Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-31
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, LaTeX2e + AMS macros + graphics.sty + eps table; revised version: A Majorana mass for the right neutrinos has been i
Scientific paper
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.
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