Joint INFN-UNIMI-UNIMIB Pheno Seminars
Small angle expansion of the four-loop cusp anomalous dimension
by
→
Europe/Zurich
Aula Caldirola (Università degli Studi di Milano)
Aula Caldirola
Università degli Studi di Milano
Via Celoria 16, 20133 Milano
Description
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.