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We compute the next-to-leading order (NLO) corrections to the vertices wherea pair of the lightest neutralino couples to CP-even (light or heavy) Higgsscalars. In particular, the lightest neutralino is assumed to be a dominantlyBino-like mixed state, composed of Bino and Higgsino or Bino, Wino, andHiggsino. After computing all the three-point functions in the electroweakMSSM, we detail the contributions from the counterterms that arise inrenormalizing these vertices in one-loop order. The amendment of therenormalized vertices impacts the spin-independent direct detectioncross-sections of the scattering of nucleons with dark matter. We perform acomprehensive numerical scan over the parameter space where all the pointssatisfy the present B-physics constraints and accommodate the muon's anomalousmagnetic moment. Finally, we exemplify a few benchmark points, which indulgethe present searches of supersymmetric particles. After including therenormalized one-loop vertices, the spin-independent DM-nucleon cross-sectionsmay be enhanced up to $20\%$ compared to its tree-level results. Finally, withthe NLO cross-section, we use the recent LUX-ZEPLIN (LZ) results on theneutralino-nucleon scattering to display the relative rise in the lowestallowed band of the Higgsino mass parameter in the $M_1-\mu$ plane of theelectroweak MSSM.

Confronting electroweak MSSM through one-loop renormalized neutralino-Higgs interactions for dark matter direct detection and muon $(g-2)$