Abstract
The MHV or CSW expansion of tree-level Yang-Mills amplitudes provides an elegant and simple way of obtaining analytic formulas for S-matrix elements. Inspired by the BCFW technique, a systematic approach to obtain the MHV expansion was introduced by Risager, using a particular complex deformation. Although it works for Yang-Mills amplitudes, Risager’s technique fails to provide an MHV expansion already for Next-to- MHV gravity amplitudes with more than eleven particles, as shown by Bianchi, Elvang and Freedman in 2008 [15]. This fact implies that in this sector there is a contribution at infinity starting at n = 12. In this note we determine the explicit analytic form of this residue at infinity for n = 12. Together with the terms of the Risager MHV expansion, the residue at infinity completes the first full CSW-like analytic expression of the twelve- graviton NMHV amplitude. Our technique can also be used to compute the residue at infinity for higher points.
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ArXiv ePrint: 1205.3500
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Conde, E., Rajabi, S. The twelve-graviton next-to-MHV amplitude from Risager’s construction. J. High Energ. Phys. 2012, 120 (2012). https://doi.org/10.1007/JHEP09(2012)120
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DOI: https://doi.org/10.1007/JHEP09(2012)120