Landau Singularities and Hexagon Functions
- Event time: 2:00pm
- Event date: 18th November 2015
- Speaker: Tristan Dennen (NBI, Copenhagen)
- Location: Higgs Centre Seminar Room, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Landau conditions tell us about the possible branch points of Feynman integrals and have been around for many decades. More recently, the program of obtaining integrated results for scattering amplitudes in N=4 super-Yang-Mills theory has relied on ansatze for an algebraic quantity called the "symbol," which is designed to capture the branch cut structure of transcendental functions. In this talk, I will review the Landau analysis at one loop and use it to begin to understand geometrically the quantities that are seen in the symbol of hexagon integrals and six-particle remainder/ratio functions.
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..