Münster 2017 – scientific programme

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T: Fachverband Teilchenphysik

T 17: Quantenfeldtheorie (perturbativ)

T 17.1: Talk

Monday, March 27, 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.