Speaker
Mikhail Kompaniets
(St. Petersburg State University (RU))
Description
Using R* operation, IBP and integration of hyperlogarithms we
calculate the 6-loop beta function of the $\phi^4$ model.
One of the remarkable features of this result is that the 6 loop term
contains multiple zeta values. We discuss different aspects of this
calculation as well as series resummation and predictions for the 6
loop term based on the 1979 paper by Kazakov, Shirkov and Tarasov.
Author
Mikhail Kompaniets
(St. Petersburg State University (RU))
Co-author
Erik Panzer
(Institute des Hautes Etudes Scientifiques)
