arXiv · 2412.19580
Muonium fine structure: theory update, tests of Lorentz violation and experimental prospects
Abstract
We review the status of the QED calculations for the muonium $2S_{1/2}-2P_{3/2}$ energy interval and provide the updated theoretical value of $9874.357\pm0.001\,\mathrm{MHz}$. Additionally, we present a model for probing Lorentz-violating coefficients within the Standard Model Extension framework using the fine structure measurement in the presence and absence of a weak external magnetic field, enabling novel tests of CPT and Lorentz symmetry. Using Monte Carlo simulations, we estimate that a precision of $\sim 10\,\mathrm{kHz}$ on the isolated $2S_{1/2}, F=1 - 2P_{3/2}, F=1$ transition could be achievable employing Ramsey's separate oscillatory fields (SOF) technique. Collecting the required statics will become feasible with the upcoming High-Intensity Muon Beam (HiMB) at the Paul Scherrer Institute (PSI) in Switzerland. These advancements will enable precise tests of radiative QED corrections and nuclear self-energy contributions, while also providing tests of new physics and sensitivity to unconstrained coefficients for Lorentz violation within the Standard Model Extension framework.
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Philipp Blumer, Svenja Geissmann, Arnaldo J. Vargas, Gianluca Janka, Ben Ohayon, Paolo Crivelli. 2024-12-27. Muonium fine structure: theory update, tests of Lorentz violation and experimental prospects. https://arxiv.org/abs/2412.19580
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