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 \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.
Cite
@article{arxiv.hep-th/9804046,
title = {SO(10) unification in noncommutative geometry revisited},
author = {Raimar Wulkenhaar},
journal= {arXiv preprint arXiv:hep-th/9804046},
year = {2009}
}
Comments
25 pages, LaTeX 2e. v2: typos corrected and footnote on Super-Kamiokande results added