Spectral action and big desert

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 Λ=1.1×1017GeV, where noncommutative features become relevant. We conclude that it is extremely difficult to depart from the Higgs mass value mH=175.1−9.8+5.8GeV obtained from noncommutative geometry for the standard model with three generations only.