SO(10) unification in noncommutative geometry revisited

Details SO(10) unification in noncommutative geometry revisited SO(10) unification in noncommutative geometry revisited

1998-04-06

arxiv.org/abs/hep-th/9804046v2

Int.J.Mod.Phys. A14 (1999) 559-588

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX 2e. v2: typos corrected and footnote on Super-Kamiokande results added

Scientific paper

10.1142/S0217751X99000282

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 \otimes 16^* and 16^c \otimes 16^* used by Chamseddine and Fr\"ohlich. We find the usual tree-level predictions of noncommutative geometry m_W=(1/2)m_t, \sin^2\theta_W=(3/8) and g_2=g_3 as well as m_H \leq m_t.

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