Analytical estimation of the signal to noise ratio efficiency in axion dark matter searches using a Savitzky-Golay filter

• Published in: The journal of high energy physics 2023-11, Vol.2023 (11), p.115-15, Article 115
• Main Authors: Yi, A. K., Ahn, S., Ko, B. R., Semertzidis, Y. K.
• Format: Article
• Language: English
• Subjects: Axions and ALPs; Classical and Quantum Gravitation; Computational efficiency; Computing time; Dark matter; Elementary Particles; High energy physics; Hypothetical particles; Mathematical analysis; Models for Dark Matter; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Searching; Signal to noise ratio; String Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2023)115

A bstract The signal to noise ratio efficiency ϵ SNR in axion dark matter searches has been estimated using large-statistic simulation data reflecting the background information and the expected axion signal power obtained from a real experiment. This usually requires a lot of computing time even with the assistance of powerful computing resources. Employing a Savitzky-Golay filter for background subtraction, in this work, we estimated a fully analytical ϵ SNR without relying on large-statistic simulation data, but only with an arbitrary axion mass and the relevant signal shape information. Hence, our work can provide ϵ SNR using minimal computing time and resources prior to the acquisition of experimental data, without the detailed information that has to be obtained from real experiments. Axion haloscope searches have been observing the coincidence that the frequency independent scale factor ξ is approximately consistent with the ϵ SNR . This was confirmed analytically in this work, when the window length of the Savitzky-Golay filter is reasonably wide enough, i.e., at least 5 times the signal window.