The diagrammatic coaction and the algebraic structure of cut Feynman integrals

Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi

Research output: Contribution to conferenceOther

Abstract

We present a new formula for the coaction of a large class of integrals. When applied to one-loop (cut) Feynman integrals, it can be given a diagrammatic representation purely in terms of pinches and cuts of the edges of the graph. The coaction encodes the algebraic structure of these integrals, and offers ways to extract important properties of complicated integrals from simpler functions. In particular, it gives direct access to discontinuities of Feynman integrals and facilitates a straightforward derivation of the differential equations they satisfy, which we illustrate in the case of the pentagon.
Original languageEnglish
Number of pages10
Publication statusPublished - 15 Mar 2018
Event13th International Symposium on Radiative Corrections : (Applications of Quantum Field Theory to Phenomenology - Universitat Wien, St Gilgen, Austria
Duration: 25 Sep 201729 Sep 2017

Conference

Conference13th International Symposium on Radiative Corrections
Country/TerritoryAustria
CitySt Gilgen
Period25/09/1729/09/17

Keywords

  • hep-th
  • hep-ph

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