Nonholomorphic Higgsino Mass Term Effects on Muon g-2 and Dark Matter Relic Density in Flavor Symmetry-Based Minimal Supersymmetric Standard Model

We investigate the phenomenological effects of the nonholomorphic (NH) higgsino mass term, mu ', within the minimal supersymmetric standard model (MSSM) extended by a non-abelian flavor symmetry, referred to as the sNHSSM. This flavor symmetry enables a substantial reduction in the number of free parameters inherent to the MSSM, streamlining them from a large set to just eight. Our study explores the interplay between cold dark matter (CDM) relic density (Omega CDMh2) and the anomalous magnetic moment of the muon, (g-2)mu. We study correlations among the theoretical parameters that emerge from this interplay and are further constrained by experimental data such as the Higgs boson mass, B-physics observables, and the charge and color breaking minima constraints. Moreover, our findings reveal that incorporating the NH higgsino mass term opens up new regions of parameter space that were previously inaccessible.