One-loop Amplitudes for N=2 Homogeneous Supergravities

Understand

We compute one-loop matter amplitudes in homogeneous Maxwell-Einstein supergravities with N=2 supersymmetry using the double-copy construction.

• We start from amplitudes of N=2 super-Yang-Mills theory with matter that obey manifestly the duality between color and kinematics.
• Taking advantage of the fact that amplitudes with external hypermultiplets have kinematical numerators which do not present any explicit dependence on the loop momentum, we find a relation between the one-loop divergence of the supergravity amplitudes and the beta function of the non-supersymmetric gauge theory entering the construction.
• Two distinct linearized counterterms are generated at one loop.