====== TTP09-13 The SUSY-QCD beta-function to three loops ======
 
 
      <hidden TTP09-13  The SUSY-QCD beta-function to three loops > A number of $\drbar$ 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 \epscalar{}s, 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 $\beta$ functions through three loops, all of
 which we find to be identical to the expression for the gauge $\beta$
 function obtained by Jack, Jones, and North~\cite{Jack:1996vg} (see also
 Ref.\,\cite{Pickering:2001aq}). This explicitely demonstrates the
 consistency of \dred{} with \susy{} and gauge invariance, an important
 pre-requisite for precision calculations in supersymmetric theories.
 </hidden>
|**Robert Harlander, Luminita Mihaila, Matthias Steinhauser**  | 
|**  Eur.Phys.J.  C63 383-390 2009  **  |
| {{preprints:2009:ttp09-13.pdf|PDF}} {{preprints:2009:ttp09-13.ps|PostScript}} [[http://arxiv.org/abs/0905.4807|arXiv]] [[http://ttp.kit.edu/Progdata/ttp09/ttp09-13|Programs and Data]]   |
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