2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182619We study the sensitivity of testing the anomalous gauge couplings $g_{HVV}$'s of the Higgs boson in the formulation of linearly realized gauge symmetry via the processes $γγ\to ZZ$ and $γγ\to WWWW$ at polarized and unpolarized photon colliders based on $e^+e^-$ linear colliders of c.m.~energies 500 GeV, 1 TeV, and 3 TeV. Signals beyond the standard model (SM) and SM backgrounds are carefully studied. We propose certain kinematic cuts to suppress the standard model backgrounds. For an integrated luminosity of 1 ab$^{-1}$, we show that (a) $γγ\to ZZ$ can provide a test of $g_{Hγγ}$ to the $3σ$ sensitivity of $O(10^{-3}-10^{-2})$ TeV$^{-1}$ at a 500 GeV ILC, and $O(10^{-3})$ TeV$^{-1}$ at a 1 TeV ILC and a 3 TeV CLIC, and (b) $γγ\to WWWW$ at a 3 TeV CLIC can test all the anomalous couplings $g_{HVV}$'s to the $3σ$ sensitivity of $O(10^{-3}-10^{-2})$ TeV$^{-1}$.30 pages, 17 figuresHigh Energy Physics - Phenomenologytext