In this work, we address two paradoxes. The first is that the measured dark-matter relic density can be satisfied with new physics at O(100 GeV–1 TeV) , while the null results from direct-detection experiments place lower bounds of O(10 TeV) on a new-physics scale. The second puzzle is that the severe suppression of lepton-flavor-violating processes involving electrons, e.g. μ→3e , τ→eμμ , etc., implies that generic new-physics contributions to lepton interactions cannot exist below O(10–100 TeV) , whereas the 3.6 σ deviation of the muon g−2 from the standard model can be explained by a new-physics scale