# From multiple unitarity cuts to the coproduct of Feynman integrals

#### From multiple unitarity cuts to the coproduct of Feynman integrals

- Event time: 2:00pm
- Event date: 12th March 2014
- Speaker: Samuel Abreu (Formerly School of Physics & Astronomy, University of Edinburgh)
- Location: Higgs Centre Seminar Room, Room 4305, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

We explore the relations between unitarity cuts of Feynman integrals computed via diagrammatic cutting rules, the discontinuity across the corresponding branch cuts, and the coproduct of the integrals. For single unitarity cuts, these relations are familiar. We show that they can be generalized to sequences of unitarity cuts in different channels. Using concrete one- and two-loop scalar integral examples we demonstrate that it is possible to reconstruct (the symbol of) a Feynman integral from either single or double unitarity cuts. Our results offer insight into the analytic structure of Feynman integrals as well as a new approach to computing them.

#### Event resources

### About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..