Within the extended framework of the two-Higgs-doublet model type II (2HDM-II), enhanced by a vectorlike quark (VLQ) doublet TB, we present a comprehensive analysis of the process e−γ→bνeT¯ at future high-energy eγ colliders, focusing on the decays T¯→H−b¯ and H−→t¯b. Using current theoretical and experimental constraints, we calculate production cross sections for both unpolarized and polarized beams at center-of-mass energies of s=2 and 3 TeV, demonstrating that polarized beams significantly enhance detection prospects by increasing production rates. By analyzing kinematic distributions, we establish optimized selection criteria to effectively separate signal events from background. At s=2 TeV with an integrated luminosity of 1500 fb−1, we find exclusion regions within sRd∈[0.085,0.16] for mT∈[1000,1260] GeV and a discovery potential within sRd∈[0.14,0.17] for mT∈[1000,1100] GeV, with these regions expanding to sRd∈[0.05,0.15] for mT∈[1000,1340] GeV and sRd∈[0.11,0.17] for mT∈[1000,1160] GeV at 3000 fb−1. At s=3 TeV and 1500 fb−1, we identify exclusion regions of sRd∈[0.055,0.135] for mT∈[1000,1640] GeV and discovery regions of sRd∈[0.09,0.15] for mT∈[1000,1400] GeV, which further expand to sRd∈[0.028,0.12] for mT∈[1000,1970] GeV and sRd∈[0.04,0.122] for mT∈[1000,1760] GeV at 3000 fb−1. Our findings emphasize the increased detection potential at higher center-of-mass energies, particularly at 3 TeV compared to 2 TeV, with notable improvements when polarized beams are utilized. We also account for the effects of initial state radiation, beamstrahlung, and systematic uncertainties, which influence both exclusion and discovery prospects. Published by the American Physical Society 2025
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