A master formula and replacement rule compute tree-level amplitudes for a scalar coupled to N photons and one graviton, with gauge and diffeomorphism Ward identities checked for all N.
On the low energy limit of one loop photon-graviton amplitudes
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abstract
We present first results of a systematic study of the structure of the low energy limit of the one-loop photon-graviton amplitudes induced by massive scalars and spinors. Our main objective is the search of KLT-type relations where effectively two photons merge into a graviton. We find such a relation at the graviton-photon-photon level. We also derive the diffeomorphism Ward identity for the 1PI one graviton - N photon amplitudes.
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Compton-like scattering of a scalar particle with N photons and one graviton
A master formula and replacement rule compute tree-level amplitudes for a scalar coupled to N photons and one graviton, with gauge and diffeomorphism Ward identities checked for all N.