论文标题
$ h \ toτ^+τ^ - $在未来的Lepton Colliders中的量子信息和CP测量
Quantum information and CP measurement in $H \to τ^+ τ^-$ at future lepton colliders
论文作者
论文摘要
我们引入了一种方法，并研究了在$ h \ toτ^+τ^ - $ h $衰减中测量tau Lepton对的量子性能的可行性。特别是，检查了ILC和FCC-EE的纠缠，侵犯和违反贝尔不平等现象的观察。我们发现，检测量子相关性至关重要的依赖于Tau Lepton Rest框架的精确重建，并且简单的运动学重建是由于碰撞梁和检测器的有限能量分辨率而不足以进行的。为了纠正能量不种类措施，开发了一种对数类似方法，该方法结合了Tau Lepton衰变的影响参数的信息。我们证明，使用此方法可以准确测量量子性能。作为一种副产品，我们表明可以执行一种新颖的与CP违规的模型测试，并且可以通过与专用分析相当的准确性来限制$hττ$的CP期，即，即$ 7.9^{\ circ} $和$ 5.4^{\ 5.4^{\ circ} $ alc and fcc-- and lc and fcc- e，
We introduce a methodology and investigate the feasibility of measuring quantum properties of tau lepton pairs in the $H \to τ^+ τ^-$ decay at future lepton colliders. In particular, observation of entanglement, steerability and violation of Bell inequalities are examined for the ILC and FCC-ee. We find that detecting quantum correlation crucially relies on precise reconstruction of the tau lepton rest frame and a simple kinematics reconstruction does not suffice due to the finite energy resolution of the colliding beams and detectors. To correct for energy mismeasurements, a log-likelihood method is developed that incorporates the information of impact parameters of tau lepton decays. We demonstrate that an accurate measurement of quantum properties is possible with this method. As a by-product, we show that a novel model-independent test of CP violation can be performed and the CP-phase of $H ττ$ interaction can be constrained with an accuracy comparable to dedicated analyses, i.e., up to $7.9^{\circ}$ and $5.4^{\circ}$ at ILC and FCC-ee, respectively.
