Relativity, noncommutative geometry, renormalization and particle physics

A. Connes and A. Chamseddine have proposed a new geometric version of the standard model including a noncommutative relativity action. We present a systematic analysis of the relations among masses and coupling constants in these approaches. At the tree level, for a given top mass, the Higgs mass mH is constrained to lie in an interval. Moreover, playing with the noncommutative gauge couplings, we compare the influence of the Higgs mass renormalization in these effective theories. The existing intersection is mH = 188–201 GeV.