Learn · CERN

Talk33 min

On Hyperelliptic Feynman Integrals, or: What Genus Is It Anyway?

Sebastian Poegel · CERN

Watch At CERN

About

Multi-loop Feynman integrals are crucial in meeting the requirements for high-precision predictions of both collider and gravitational-wave experiments. Such integrals are associated to geometries, providing information about the function classes appearing in their evaluation. In this talk I will discuss integrals associated to hyperelliptic curves, a natural generalization of elliptic curves. I will show the role that the genus of such curves play, and how there can be multiple different curves associated to the same integral..

0:00:00 Slide 1

0:02:41 Slide 2

0:04:41 Slide 3

0:06:39 Slide 4

0:08:08 Slide 5

0:09:45 Slide 6

0:10:52 Slide 7

0:11:53 Slide 8

0:14:28 Slide 9

0:16:25 Slide 10

0:18:42 Slide 11

The talk

  1. On Hyperelliptic Feynman Integrals, or: What Genus Is It Anyway? 2023-12-12 · 33 min · CERN's player

Credits and licence

Institution
CERN
Department
Conferences, Workshops & Schools
Speaker
Sebastian Poegel
Year
2023
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
Who can watch
CERN gives no rating. Invisible Network shows it to Teens profiles and older, judged from what the source says about it. How courses are placed