Towards an independent determination of muon g-2 from muonium
spectroscopy
- URL: http://arxiv.org/abs/2106.11998v3
- Date: Mon, 17 Jan 2022 08:55:47 GMT
- Title: Towards an independent determination of muon g-2 from muonium
spectroscopy
- Authors: C\'edric Delaunay, Ben Ohayon, Yotam Soreq
- Abstract summary: We show that muonium spectroscopy can reach a precision high enough to determine the anomalous magnetic moment of the muon below one part per million (ppm)
This determination of muon g-2 would shed light on the 2ppm difference currently observed between spin-precession measurements and (R-ratio based) Standard Model predictions.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We show that muonium spectroscopy in the coming years can reach a precision
high enough to determine the anomalous magnetic moment of the muon below one
part per million (ppm). Such an independent determination of muon g-2, which is
not limited by hadronic uncertainties, would certainly shed light on the 2ppm
difference currently observed between spin-precession measurements and (R-ratio
based) Standard Model predictions. The magnetic dipole interaction between
electrons and (anti)muons bound in muonium gives rise to a hyperfine splitting
(HFS) of the ground state which is sensitive to the muon anomalous magnetic
moment. A direct comparison of the muonium frequency measurements of the HFS at
J-PARC and the 1S-2S transition at PSI with theory predictions will allow to
extract muon g-2 with high precision. Improving the accuracy of QED
calculations of these transitions by about one order of magnitude is also
required. Moreover, the good agreement between theory and experiment for the
electron g-2 indicates that new physics interactions are unlikely to affect
muonium spectroscopy down to the envisaged precision.
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