  In recent times, several experiments have observed results that are in
significant conflict with the predictions of the Standard Model (SM). Two
neutrino experiments, LSND and MiniBooNE (MB) have reported electron-like
signal excesses above backgrounds. Both the Brookhaven and the Fermilab muon
$g-2$ collaborations have measured values of this parameter which, while
consistent with each other, are in conflict with the SM. Recently, the CDF II
collaboration has reported a precision measurement of the $W$-boson mass that
is in strong conflict with the SM prediction. It is worthwhile to seek new
physics which may underly all four anomalies. In such a quest, the neutrino
experiments could play a crucial role, because once a common solution to these
anomalies is sought, LSND and MB, due to their highly restrictive requirements
and observed final states, help to greatly narrow the multiplicity of new
physics 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 the
muon $g-2$ results can be understood in the context of a scalar extension of
the SM which incorporates a second Higgs doublet and a dark sector singlet. We
show that the same model leads to a contribution to the $W$ mass which is
consistent with the recent CDF II measurement. While the LSND, MB fits and the
muon $g-2$ results help determine the masses of the light scalars in the model,
the calculation of the oblique parameters $S$ and $T$ determines the allowed
mass ranges of the heavier pseudoscalar and the charged Higgs bosons as well as
the effective Weinberg angle and its new range.
