The European Physical Journal C

, Volume 63, Issue 3, pp 383–390 | Cite as

The SUSY-QCD β function to three loops

  • Robert V. Harlander
  • Luminita Mihaila
  • Matthias SteinhauserEmail author
Regular Article - Theoretical Physics


A number of \(\overline {\mbox {\textsc{D}R}}\) 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.


Anomalous Dimension High Energy Phys Feynman Rule Scalar Coupling Gluino Mass 
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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2009

Authors and Affiliations

  • Robert V. Harlander
    • 1
  • Luminita Mihaila
    • 2
  • Matthias Steinhauser
    • 2
    Email author
  1. 1.Fachbereich CBergische Universität WuppertalWuppertalGermany
  2. 2.Institut für Theoretische TeilchenphysikUniversität Karlsruhe, Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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