Stop Search in SUSY SO(10) GUTs with Nonuniversal Gaugino Masses

We have discussed the stop mass and possible signal processes within a class of SUSY GUTs with non-universal gaugino masses. This class of models predicts the stop mass in a wide range from about 400 GeV to 8 TeV, and the DM constraints bound it as $m_{\tilde{t}_{1}}\gtrsim 500$ GeV. Being the lightest supersymmetric particle the neutralino always takes part in possible signal processes, and its mass is realized as heavy as about 2.3 TeV in the fundamental parameter space. Similarly, the lightest chargino mass can be realized beyond 3 TeV, while the DM constraints bound its mass at about 2.7 TeV from above. We find that the stop mass below about 1.2 TeV is excluded by the analyses over the $\tilde{t}_{1}\rightarrow t\tilde{\chi}_{1}^{0}$ decay mode performed under the current experimental setups. This mode can help probe the stop mass up to about 6 TeV in future collider experiments. Similar analyses yield that the stop mass will be able to be probed to about 4.8 TeV and 5 TeV, if the $\tilde{t}_{1}\rightarrow b W^{\pm}\tilde{\chi}_{1}^{0}$ or $\tilde{t}_{1}\rightarrow b q\bar{q}^{\prime}\tilde{\chi}_{1}^{0}$ decay modes are allowed. We show that the former decay mode is not available for this class of SUSY GUTs in the current experiments, while it will be able to be tested in future.