无似然函数的角观测量提取及其在稀有衰变中的应用
Extracting Angular Observables without a Likelihood and Applications to Rare Decays
摘要：
我们的目标是获得一套完整的角观测量产生的一个通用的多体过程。我们展示了如何实现这一点，而不需要进行可能性适合的角分布的测量事件。相反，我们应用的矩量法，依赖于角函数的正交性和蒙特卡罗技术的积分估计。这种方法的最大优点是可以很容易地提取所有可观测量的联合分布，即使是非常少的事件。矩量法是强大的对角分布的错误建模。我们的主要结果是一个明确的算法，占系统的不确定性，从探测器的分辨率和接受效果。最后，我们提出了必要的过程相关的公式需要直接应用的方法，几个罕见的衰变的利益。
英文摘要：
Our goal is to obtain a complete set of angular observables arising in a generic multi-body process. We show how this can be achieved without the need to carry out a likelihood fit of the angular distribution to the measured events. Instead, we apply the method of moments that relies both on the orthogonality of angular functions and the estimation of integrals by Monte Carlo techniques. The big advantage of this method is that the joint distribution of all observables can be easily extracted, even for very few events. The method of moments is shown to be robust against mismodeling of the angular distribution. Our main result is an explicit algorithm that accounts for systematic uncertainties from detector-resolution and acceptance effects. Finally, we present the necessary process-dependent formulae needed for direct application of the method to several rare decays of interest.
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