Spectral action and big desert
Abstract
The values of the Higgs mass are obtained for two possibilities of extending the standard model in a way compatible with the existence of a noncommutative structure at high energies. We assume the existence of a big desert between the low energy electroweak scale and the high energy scale = 1.1× 1017 GeV, where noncommutative features become relevant. We conclude that it is extremely difficult to depart from the Higgs mass value mH= 175.1+5.8-9.8 GeV obtained from noncommutative geometry for the standard model with three generations only.
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