On the low energy limit of one loop photon-graviton amplitudes
F. Bastianelli, O. Corradini, J. M. Davila, C. Schubert
TL;DR
This paper investigates the low energy behavior of one-loop photon-graviton amplitudes, discovering a KLT-type relation where two photons effectively merge into a graviton, and deriving related Ward identities.
Contribution
It provides the first systematic analysis of the low energy limit of photon-graviton amplitudes and identifies a novel KLT-type relation at the graviton-photon-photon level.
Findings
Found a KLT-type relation for photon merging into a graviton.
Derived the diffeomorphism Ward identity for one graviton - N photon amplitudes.
Analyzed the structure of amplitudes induced by massive scalars and spinors.
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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