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In this talk we study the low-energy effective couplings generated by strongly-coupled electroweak models that contain heavy composite resonances. Invariance under SU(2)L × SU(2)R is a key ingredient in the construction of the resonance action. For simplicity, in these proceedings we focus our attention on the impact of a heavy colourless vector V , which transforms as a triplet under the custodial group. More precisely, we study the couplings that are relevant for the vector form-factors of the L+R current into two electroweak Goldstones and into two Standard Model fermions, which contribute to the oblique parameters S and T and the anomalous Z → f f couplings, respectively. Our predictions are compatible with bounds from direct and indirect searches for MV > ∼ 1.5 TeV. Finally, although we consider an antisymmetric tensor formalism to describe the vector resonance, we derive the equivalent action in the Proca four-vector representation and show that the predictions for low-energy couplings and form-factors are identical, as expected.

Composite resonances and their impact on the low-energy EW chiral Lagrangian