Description
The double copy is a powerful tool connecting gauge theoretic and gravitational scattering amplitudes. It was originally derived from string theory, relating the tree level amplitudes of closed string amplitudes to two copies of open string amplitudes. In the field theory limit, this reduces to being able to obtain tree-level graviton amplitudes from the "square" of tree-level gluon amplitudes. At the same time, these field theory amplitudes have miraculously simple expression as map moduli space integrals in twistor space for any number of external legs and helicity configuration of gluons and gravitons. However, the double copy relation between these formulae has historically been extremely non-obvious. In this talk, we will use basic concepts from graph theory to demonstrate the derivation of a double copy based in twistor space, including a helicity graded KLT kernel integrand.