The diagrammatic coaction and the algebraic structure of cut Feynman integrals
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.
Keywords
Cite
@article{arxiv.1803.05894,
title = {The diagrammatic coaction and the algebraic structure of cut Feynman integrals},
author = {Samuel Abreu and Ruth Britto and Claude Duhr and Einan Gardi},
journal= {arXiv preprint arXiv:1803.05894},
year = {2018}
}
Comments
10 pages. Talk at RADCOR 2017, the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), 25-29 September, 2017, St. Gilgen, Austria