Grand Unification in Non-Associative Geometry
| dc.creator | Wulkenhaar, Raimar | |
| dc.date | 1996-07-31 | |
| dc.date | 1997-02-10 | |
| dc.date.accessioned | 2026-07-07T09:04:25Z | |
| dc.date.available | 2026-07-07T09:04:25Z | |
| dc.description | We formulate the flipped SU(5) x U(1)-GUT within the framework of non-associative geometry. It suffices to take the matrix Lie algebra su(5) as the input; the u(1)-part with its representation on the fermions is an algebraic consequence. The occurring Higgs multiplets (24,5,45,50-representations of su(5)) are uniquely determined by the fermionic mass matrix and the spontaneous symmetry breaking pattern to SU(3) x U(1). We find the most general gauge invariant Higgs potential that is compatible with the given Higgs vacuum. Our formalism yields tree-level predictions for the masses of all gauge and Higgs bosons. It turns out that the low-energy sector is identical with the standard model. In particular, there exists precisely one light Higgs field, whose upper bound for the mass is 1.45 m_t. All remaining 207 Higgs fields are extremely heavy. | |
| dc.description | 48 pages, LaTeX2e + AMS macros + graphics.sty + eps table; revised version: A Majorana mass for the right neutrinos has been introduced. This leads to an additional 50-plet of Higgs fields, and an unobserved neutral gauge field gets a very large mass | |
| dc.identifier | https://arxiv.org/abs/hep-th/9607237 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9607237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149372 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Grand Unification in Non-Associative Geometry | |
| dc.type | text |