An Evaluation of the Analytic Continuation by Duality Technique

In Ref. 1, Sundrum and Hsu estimated the value of the oblique correction parameter S for walking technicolor theories using a technique called Analytic Continuation by Duality (ACD). We apply the ACD technique to the perturbative vacuum polarization function and find that it fails to reproduce the well known result S = 1/6π. This brings into question the reliability of the ACD technique and the Sundrum and Hsu estimate of S. Talk presented at the 1996 International Workshop on Perspectives of Strong Coupling Gauge Theories (SCGT’96) 13–16 November, 1996, Nagoya, Japan. UCTP–2/96 VPI–IPPAP–97–2 CERN–TH/96–198 hep–ph/9702439 February 1997 a Current address. AN EVALUATION OF THE ANALYTIC CONTINUATION BY DUALITY TECHNIQUE T. TAKEUCHI b TH Division, CERN, CH–1211 Genève 23, Switzerland L. C. GOONETILEKE, S. R. IGNJATOVIĆ, and L. C. R. WIJEWARDHANA Department of Physics, University of Cincinnati, Cincinnati, OH 45221 In Ref. 1, Sundrum and Hsu estimated the value of the oblique correction parameter S for walking technicolor theories using a technique called Analytic Continuation by Duality (ACD). We apply the ACD technique to the perturbative vacuum polarization function and find that it fails to reproduce the well known result S = 1/6π. This brings into question the reliability of the ACD technique and the Sundrum and Hsu estimate of S.