2020/11/23 by G. Punzi, Giovanni Punzi, Punzi, Giovanni · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Data Analysis #Experimental and Theoretical Physics Studies #FOS: Computer and information sciences #FOS: Physical sciences #Gaussian Processes and Bayesian Inference #High Energy Physics - Experiment (hep-ex) #Methodology (stat.ME) #Statistics and Probability (physics.data-an) #hep-ex #physics.data-an #stat.ME
paper · pdf · doi:10.48550/arxiv.2011.11770
6 pages, no figures
arxiv created 2020/11/23 · openalex publication_date 2020/11/23 · arxiv updated 2020/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.