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

Yi, A. K.; Ahn, S.; Ko, B. R.; Semertzidis, Y. K.

doi:10.1007/jhep11(2023)115

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

Journal Article · 19 November 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep11(2023)115 · OSTI ID:2327090

Yi, A. K. ^[1]; Ahn, S. ^[2];

^[2]; Semertzidis, Y. K. ^[3]

SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Korea Advanced Inst. Science and Technology (KAIST), Daejeon (Korea, Republic of); Institute of Basic Science (IBS), Daejeon (Korea, Republic of); SLAC
Institute of Basic Science (IBS), Daejeon (Korea, Republic of)
Korea Advanced Inst. Science and Technology (KAIST), Daejeon (Korea, Republic of); Institute of Basic Science (IBS), Daejeon (Korea, Republic of)

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 2327090

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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