2021/08/11 by Ema, Yohei, Gao, Ting, Pospelov, Maxim
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2108.05398
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 ∝\bf B\bf E3, and in the vicinity of a large nucleus the corresponding parameter of expansion can be significant, eE\rm nucl/mμ2 ∼ 0.04. We compute the dμ-induced Schiff moment of the 199Hg nucleus, and the linear combination of de and semileptonic CS operator (dominant in this case) that determine the CP-odd effects in ThO molecule. The results, dμ(199\rm Hg) < 6× 10-20ecm and dμ(\rm ThO) < 2× 10-20ecm, constitute approximately three- and nine-fold improvements over the limits on dμ extracted from the BNL muon beam experiment.