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Searches for strong dynamics signals in gauge boson pair production

I briefly review the construction of the effective field theory of a nonlinearly realized electroweak symmetry breaking and apply it to the study of gauge boson pair production. I will consider WW, ZZ and γZ production at linear colliders as reference illustrative examples. I will show that in all cases a consistent effective field theory treatment allows to encode the dominant new physics effects entirely as gauge-fermion vertex corrections. From naive dimensional analysis one expects these corrections to be at the per mille level. However, they grow with energy, such that at TeV colliders (LHC and futures linear collider facilities) these new physics effects can easily amount to 20% corrections to the production cross sections.