Abstract
We present the building blocks that can be combined to produce tree-level S-matrix elements of a variety of theories with various spins mixed in arbitrary dimensions. The new formulas for the scattering of n massless particles are given by integrals over the positions of n points on a sphere restricted to satisfy the scattering equations. As applications, we obtain all single-trace amplitudes in Einstein-Yang-Mills (EYM) theory, and generalizations to include scalars. Also in EYM but extended by a B-field and a dilaton, we present all double-trace gluon amplitudes. The building blocks are made of Pfaffians and Parke-Taylor-like factors of subsets of particle labels.
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ArXiv ePrint: 1409.8256
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Cachazo, F., He, S. & Yuan, E.Y. Einstein-Yang-Mills scattering amplitudes from scattering equations. J. High Energ. Phys. 2015, 121 (2015). https://doi.org/10.1007/JHEP01(2015)121
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DOI: https://doi.org/10.1007/JHEP01(2015)121