# Feynman Polytopes and the Tropical Geometry of UV and IR Divergences

#### Feynman Polytopes and the Tropical Geometry of UV and IR Divergences

- Event time: 2:00pm until 3:00pm
- Event date: 6th April 2022
- Speaker: Mr Aaron Hillman (Princeton)
- Location: Online

### Event details

The textbook understanding of ultraviolet (UV) divergences in quantum field theory is conceptually Euclidean and calculationally divorced from the means by which we compute amplitudes and cross-sections. Additionally, UV and (infrared) IR divergences are presented and handled as different beasts in the standard formalism. In trying to incorporate the study of UV and IR divergences into the on-shell paradigm, studying them in the natural setting as Feynman-parameter/World-line integrals, we are lead to study Tropical functions and Newton polytopes associated with these Feynman integrals. This exposes a unified and simple but rich combinatorial structure for UV and IR divergences in addition to facilitating calculation of these divergences.

#### 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..