Spectral action and big desert

الأصل · EN

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× 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.