Hints of Natural Supersymmetry in Flavor Anomalies

The recent results from the Fermilab muon $g-2$ experiment, as well as the persisting hints of lepton flavor universality violation in $B$-meson decays, present a very strong case for some flavor-nonuniversal beyond the Standard Model physics. We reinforce our previous claim that a minimal $R$-parity violating supersymmetric framework with relatively light third-generation sfermions (dubbed as `RPV3') provides a natural, well-motivated framework for the simultaneous explanation of all flavor anomalies, while being consistent with current low- and high-energy experimental constraints. We further propose complementary tests and distinct signatures of this scenario in the high-$p_T$ searches at current and future colliders. In particular, we emphasize that the dominant resolution to muon $g-2$ in RPV3 comes from a sub-TeV scale sneutrino with a relatively large coupling to muons, which leads to a spectacular four-muon signal at the LHC.