Statistical sensitivity estimates for oscillating electric dipole moment measurements in storage rings
J\"org Pretz, Seung Pyo Chang, Volker Hejny, Swathi Karanth, Seongtae, Park, Yannis Semertzidis, Ed Stephenson, Hans Str\"oher

TL;DR
This paper derives analytical formulas to estimate the sensitivity of storage ring experiments in detecting oscillating electric dipole moments caused by axion fields, aiding in axion search strategies.
Contribution
It provides the first analytical expressions for spin motion in the presence of axion-induced oscillating EDMs, validated against numerical simulations.
Findings
Analytical expressions match simulation results well.
Sensitivity estimates can guide experimental design.
Supports axion search efforts in storage ring experiments.
Abstract
In this paper analytical expressions are derived to describe the spin motion of a particle in magnetic and electric fields in the presence of an axion field causing an oscillating electric dipole moment (EDM). These equations are used to estimate statistical sensitivities for axion searches at storage rings. The estimates obtained from the analytic expressions are compared to numerical estimates from simulations in S.P. Chang et al (Phys.Rev. D99 (2019) no.8, 083002). A good agreement is found.
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