We set up the study of scattering amplitudes on both gravitational and gauge theory plane wave backgrounds. We do so with a view to exploring the double copy in a semi-nonperturbative framework and to extend the ambi-twistor string formulae to fully curved backgrounds. We give a double copy prescription at three points, and a version of the curved background BCJ relations at four points. We...
I will review the computation of the effective gravitational action in the post-Minkowskian and post-Newtonian approximation by „classically“ integrating out the gravitational field in the path integral. It is then shown how this result for dilaton gravity may be easily obtained through a suitable adaption of the BCJ double copy construction applied to the computation of the effective action...
I will give an overview of what is known about 4 point correlators of half BPS operators in N=4 SYM both at weak and strong coupling. At weak coupling - in the planar limit - the integrands are known explicitly to 10 loops and give combinations of amplitude integrands at any number of points. It is conjectured that all information needed to extract all n-point l-loop amplitudes is contained in...
In this talk, I present recent work on solving integration-by-parts (IBP) systems for simplifying Feynman integrals. I'll give a brief review of IBP, and also review the idea of generating vectors which block-diagonalize IBP systems. I then present recent work on conjugate polynomials, which fully diagonalize such systems. I also present an application to generating recurrence relations for...
We will discuss the treatment of general relativity as an effective field theory and discuss recent progress for computation. We will use results for amplitudes to derive theoretical predictions in general relativity.
