Stop search in SUSY SO(10) GUTs with nonuniversal Gaugino masses

We explore the stop mass and its possible probe through a set of three different signal processes within a class of SUSY GUTs with non-universal gaugino masses. The stop mass can be realized in a wide range (0.4–8 TeV) consistent with the current experimental constraints. We consider the decay processes; t~1→tχ~10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{t}_{1}\rightarrow t\tilde{\chi }_{1}^{0}$$\end{document}, t~1→bW±χ~10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{t}_{1}\rightarrow b W^{\pm }\tilde{\chi }_{1}^{0}$$\end{document} and t~1→bqq¯′χ~10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tilde{t}_{1}\rightarrow b q{\bar{q}}^{\prime }\tilde{\chi }_{1}^{0}$$\end{document} to be possible signals, and explore the impact of the current experimental results as well as the possible mass scales of stop, which can be probed in the future collider experiments. We find that the first and third signal processes can be tested in the current experiments, and significantly probed in future, while the second signal process is not available for the current experiments in this class of SUSY GUTs. We also comment that the second signal process can be available to be tested when the collider experiments are conducted at high center of mass energies and luminosity.