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In recent times, several experiments have observed results that are insignificant conflict with the predictions of the Standard Model (SM). Twoneutrino experiments, LSND and MiniBooNE (MB) have reported electron-likesignal excesses above backgrounds. Both the Brookhaven and the Fermilab muon$g-2$ collaborations have measured values of this parameter which, whileconsistent with each other, are in conflict with the SM. Recently, the CDF IIcollaboration has reported a precision measurement of the $W$-boson mass thatis in strong conflict with the SM prediction. It is worthwhile to seek newphysics which may underly all four anomalies. In such a quest, the neutrinoexperiments could play a crucial role, because once a common solution to theseanomalies is sought, LSND and MB, due to their highly restrictive requirementsand observed final states, help to greatly narrow the multiplicity of newphysics possibilities that are otherwise open to the $W$ mass and muon $g-2$discrepancies. Pursuant to this, earlier work has shown that LSND, MB and themuon $g-2$ results can be understood in the context of a scalar extension ofthe SM which incorporates a second Higgs doublet and a dark sector singlet. Weshow that the same model leads to a contribution to the $W$ mass which isconsistent with the recent CDF II measurement. While the LSND, MB fits and themuon $g-2$ results help determine the masses of the light scalars in the model,the calculation of the oblique parameters $S$ and $T$ determines the allowedmass ranges of the heavier pseudoscalar and the charged Higgs bosons as well asthe effective Weinberg angle and its new range.

LSND and MiniBooNE as guideposts to understanding the muon $g-2$ results and the CDF II $W$ mass measurement