  In this work we study the $\gamma\gamma\to W^+_L W^-_L$ and $\gamma\gamma\to
Z_L Z_L$ scattering processes within the effective chiral Lagrangian approach,
including a light Higgs-like scalar as a dynamical field together with the
would-be-Goldstone bosons $w^\pm$ and $z$ associated to the electroweak
symmetry breaking. This approach is inspired by the possibility that the
Higgs-like boson be a composite particle behaving as another Goldstone boson,
and assumes the existence of a mass gap between $m_h$, $m_W$, $m_Z$ and the
potential new emergent resonances, setting an intermediate energy region (above
$m_{h,W,Z}$ and below the resonance masses) where the use of these effective
chiral Lagrangians are the most appropriate tools to compute the relevant
observables. We analyse in detail the proper chiral counting rules for the
present case of photon-photon scattering and provide the computation of the
one-loop $\gamma\gamma\to W^+_L W^-_L$ and $\gamma\gamma\to Z_L Z_L$ scattering
amplitudes within this Effective Chiral Lagrangian approach and the Equivalence
Theorem, including a discussion on the involved renormalization procedure. We
also propose here a joint analysis of our results for the two-photon scattering
amplitudes together with other photonic processes and electroweak (EW)
precision observables for a future comparison with data. This could help to
disentangle the nature of the light Higgs-like particle.
