Einstein-Yang-Mills scattering amplitudes from scattering equations

By F. Cachazo, Song He, E. Y. Yuan. 2014

250 citations recorded by the source corpus.

A bstractWe 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/15d3896f507704a463857f3fc1dceda1071f03c3

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In Nuclear and High Energy Physics

1. Song He
2. Humberto Gomez
3. F. Cachazo
4. E. Y. Yuan
5. N. Arkani-Hamed
6. C. Cheung
7. L. Mason
8. Andrew Strominger

Citations in the corpus

• Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM (2014, methodology): “16) becomes the formula in [20] for single-trace mixed amplitudes.”
• Λ scattering equations (2016, background): “Consider for example the integrands for four particles [2, 3, 11]”