English

Muonium fine structure: theory update, tests of Lorentz violation and experimental prospects

High Energy Physics - Phenomenology 2024-12-30 v1 Atomic Physics

Abstract

We review the status of the QED calculations for the muonium 2S1/22P3/22S_{1/2}-2P_{3/2} energy interval and provide the updated theoretical value of 9874.357±0.001MHz9874.357\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 10kHz\sim 10\,\mathrm{kHz} on the isolated 2S1/2,F=12P3/2,F=12S_{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.

Keywords

Cite

@article{arxiv.2412.19580,
  title  = {Muonium fine structure: theory update, tests of Lorentz violation and experimental prospects},
  author = {Philipp Blumer and Svenja Geissmann and Arnaldo J. Vargas and Gianluca Janka and Ben Ohayon and Paolo Crivelli},
  journal= {arXiv preprint arXiv:2412.19580},
  year   = {2024}
}