Flavor Changing Fermion-Graviton Vertices

We study the flavor-changing quark-graviton vertex that is induced at the one-loop level when gravitational interactions are coupled to the Standard Model. Due to the conservation of the energy-momentum tensor the corresponding form factors turn out to be finite and gauge-invariant. Analytical expressions of the form factors are provided at the leading order in the external masses. We show that flavor-changing interactions in gravity are local if the graviton is strictly massless while if the graviton has a small mass long-range interactions inducing a flavor-changing contribution in the Newton potential appear. Flavor-changing processes with massive spin-2 particles are also briefly discussed. These results can be generalized to the case of lepton-graviton coupling.