Why doesn't the Higgs produces a cosmological constant

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If the vacuum contains all these Higgs bosons, at expectation of <246> GeV in vacuum, why isn't there a cosmological constant, given the vacuum an energy density of 246 GeV^4 , instead we see dark energy at a few meV^4. Could just say that the graviton doesn't couple to the Higgs at all, but doesn't that violate the
equivalence principle. Do we need another tachyonic world, which has a tachyo-Higgs at -246 GeV to cancel
out the vacuum energy? Is there any other way to solve this mystery?
 
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It does, but nobody knows why there is a discrepancy between the predicted value of the comsological constant from the standard model of elementary particles and the experimentally observed value.

The discrepancy is much larger than what you indicated in your post, due to the nontrivial quantum field theory vacuum:

http://en.wikipedia.org/wiki/Vacuum_catastrophe
 

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