Quantum gravity corrections on the anomalous magnetic and quadrupole moments of a spin-1 particle

The divergent parts of the quantum gravity corrections at the one-loop level on the quadrupole moment of a massive spin-1 particle are found to cancel. In fact, for spin-1 particles with arbitrary magnetic moment, the entire quadrupole form factor is finite even when the photon is off its mass shell. The corrections on the magnetic moment are also finite provided the particles have a unit anomalous magnetic moment in lowest order (Yang-Mills).