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A simple alternative to the Crystal Ball function

2016/03/06 by Souvik Das, S. Das, Das, Souvik · 4 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Gaussian Processes and Bayesian Inference #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Particle Detector Development and Performance #Particle physics theoretical and experimental studies #hep-ex #hep-ph

paper · pdf · doi:10.48550/arxiv.1603.08591

6 pages, 6 figures

arxiv created 2016/03/06 · openalex publication_date 2016/03/06 · arxiv updated 2016/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a simple alternative to the Crystal Ball function that has an exponential tail stitched to a Gaussian core. It has one parameter less than the Crystal Ball function and, where appropriate, offers more stable fits to peaks that continue into exponential tails. The function may also be extended with two exponential tails on each side of the Gaussian, and this has two parameters less than the corresponding double-shouldered Crystal Ball function. This function has been used to model background and signal processes in a recent Higgs pair production search and may be of versatile use in experimental physics and other fields.

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