  We investigate whether selfish/Goldilocks Higgs models can be extended to
accomodate vacua with both the right Higgs mass and cosmological constant.
Through the introduction of multiple four-form fields coupled with the Higgs
scalar boson we find that both the cosmological constant and the electroweak
hierarchy problems can be addressed simultaneously, without inserting the
relevant physical scales by hand and avoiding fine tuning. The resulting bounds
on the brane charges, the only dimensionful free parameter of the theory,
depend on the strength of the four-form scalar coupling and can be of the same
order of magnitude as those necessary for a solution to the cosmological
constant problem alone via the Bousso-Polchinski mechanism.
