Abstract
We study a model of dark matter in which the hidden sector interacts with standard model particles via a hidden photonic portal. We investigate the effects of this new interaction on the hydrogen atom, including the Stark, Zeeman and hyperfine effects. Using the accuracy of the measurement of energy, we obtain an upper bound for the coupling constant of the model as f ⩽ 10−12. We also calculate the contribution from the hidden photonic portal to the anomalous magnetic moment of the muon as aμ ⩽ 2.2 × 10−23 (for the dark particle mass scale 100 MeV), which provides an important probe of physics beyond the standard model.
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