Infrared consistency of NSVZ and DRED supersymmetric gluodynamics

Pade approximant methods are applied to the known terms of the dimensional reduction (DRED) β-function for N 1 supersymmetric SU(3) Yang-Mills theory. Each of the [N vertical bar M] approximants with N + M≤4, M≠0 constructed from this series exhibits a positive pole which precedes any positive zeros of the approximant, consistent with the same infrared-attractor pole behaviour known to characterize the exact NSVZ β-function. A similar Pade-approximant analysis of truncations of the NSVZ series is shown to reproduce consistently the geometric-series pole of the exact NSVZ β-function. (author)