Small angle expansion of the four-loop cusp anomalous dimension

by Dr Andrey Pikelner (TTP KIT)

Monday 4 Nov 2024, 10:30 → 11:30 Europe/Zurich

Aula Caldirola (Università degli Studi di Milano)

In my talk, I will report on the four-loop calculation of the small
angle expansion of the cusp anomalous dimension in QCD and the
heavy quark field anomalous dimension in HQET. Also, I plan to provide
details on the calculation of required four-loop integrals with eikonal
propagators using the difference equations in the space-time dimension
as a solution method. A complete set of four-loop integrals is calculated
using a new technique of fixing periodic functions required for high-precision
numerical solutions. High-precision numerical
results allow reconstruction of the analytical answer in three and four
dimensions once the required basis of transcendental constants is known.

Link Zoom

pikelner-CUSP-Milano-2024.pdf