SO(10) unification in noncommutative geometry revisited
Abstract
We investigate the SO(10)-unification model in a Lie algebraic formulation of noncommutative geometry. The SO(10)-symmetry is broken by a 45-Higgs and the Majorana mass term for the right neutrinos (126-Higgs) to the standard model structure group. We study the case that the fermion masses are as general as possible, which leads to two 10-multiplets, four 120-multiplets and two additional 126-multiplets of Higgs fields. This Higgs structure differs considerably from the two Higgs multiplets 16 16* and 16c 16* used by Chamseddine and Fr\"ohlich. We find the usual tree-level predictions of noncommutative geometry mW=(1/2)mt, 2θW=(3/8) and g2=g3 as well as mH ≤ mt.
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