# Descrambling Amplitudes and Integration using Cluster Coordinates

#### Descrambling Amplitudes and Integration using Cluster Coordinates

- Event time: 2:00pm
- Event date: 14th March 2018
- Speaker: Dr Andrew McLeod (Niels Bohr Institute, Copenhagen)
- 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

Amplitudes in planar $N=4$ supersymmetric Yang-Mills theory exhibit a surprising amount of cluster-algebraic structure, the physical meaning of which remains largely obscure. After reviewing the various guises in which this structure has been observed, I will add a new set of observations to this collection of curiosities. In particular, I will present new and striking cluster-algebraic decompositions of (the most complicated parts of) two-loop seven- and eight-particle amplitudes in this theory, and will describe how cluster coordinates can even be used to tackle the problem of integration directly---making it possible to integrate some of the Feynman integrals that contribute to these high-point amplitudes.

#### 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..