Abstract
We study asymptotically free gauge theories with supersymmetry, including the purely gluonic theory and theories with copies of a pair of massless chiral superfields in the respective representations and of . The cases in which is the fundamental representation and the symmetric and antisymmetric rank-2 tensor representation are considered. We calculate Padé approximants to the beta functions for these theories in the scheme up to four-loop order for the gluonic theory and up to three-loop order for the theories with matter superfields and compare results for IR zeros and poles with results from the NSVZ beta function. Our calculations provide a quantitative measure, for these theories, of how well finite-order perturbative results calculated in one scheme reproduce properties of a known beta function calculated in a different scheme.
- Received 27 December 2015
- Corrected 10 March 2016
DOI:https://doi.org/10.1103/PhysRevD.93.065013
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Corrections
10 March 2016