A Statistical Framework for Axion Direct Detection and its Application to ABRACADABRA-10cm and Beyond

Axions, which can simultaneously solve the Strong CP problem and serve as the dark matter, are a well-motivated feature of BSM physics, and the ABRACADABRA collaboration has recently produced the most sensitive lab-based constraints on axion dark matter at masses below $1 \, \mu \mathrm{eV}$ with the prototype ABRACADABRA-10cm detector. This talk will review an analysis framework for axion direct detection and its application that shows ABRACADABRA-10cm operates with theoretically expected detection sensitivity and results in statistically rigorous limits, with highly positive implications for future large-scale versions of the detector. I will also briefly comment on the framework's application at other experiments, and its necessity and utility as a number of developing experimental efforts begin to target the largely unconstrained axion parameter space.