English

Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations

High Energy Physics - Theory 2015-06-23 v2

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 nn massless particles are given by integrals over the positions of nn 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.

Keywords

Cite

@article{arxiv.1409.8256,
  title  = {Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations},
  author = {Freddy Cachazo and Song He and Ellis Ye Yuan},
  journal= {arXiv preprint arXiv:1409.8256},
  year   = {2015}
}

Comments

18 pages. References and a new section on double-trace gluon amplitudes added in v2

R2 v1 2026-06-22T06:08:40.475Z