Revisiting CMSSM with Non-Universal Gaugino Masses under Current Constraints

Abstract

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 $\tilde{g}$-SUGRA scenario where $|M_3|\gg |M_1|,|M_2|$. 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 $\tan \beta \gtrsim 5$ and $M_0\gtrsim 20\tan \beta \text{GeV}$. Although the $\tilde{g}$-SUGRA scenario can help reconcile the persistent $(g-2{)}_{\mu }$ anomaly, the Higgs constraints significantly restrict its parameter space, making a large contribution to $(g-2{)}_{\mu }$ 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 $3{\mathrm{ab}}^{-1}$ and ${\mathrm{CLIC}}_{1500}$ at $2.5{\mathrm{ab}}^{-1}$$-$can comprehensively probe the remaining regions. These findings highlight $\tilde{g}$-SUGRA as a promising solution to the CMSSM tension and offer clear, testable predictions for upcoming collider searches.

27 pages, 7 figures, 2 tables. Accepted by JHEP

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