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.
Scattering Amplitudes in Gauge Theory and Gravity,
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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.