Four-loop HQET propagators calculation with applications to the small angle expansion of the cusp anomalous dimension

Seminars

Seminar “Quantum Field Theory”

Date and Time: Wednesday, 30 November 2022, at 11:00 AM

Venue: the Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics; online conference on Zoom

Seminar topic: “Four-loop HQET propagators calculation with applications to the small angle expansion of the cusp anomalous dimension”

Speaker: Andrey Pikelner

Abstract:

In my talk, I will report on the recent 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 will provide details on the calculation of four-loop integrals containing eikonal propagators with the method of difference equations in the space-time dimension. A complete set of four-loop integrals is calculated with a new technique of fixing periodic functions in the solution of the difference equations in the space-time dimension variable. High-precision numerical results allow reconstruction of the analytical answer in three and four dimensions if one knows the required basis of transcendental constants, which I also plan to discuss in my talk.