Spectral action and big desert
arXiv:hep-ph/0605166 · doi:10.1016/j.physletb.2006.06.052
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 $Î= 1.1\times 10^{17}$ GeV, where noncommutative features become relevant. We conclude that it is extremely difficult to depart from the Higgs mass value $ m_H= 175.1^{+5.8}_{-9.8}$ GeV obtained from noncommutative geometry for the standard model with three generations only.
11 pages, 1 figure, 3 tables