Lightest Higgs boson production at photon colliders in the two Higgs doublet model type III

The branching ratios of the lightest $CP$-even Higgs boson ${h}^{0}$ are calculated in the framework of the general two higgs doublet model. Different scenarios are presented taking into account constraints on the flavor changing neutral currents factors obtained in previous works. Plausible scenarios where appear flavor changing processes at tree level like $b\overline{s}$ and $t\overline{c}$ are analyzed for relevant parameters. The loop-induced Higgs couplings to photon pairs can be tested with a photon collider. The number of events of ${h}^{0}$ as a resonance in photon colliders are calculated taking into account its corresponding background signal at TESLA, CLIC, and NLC.