The possible effectively extra added vacuum polarization by a dark matter candidate could account for the recently announced anomalous magnetic moment αμ measured discrepancy from the theoretical predicted muon value:
I am interested to know in the above described case, would the coupling of the dark matter particle to the muon spin be pure gravitational and therefore we have the case where a gravitational frame dragging phenomenon induces indirectly an electromagnetic effect changing the muon's magnetic moment?
OR
does the $g-2$ experiment show and imply that this hypothetical dark matter can directly interact (opposite of what is believed about dark matter interacting only gravitational) also electromagnetically with ordinary matter?