Learn · CERN

Talk31 min

Special Functions for Five-Point One-Mass Scattering in QCD

Vasily Sotnikov · CERN

Watch At CERN

About

I will present the recent computation of a complete set of the two-loop five-point Feynman integrals with one external mass. Employing the method of canonical differential equations and the properties of Chen's iterated integrals, we construct a basis of special functions that greatly facilitates the calculation of scattering amplitudes, and is amenable for applications in NNLO QCD phenomenology. The abundance of dlog forms with algebraic arguments makes finding solutions through generalized multiple polylogarithms extremely challenging. To sidestep this issue, we devise a new method in which an analytic function basis can be established when no such solutions are known or exist..

0:00:00 Slide 1

0:02:25 Slide 2

0:03:52 Slide 3

0:05:17 Slide 4

0:06:47 Slide 5

0:09:01 Slide 6

0:10:05 Slide 7

0:11:34 Slide 8

0:12:42 Slide 9

0:14:35 Slide 10

0:17:31 Slide 11

The talk

  1. Special Functions for Five-Point One-Mass Scattering in QCD 2023-12-15 · 31 min · CERN's player

Credits and licence

Institution
CERN
Department
Conferences, Workshops & Schools
Speaker
Vasily Sotnikov
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