Towards a $Z'$ Gauge Boson in Noncommutative Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, LaTex

Scientific paper

We study all possible $U(1)$-extensions of the standard model (SM) in the
framework of noncommutative geometry (NCG) with the algebra
$\hhh\op\cc\op\cc\op M_3(\cc)$. Comparison to experimental data about the mass
of a hypothetical $Z'$ gauge boson leads to the necessity of introducing at
least one new family of heavy fermions.

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