Only a fine-tuned dark Z model with cancelled electron couplings survives the combined constraints, but its muon g-2 contribution is orders of magnitude too large.
Holdom, Two U(1)’s and Epsilon Charge Shifts, Phys
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Constraints on Dark Photon and Dark $Z$ Model Parameters in the $B$ and $K$ Meson Decays
Only a fine-tuned dark Z model with cancelled electron couplings survives the combined constraints, but its muon g-2 contribution is orders of magnitude too large.