Explaining muon $${g}-2$$ data in the $$\mu \nu $$SSM

Abstract We analyze the anomalous magnetic moment of muon $$g-2$$ g - 2 in $$\mu \nu $$ μ ν SSM. This R -parity violating model solves problem reproducing simultaneously neutrino data, only with addition right-handed neutrinos. In framework SSM, light left muon-sneutrino and wino masses can be naturally obtained driven by physics. produces an increase dominant chargino-sneutrino loop contribution to , solving gap between theoretical computation experimental data. To parameter space, we sample SSM using a likelihood data-driven method, paying special attention reproduce current data on Higgs physics, as well flavor observables such B decays. then apply constraints from LHC searches for events multi-leptons + MET viable regions found. They probe these through chargino–chargino, chargino–neutralino neutralino–neutralino pair production. conclude that significant space \mathrm{SSM}$$ SSM explain