Abstract
Padé 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|M] approximants with N + M⩽4, M≠0constructed from this series exhibits a positive pole which precedes anypositive zeros of the approximant, consistent with the sameinfrared-attractor pole behaviour known to characterize the exact NSVZβ-function. A similar Padé-approximant analysis of truncations ofthe NSVZ series is shown to reproduceconsistently the geometric-seriespole of the exact NSVZ β-function.
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