One-loop supergravity amplitudes from MHV diagrams

@article{Nasti2007OneloopSA,
  title={One-loop supergravity amplitudes from MHV diagrams},
  author={Adele Nasti and Gabriele Travaglini},
  journal={Classical and Quantum Gravity},
  year={2007},
  volume={24},
  pages={6071 - 6095}
}
We discuss the calculation of one-loop amplitudes in supergravity using MHV diagrams. In this approach, one-loop amplitudes are expressed as sums of MHV diagrams, which incorporate large numbers of Feynman diagrams. In contrast to MHV amplitudes of gluons in Yang–Mills, tree-level MHV amplitudes of gravitons are not holomorphic in the spinor variables. In order to extend these amplitudes off shell, and use them as vertices to build loops, we introduce certain shifts for the spinor variables… 

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