The HAYSTAC Axion Search Analysis Procedure

Abstract

We describe in detail the analysis procedure used to derive the first limits from the Haloscope at Yale Sensitive to Axion CDM (HAYSTAC), a microwave cavity search for cold dark matter (CDM) axions with masses above $20\mu \text{eV}$. We have introduced several significant innovations to the axion search analysis pioneered by the Axion Dark Matter eXperiment (ADMX), including optimal filtering of the individual power spectra that constitute the axion search dataset and a consistent maximum likelihood procedure for combining and rebinning these spectra. These innovations enable us to obtain the axion-photon coupling $|g_{\gamma }|$ excluded at any desired confidence level directly from the statistics of the combined data.

33 pages, 10 figures; added changes made in review process

References in corpus (5)

• The Local Dark Matter Density
• Dielectric Haloscopes: A New Way to Detect Axion Dark Matter
• First results from a microwave cavity axion search at 24 micro-eV
• Design and Operational Experience of a Microwave Cavity Axion Detector for the 20-100 micro-eV Range
• Design and Calibration of the 34 GHz Yale Microwave Cavity Experiment

Cited by in corpus (7)

• Piezoelectrically Tuned Multimode Cavity Search for Axion Dark Matter
• Search for axion-like dark matter using solid-state nuclear magnetic resonance
• Search for Dark Matter Axions with CAST-CAPP
• Comparing Instrument Spectral Sensitivity of Dissimilar Electromagnetic Haloscopes to Axion Dark Matter and High Frequency Gravitational Waves
• Extended Axion Dark Matter Search Using the CAPP18T Haloscope
• Analytical estimation of the signal to noise ratio efficiency in axion dark matter searches using a Savitzky-Golay filter
• HAYSTAC Status, Results, and Plans