https://doi.org/10.1140/epjc/s10052-009-1109-9
Regular Article - Theoretical Physics
The SUSY-QCD β function to three loops
1
Fachbereich C, Bergische Universität Wuppertal, 42097, Wuppertal, Germany
2
Institut für Theoretische Teilchenphysik, Universität Karlsruhe, Karlsruhe Institute of Technology (KIT), 76128, Karlsruhe, Germany
* e-mail: matthias.steinhauser@uka.de
Received:
1
June
2009
Published online:
6
August
2009
A number of
renormalization constants in softly broken SUSY- QCD are evaluated to three-loop level: the wave function renormalization constants for quarks, squarks, gluons, gluinos, ghosts, and ε-scalars, and the renormalization constants for the quark and gluino mass as well as for all cubic vertices. The latter allow us to derive the corresponding β functions through three loops, all of which we find to be identical to the expression for the gauge β function obtained by Jack et al. (Phys. Lett. B 386:138, 1996, hep-ph/9606323) (see also Pickering et al. in Phys. Lett. B 510, 347, 2001, hep-ph/0104247). This explicitly demonstrates the consistency of DRED with SUSY and gauge invariance, an important pre-requisite for precision calculations in supersymmetric theories.
© Springer-Verlag , 2009
