Given current discrepancy in muon g-2 and future dedicated efforts to measure muon electric dipole moment (EDM) dμ, we assess the indirect constraints imposed on dμ by the EDM measurements performed with heavy atoms and molecules. We notice that the dominant muon EDM effect arises via the muon-loop induced "light-by-light"CP-odd amplitude ∝BE3, and in the vicinity of a large nucleus the corresponding parameter of expansion can be significant, eEnucl/mμ2∼0.04. We compute the dμ-induced Schiff moment of the Hg199 nucleus, and the linear combination of de and semileptonic CS operator (dominant in this case) that determine the CP-odd effects in the ThO molecule. The results, dμ(Hg199)<6×10-20 e cm and dμ(ThO)<2×10-20 e cm, constitute approximately threefold and ninefold improvements over the limits on dμ extracted from the Brookhaven National Laboratory muon beam experiment.
Bibliographical noteFunding Information:
This work was partly funded by the Deutsche Forschungsgemeinschaft under Germany’s Excellence Strategy—EXC 2121 “Quantum Universe”—390833306. M. P. is supported in part by U.S. Department of Energy Grant No. desc0011842. The Feynman diagrams in this Letter are drawn with TikZ-Feynman .
© 2022 authors. Published by the American Physical Society.
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