论文标题
多通道搜索新信号的敏感性优化
Sensitivity optimization of multichannel searches for new signals
论文作者
论文摘要
在许多已发表的实验搜索中使用了搜索搜索新现象的灵敏度的常见定义。在大多数情况下，具有背景的泊松计数的简单近似公式被认为是足够的。但是，如今存在许多问题，需要进行更复杂的分析，涉及多个渠道。在本文中，将ARXIV：0308063的相同方法应用于多通道泊松问题，并以封闭形式得出了方便的公式，从而概述了简单计数实验的已知结果。对于搜索在平坦背景上叠加的高斯信号的常见情况，也得出了明确的解决方案。
The frequentist definition of sensitivity of a search for new phenomena proposed in arXiv:0308063 has been utilized in a number of published experimental searches. In most cases, the simple approximate formula for the common problem of Poisson counts with background has been deemed adequate for the purpose. There are however many problems nowadays in which more complex analysis is required, involving multiple channels. In this article, the same approach of arXiv:0308063 is applied to a multichannel Poisson problem, and a convenient formula is derived in closed form, generalizing the known result for the simple counting experiment. An explicit solution is also derived for the common case of a search for a Gaussian signal superimposed over a flat background.
