Tree-level graviton exchange yields Newtonian potentials plus spin-dependent corrections at O(G) for massive spin-2 scattering off scalars, vectors, and fermions, plus the leading spin-independent O(G^2) term for spin-2 plus scalar.
Olyaei, and A
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abstract
Using the quantum theory of linearized gravity, gravitational interaction differential cross sections of one fermion by another fermion, a photon and a scalar particle are calculated in the fermion rest-frame. Then, according to the obtained results, it is shown that in the lab frame, the gravitational interaction depends on the spin of the moving particle and is independent of the spin of the rest particle. After that, on the dependency of the gravitational interaction of fermion-photon upon the various states of photons polarization is discussed.
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The ξ R φ² non-minimal coupling produces a leading r^{-4} long-range gravitational potential from one-loop 2-2 scattering amplitudes in perturbative quantum gravity with vanishing cosmological constant, with explicit spin dependence for other fields.
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Scattering of massive spin-2 field via graviton exchanges with different spin fields and the long range gravitational potential
Tree-level graviton exchange yields Newtonian potentials plus spin-dependent corrections at O(G) for massive spin-2 scattering off scalars, vectors, and fermions, plus the leading spin-independent O(G^2) term for spin-2 plus scalar.
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$\xi R\phi^2$ non-minimal coupling, and the long range gravitational potential for different spin fields from 2-2 scattering amplitudes
The ξ R φ² non-minimal coupling produces a leading r^{-4} long-range gravitational potential from one-loop 2-2 scattering amplitudes in perturbative quantum gravity with vanishing cosmological constant, with explicit spin dependence for other fields.