathrm{GeV}^{-2}$, depending on the flavour and chiral structure of the operator, exceeding current limits by up to an order of magnitude. A combined analysis of multiple centre-of-mass energies and beam polarisations significantly improves the resolution of correlations among the Wilson coefficients. These results highlight the strong sensitivity of a future multi-TeV muon collider to charged lepton flavour violating four-lepton interactions, establishing it as a powerful probe of the SMEFT parameter space.
Comments19 pages, 8 figures, 5 Tables
