학술논문

Analytical estimation of the signal to noise ratio efficiency in axion dark matter searches using a Savitzky-Golay filter
Document Type
Working Paper
Source
J. High Energ. Phys. 11 (2023) 115
Subject
Astrophysics - Instrumentation and Methods for Astrophysics
Astrophysics - Cosmology and Nongalactic Astrophysics
High Energy Physics - Experiment
Language
Abstract
The signal to noise ratio efficiency $\epsilon_{\rm SNR}$ 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 $\epsilon_{\rm SNR}$ 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 $\epsilon_{\rm SNR}$ 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 $\xi$ is approximately consistent with the $\epsilon_{\rm SNR}$. 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.
Comment: 14 pages, 7 figures, Accepted for publication in JHEP