Abstract
We study all possible U(1)-extensions of the standard model within the framework of noncommutative geometry with the algebra \(\mathbb{H} \oplus \mathbb{C} \oplus \mathbb{C} \oplus M_3 (\mathbb{C}) \). Comparison to experimental data about the mass of a hypothetical \(Z\prime \) gauge boson leads to the necessity of introducing at least one new family of heavy fermions.
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Krajewski, T., Pris, I. Towards a \(Z\prime \) Gauge Boson in Noncommutative Geometry. Letters in Mathematical Physics 39, 187–202 (1997). https://doi.org/10.1023/A:1007360514958
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DOI: https://doi.org/10.1023/A:1007360514958