Theory challenges for LHC physics

Six loop beta function in φ^4 model

23 Jul 2015, 16:20

30m

Conference Hall (BLTP JINR)

CALC2015 Workshop

Speaker

Mikhail Kompaniets (St. Petersburg State University (RU))

Description

Using R* operation, IBP and integration of hyperlogarithms (HyperInt) we perform 6 loop calculation of beta function in $\phi^4$ model. One of the remarkable features of this result is that 6 loop term contains multiple zeta values. We discuss different aspects of this calculations as well as series resummation and predictions for 6 loop term based on Kazakov/Shirkov/Tarasov (1979) paper

Presentation materials

04_calc15-six-loop.pdf