Integration rules for scattering equations

Christian Baadsgaard, N. E.J. Bjerrum-Bohr, Jacob L. Bourjaily, Poul H. Damgaard

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Abstract

Abstract: As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called scattering equations. Because the number of solutions to the scattering equations grows quite rapidly, the contour of integration involves contributions from many isolated components. In this paper, we provide a simple, combinatorial rule that immediately provides the result of integration against the scattering equation constraints fo any Möbius-invariant integrand involving only simple poles. These rules have a simple diagrammatic interpretation that makes the evaluation of any such integrand immediate. Finally, we explain how these rules are related to the computation of amplitudes in the field theory limit of string theory.

Original languageEnglish (US)
Article number129
JournalJournal of High Energy Physics
Volume2015
Issue number9
DOIs
StatePublished - Sep 29 2015

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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    Baadsgaard, C., Bjerrum-Bohr, N. E. J., Bourjaily, J. L., & Damgaard, P. H. (2015). Integration rules for scattering equations. Journal of High Energy Physics, 2015(9), [129]. https://doi.org/10.1007/JHEP09(2015)129