One Loop Calculation of the $\epsilon_3$ Parameter within the Extended Bess Model

Abstract

The existence of a strongly interacting sector responsible for the electroweak symmetry breaking is assumed. As a consequence vector and axial-vector bound states may be formed. These resonances mix with the Standard Model gauge bosons and are of primary phenomenological importance for the LEP physics. The extended BESS model is an effective scheme based on the symmetry group $SU(8)_L\otimes SU(8)_R$, describing in a consistent way the interactions among the pseudo-Goldstone bosons, vector and axial-vector resonances and the standard gauge bosons. In a previous paper, the contribution from extended BESS to the electroweak oblique corrections was evaluated. However, only an estimate of the effects coming from mass and wave function renormalization of the new resonances, was given. Here we complete the evaluation by computing explicitly these effects. We confirm the previous result, that is, in spite of the great precision of the present LEP measurements, the extended BESS parameter space is not very much constrained.