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Presented By: Leinweber Center for Theoretical Physics

HET Brown Bag Seminar | Probing poles at infinity using on-shell diagrams

Taro Brown

Locality and unitary forces scattering amplitudes to factorize when taking the momentum of one of the external particles to zero. This factorization has proven very useful for recursion relations for amplitudes at high multplicities. The recursion can break down, however, when the amplitude contains a pole at infinity. In this talk we are going to make modest step towards a prescription of “unitarity at infinity”. We do this by studying on-shell diagrams, which are on-shell gauge invariant objects that appear as cuts of loop integrands in the context of generalized unitarity and serve as building blocks for amplitudes in recursion relations. In the dual formulation, they are associated with cells of the positive Grassmannian. We will describe on-shell diagrams in N<4 supersymmetric Yang-Mills (SYM) theory and show that there exists a diagrammatic operation that corresponds to sending one of the momenta to infinity.

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