About
Twist-2 operators play an important role in QCD: they arise from the operator product expansion in deep-inelastic scattering and underlie the definition of collinear parton distribution functions (PDFs). We discuss the calculation of heavy quark contributions to matrix elements of these twist-2 operators at three-loop order in QCD. These matrix elements serve as matching coefficients to connect PDFs with different number of active quark flavours and enter the description of heavy quark contributions to deep-inelastic scattering. Different aspects of the problem are most suitably treated in three different mathematical spaces. They are connected by Mellin transformations and generating functions. We highlight interesting connections between these spaces, in particular how to compute the inverse Mellin transformation using generating functions and analytic continuation. These connections generalise also beyond the context of twist-2 operators in QCD..
0:00:00 Slide 1
0:03:00 Slide 2
0:04:49 Slide 3
0:06:37 Slide 4
0:07:41 Slide 5
0:09:00 Slide 6
0:10:37 Slide 7
0:13:26 Slide 8
0:15:12 Slide 9
0:17:02 Slide 10
0:18:38 Slide 11
The talk
Credits and licence
- Institution
- CERN
- Department
- Conferences, Workshops & Schools
- Speaker
- Arnd Behring
- 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