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 — preprints:2009:ttp09-13 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== 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. + + |**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]]   | + | |