Multichannel one-to-two transition in a finite volume
- Event time: 2:00pm
- Event date: 12th November 2014
- Speaker: Maxwell T. Hansen (University of Mainz)
- Location: Higgs Centre Seminar Room, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Numerical Lattice QCD calculations are necessarily performed in a finite volume, and for any given observable it is important to understand this constraint. Over a decade ago Lellouch and Luescher derived a relation between finite-volume matrix elements and observable decay amplitudes for the weak decay K->pi pi. In this talk we present a generalization of the Lellouch Luescher approach to study one-to-two transition amplitudes. Using a generic relativistic field theory and working to all orders in perturbation theory, we derive a master equation relating finite-volume matrix elements to physical transition amplitudes. Our derivation accommodates external currents which inject momentum, energy and angular momentum into the system.
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..