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