A U(1)B-L-extension of the standard model from noncommutative geometry

We derive a U(1)(B-L)-extension of the standard model from a generalized Connes-Lott model with algebra C circle plus C circle plus H circle plus M3(C). This generalization includes the Lorentzian signature, the presence of a real structure, and the weakening of the order 1 condition. In addition to the SM fields, it contains a Z(B-L)' boson and a complex scalar field sigma that spontaneously breaks the new symmetry. This model is the smallest one that contains the SM fields and is compatible with both the Connes-Lott theory and the algebraic background framework.

Automated summary

We derived a U(1)(B-L)-extension of the standard model from a generalized Connes-Lott model, which includes Lorentzian signature, a real structure, and a weakened order 1 condition. In addition to the SM fields, it also contains additional fields and a boson, as well as a complex scalar field sigma that breaks the new symmetry spontaneously. This model is the smallest one that contains the SM fields and is compatible with both the Connes-Lott theory and the algebraic background framework.