Four-graviton one-loop closed superstring amplitudes in the celestial basis factor out the α' dependence, and the field theory limit commutes with the Mellin transform for all values of the cross-ratio.
Infrared behavior of graviton-graviton scattering
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abstract
The quantum effective theory of general relativity, independent of the eventual full theory at high energy, expresses graviton-graviton scattering at one loop order O(E^4) with only one parameter, Newton's constant. Dunbar and Norridge have calculated the one loop amplitude using string based techniques. We complete the calculation by showing that the 1/(d-4) divergence which remains in their result comes from the infrared sector and that the cross section is finite and model independent when the usual bremsstrahlung diagrams are included.
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Celestial closed strings at one-loop
Four-graviton one-loop closed superstring amplitudes in the celestial basis factor out the α' dependence, and the field theory limit commutes with the Mellin transform for all values of the cross-ratio.