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 — preprints:2006:ttp06-27 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP06-27 Four-loop $\beta$ function and anomalous mass dimension in Dimensional Reduction ====== + + + <​hidden TTP06-27 ​ Four-loop $\beta$ function and anomalous mass dimension in Dimensional Reduction > Within the framework of QCD we compute renormalization constants for the + ​strong coupling and the quark masses to four-loop order. We apply the + ​DR-bar scheme and put special emphasis on the additional couplings which + have to be taken into account. This concerns the epsilon-scalar--quark + ​Yukawa coupling as well as the vertex containing four epsilon-scalars. + For a supersymmetric Yang Mills theory, we find, in contrast to a + ​previous claim, that the evanescent Yukawa coupling equals the strong + ​coupling constant through three loops as required by supersymmetry. + ​ + |**R. Harlander, D.R.T. Jones, P. Kant, L. Mihaila, M. Steinhauser** ​ | + |**  JHEP  0612 024 2006  **  | + | {{preprints:​2006:​ttp06-27.pdf|PDF}} {{preprints:​2006:​ttp06-27.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0610206|arXiv]] ​  | + | |