We present a direct computation of the full color two-loop five-point all-plus Yang-Mills amplitude using four dimensional unitarity and recursion. We present the SU (N c ) amplitudes in compact analytic forms. Our results match the explicit expressions previously computed but do not require full two-loop integral methods.

We present an explicit expression for a particular n-gluon two loop scattering partial amplitude. Specifically we present an analytic form for the single trace N c independent colour partial amplitude for the case where all external gluons have positive helicity.

We present the full color two-loop six-point all-plus Yang-Mills amplitude in compact analytic form. The computation uses four dimensional unitarity and augmented recursion.