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 $\Lambda =1.1\times 10^{17}$ GeV, where noncommutative features become relevant. We conclude that it is extremely difficult to depart from the Higgs mass value $m_H=175.1_{-9.8}^{+5.8}$ GeV obtained from noncommutative geometry for the standard model with three generations only.

Comments: 11 pages, 1 figure, 3 tables