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We consider the Higgs-radion mixing in the context of warped space extradimensional models with custodial symmetry and investigate the prospects ofdetecting the mixed radion. Custodial symmetries allow the Kaluza-Kleinexcitations to be lighter, and protect Zbb to be in agreement with experimentalconstraints. We perform a complementary study of discovery reaches of theHiggs-radion mixed state at the 13 and 14 TeV LHC and at the 500 and 1000 GeVILC. We carry out a comprehensive analysis of the most significant productionand decay modes of the mixed radion in the 80 GeV - 1 TeV mass range, andindicate the parameter space that can be probed at the LHC and the ILC. Thereexists a region of the parameter space which can be probed, at the LHC, throughthe diphoton channel even for a relatively low luminosity of 50 fb^{-1}. Thereach of the 4-lepton final state, in probing the parameter space is alsostudied in the context of 14 TeV LHC, for a luminosity of 1000 fb^{-1}. At theILC, with an integrated luminosity of 500 fb^{-1}, we analyze the Z-radionassociated production and the WW fusion production, followed by the radiondecay into bb and W+W-. The WW fusion production is favored over the Z-radionassociated channel in probing regions of the parameter space beyond the LHCreach. The complementary study at the LHC and the ILC is useful both for thediscovery of the radion and the understanding of its mixing sector.

Probing Higgs-radion mixing in warped models through complementary searches at the LHC and the ILC