To address the longstanding tension between the Constrained Minimal Supersymmetric Standard Model (CMSSM) and recent experimental data, we investigate non-universal gaugino masses within an SU(5) Grand Unified Theory (GUT) framework, focusing on the \( \overset{\sim }{g} \) -SUGRA scenario where |M3| ≫ |M1|, |M2|. This hierarchy enables a heavier gluino, thereby evading current experimental bounds on supersymmetric particles. Our analysis reveals that precise Higgs measurements place stringent constraints on the model, requiring tan β ≳ 5 and M0 ≳ 20 tan β GeV. Although the \( \overset{\sim }{g} \) -SUGRA scenario can help reconcile the persistent (g − 2)μ anomaly, the Higgs constraints significantly restrict its parameter space, making a large contribution to (g − 2)μ challenging. We also assess the discovery prospects in upcoming dark matter direct detection experiments, including PandaX-xT (200 t.y.), LZ (projected), and XENONnT (20 t.y.), which may not fully cover the viable parameter space. In contrast, future collider experiments — such as the High-Luminosity LHC at 3 ab−1 and CLIC1500 at 2.5 ab−1 — can comprehensively probe the remaining regions. These findings highlight \( \overset{\sim }{g} \) -SUGRA as a promising solution to the CMSSM tension and offer clear, testable predictions for upcoming collider searches.
