# Scattering of massless particles in arbitrary dimensions.

@article{Cachazo2013ScatteringOM, title={Scattering of massless particles in arbitrary dimensions.}, author={Freddy Cachazo and Song He and Ellis Ye Yuan}, journal={Physical review letters}, year={2013}, volume={113 17}, pages={ 171601 } }

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimensions. The new formula for the scattering of n particles is given by an integral over the positions of n points on a sphere restricted to satisfy a dimension-independent set of equations. The integrand is constructed using the reduced Pfaffian of a 2n×2n matrix, Ψ, that depends on momenta and polarization vectors. In its simplest form, the gravity integrand is a…

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