Münster 2017 – wissenschaftliches Programm
T 17.1: Vortrag
Montag, 27. März 2017, 16:45–17:00, VSH 11
Diagrammatic coaction of one-loop Feynman integrals — •Samuel Abreu1, Ruth Britto2, Claude Duhr3, and Einan Gardi4 — 1Albert-Ludwigs-Universität, Freiburg, Germany — 2Trinity College Dublin, Dublin, Ireland — 3CERN, Geneva, Switzerland & Université Catholique de Louvain, Louvain-La-Neuve, Belgium — 4Edinburgh University, Edinburgh, United Kingdom
We conjecture a completely diagrammatic representation of the so-called coaction of Feynman integrals, an operator that, amongst other things, encodes information about their discontinuities and differential equations. As a consequence, we obtain a very simple differential equation satisfied by one-loop integrals with a completely general configuration of internal and external masses, valid to all orders in dimensional regularisation. Equivalently, we show how to iteratively construct the symbol of arbitrary one-loop integrals.