Not directly.
If there is a Higgs field, and the present vacuum has a non-zero cosmological constant as the above figure suggests from 1999 data, then the amount of dark matter needed in the universe will be lower than without such a vacuum energy...also called the cosmological constant. The red and blue curves represent the measurements from independent cosmological studies using supernovae and the cosmic microwave background. The overlap 'wedge' shows that the more dark matter you add, the smaller the cosmological constant you need...and vice versa.
So, in this respect, the Higgs field might actually reduce the need for dark matter, rather than account for it. Theoretically, it is not expected that the Higgs field is the same field that causes the cosmological constant today. There may be yet another field embedded in the Void that is causing the cosmological constant, but with many of the same characteristics as the Higgs field...though not as strongly-interacting with matter.
Copyright 1997 Dr. Sten Odenwald
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