Electron and Muon $g-2$ Contributions from the $T^{\mathrm{\prime }}$ Higgs Sector

We study the experimental constraints from electron and muon $g-2$ factors on the Higgs masses and Yukawa couplings in the $T^{\mathrm{\prime }}$ model, and thereby show that the discrepancy between the standard model prediction and experimental value of muon anomalous $g-2$ factor can be easily accommodated.