Einstein-Yang-Mills scattering amplitudes from scattering equations

DOI10.1007/JHEP01(2015)121zbMATH Open1388.81917arXiv1409.8256OpenAlexW3103729859MaRDI QIDQ1754816

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Publication date: 31 May 2018

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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.

Full work available at URL: https://arxiv.org/abs/1409.8256

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