May 22 – 26, 2023
IJCLab, Orsay (FRANCE)
Europe/Paris timezone

Three-loop mixing matrix for flavor-singlet operators

May 25, 2023, 11:25 AM
Auditorium Joliot Curie (IJCLab, Orsay (FRANCE))

Auditorium Joliot Curie

IJCLab, Orsay (FRANCE)

15, Rue G. Clemenceau 91405 Orsay Cedex FRANCE


Vladimir Braun (University of Regensburg)


Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically.
We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computeralgebra techniques. As an illustration, we present the results for the NNLO anomalous dimension matrix for flavor-singlet QCD operators for spin N ≤ 8.

Primary authors

Dr Alexander Manashov (Regensburg University) Konstantin Chetyrkin (Karlsruhe Institute of Technology) Vladimir Braun (University of Regensburg)

Presentation materials