Almost-Commutative Geometries Beyond the Standard Model III: Vector Doublets

Abstract

We will present a new extension of the standard model of particle physics in its almostcommutative formulation. This extension has as its basis the algebra of the standard model with four summands [11], and enlarges only the particle content by an arbitrary number of generations of left-right symmetric doublets which couple vectorially to the U(1)_YxSU(2)_w subgroup of the standard model. As in the model presented in [8], which introduced particles with a new colour, grand unification is no longer required by the spectral action. The new model may also possess a candidate for dark matter in the hundred TeV mass range with neutrino-like cross section.

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Cited by in corpus (12)

• New Scalar Fields in Noncommutative Geometry
• Spectral Noncommutative Geometry, Standard Model and all that
• Seesaw and noncommutative geometry
• Renormalizability conditions for almost-commutative geometries
• On the noncommutative standard model
• Higgs-mass predictions
• A Dark Sector Extension of the Almost-Commutative Standard Model
• The Inverse Seesaw Mechanism in Noncommutative Geometry
• Gauge unification in noncommutative geometry
• The noncommutative standard model, post- and predictions
• Krajewski diagrams and the Standard Model
• Type-II two-Higgs-doublet model in noncommutative geometry