Status of the Z3 -NMSSM featuring a light bino-dominated LSP and a light singletlike scalar under the LZ experiment

In the presence of a light singletlike scalar, the bino-dominated dark matter (DM) candidate in the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="double-struck">Z</a:mi><a:mn>3</a:mn></a:msub></a:math>-symmetric next-to-minimal supersymmetric standard model (<d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msub><d:mi mathvariant="double-struck">Z</d:mi><d:mn>3</d:mn></d:msub></d:math>-NMSSM) exhibits notable deviations from its counterpart in the minimal supersymmetric standard model, both in terms of its inherent properties and the mechanisms determining its relic abundance and detection prospects. Motivated by recent progress in experimental particle physics, this study systematically investigates the implications for the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi mathvariant="double-struck">Z</g:mi><g:mn>3</g:mn></g:msub></g:math>-NMSSM framework featuring a light bino-dominated DM particle and a light singletlike scalar, ensuring theoretical consistency with empirical observations. Of particular significance are the latest results from the LUX-ZEPLIN (LZ) direct detection experiment, supersymmetry searches at the Large Hadron Collider (LHC), and precision measurements of the Muon g-2 anomaly at Fermilab, which collectively impose complementary constraints on the model’s viable parameter space. A comprehensive parameter scan was conducted using the MultiNest algorithm, incorporating constraints from LZ-2022 data, LHC Higgs analyses, Muon g-2 measurements, and B-physics observables. The analysis reveals that current experimental limits—particularly those on spin-independent and spin-dependent DM-nucleon scattering cross sections and LHC constraints on electroweakinos—severely restrict the model. Nevertheless, the framework remains capable of naturally accommodating the observed <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi>Z</j:mi></j:math> boson and standard-model-like Higgs boson masses, accounting for the Muon g-2 anomaly, and inducing sizable corrections to the <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"><l:mrow><l:mi>W</l:mi></l:mrow></l:math> boson mass. These results are distinctive to the NMSSM and emerge from the interplay of bino-dominated DM and singlino components, with essential contributions from higgsino.