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The longstanding muon $(g-2)$ anomaly, as well as the persistent hints oflepton flavor universality violation in $B$-meson decays, could be signalingnew physics beyond the Standard Model (SM). A minimal $R$-parity-violatingsupersymmetric framework with light third-generation sfermions (dubbed as'RPV3') provides a compelling solution to these flavor anomalies, whilesimultaneously addressing other pressing issues of the SM. We propose a newRPV3 scenario for the solution of the muon $(g-2)$ anomaly, which leads to aninteresting LHC signal of $\mu^+\mu^-\tau^+\tau^-$ final state. We analyze theRun-2 LHC multilepton data to derive stringent constraints on the sneutrinomass and the relevant RPV coupling in this scenario. We then propose dedicatedselection strategies to improve the bound even with the existing dataset. Wealso show that the high-luminosity LHC will completely cover the remaining muon$(g-2)$-preferred parameter space, thus providing a robust, independent test ofthe muon $(g-2)$ anomaly.

Probing the muon (g-2) anomaly at the LHC in final states with two muons and two taus