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In these proceedings we discuss our recent work on $\gamma\gamma\to W^+_LW^-_L$ and $\gamma\gamma\to Z_L Z_L$ within the framework of Electroweak ChiralLagrangians with a light Higgs. These observables are good candidates toprovide indications of physics beyond the Standard Model and can complementother analyses and global fits. Making use of the equivalence theorem, we haveperformed the computation up to the next-to-leading order in the chiralexpansion, i.e., including one-loop corrections and the full set of possiblecounterterms allowed at that order in the low-energy effective field theory.The one-loop amplitudes turn out to have a extremely simple structure and theyare ultraviolet finite. Thus, the relevant combinations of higher order chiralcouplings $c_\gamma^r$ and $(a_1^r-a_2^r+a_3^r)$ do not run. We also identifyan additional set of observables that depend on these same parameters, whichcan be use to complement the $\gamma\gamma$ analysis through a global fit.

Electroweak Chiral Lagrangians and $\gamma\gamma\to Z_L Z_L,\, W_L^+ W_L^-$ at One Loop