Physical problems for future Photon Colliders

In this report I discuss physical problems for future Photon Colliders (PLC), which can be stated AFTER 10 years of work of LHC and few years of work of e^+e^- ILC. I discuss mainly the unfavorable case when these colliders will give us only Higgs boson(s) and perhaps some charged particles of unclear nature. I focus my attention for the case of PLC based on the second stage of ILC (about 1 TeV) or CLIC (1-3 TeV). It offers opportunity to study new series of fundamental physical problems. Among them - multiple production of gauge bosons, hunt for strong interaction in Higgs sector, search of exotic interactions in the process $γγ\toγγ$ with final photons having transverse momenta (0.5 - 0.7)E_e.

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