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Abstract
We present a new formula for the coaction of a large class of integrals. When applied to oneloop (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 language  English 

Number of pages  10 
Publication status  Published  15 Mar 2018 
Event  13th International Symposium on Radiative Corrections : (Applications of Quantum Field Theory to Phenomenology  Universitat Wien, St Gilgen, Austria Duration: 25 Sep 2017 → 29 Sep 2017 
Conference
Conference  13th International Symposium on Radiative Corrections 

Country/Territory  Austria 
City  St Gilgen 
Period  25/09/17 → 29/09/17 
Keywords
 hepth
 hepph
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Dive into the research topics of 'The diagrammatic coaction and the algebraic structure of cut Feynman integrals'. Together they form a unique fingerprint.Projects
 1 Finished

Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research