TTP97-43 Beta functions and anomalous dimensions up to three loops

TTP97-43 Beta functions and anomalous dimensions up to three loops

TTP97-43 Beta functions and anomalous dimensions up to three loops

We derive an algorithm for automatic calculation of perturbative \beta-functions and anomalous dimensions in any local quantum field theory with canonical kinetic terms. The infrared rearrangement is performed by introducing a common mass parameter in all the propagator denominators. We provide a set of explicit formulae for all the necessary scalar integrals up to three loops.

Konstantin Chetyrkin, Mikolaj Misiak and Manfred Muenz
Nucl. Phys. B 518 473-494 1998
PDF PostScript arXiv