Chiral-logarithmic corrections to the S and T parameters in Higgsless models

Recently, Higgsless models have proven to be viable alternatives to the standard model (SM) and supersymmetric models in describing the breaking of the electroweak symmetry. Whether extra dimensional in nature or their deconstructed counterparts, the physical spectrum of these models typically consists of towers of massive vector gauge bosons which carry the same quantum numbers as the SM $W$ and $Z$. In this paper, we calculate the one-loop, chiral-logarithmic corrections to the $S$ and $T$ parameters from the lightest (i.e. SM) and the next-to-lightest gauge bosons using a novel application of the pinch technique. We perform our calculation using generic Feynman rules with generic couplings such that our results can be applied to various models. To demonstrate how to use our results, we calculate the leading chiral-logarithmic corrections to the $S$ and $T$ parameters in the deconstructed three-site Higgsless model. As we point out, however, our results are not exclusive to Higgsless models and may, in fact, be used to calculate the one-loop corrections from additional gauge bosons in models with fundamental (or composite) Higgs bosons.