Almost-Commutative Geometries Beyond the Standard Model II: New Colours

Abstract

We will present an extension of the standard model of particle physics in its almost-commutative formulation. This extension is guided by the minimal approach to almost-commutative geometries employed in [13], although the model presented here is not minimal itself. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model and two new fermions of opposite electro-magnetic charge which may possess a new colour like gauge group. As a new phenomenon, grand unification is no longer required by the spectral action.

Revised version for publication in J.Phys.A with corrected Higgs masses

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Cited by in corpus (14)

• New Scalar Fields in Noncommutative Geometry
• A survey of spectral models of gravity coupled to matter
• Spectral Noncommutative Geometry, Standard Model and all that
• A spectral geometry for the Standard Model without the fermion doubling
• Seesaw and noncommutative geometry
• On a Classification of Irreducible Almost-Commutative Geometries V
• Renormalizability conditions for almost-commutative geometries
• A Dark Sector Extension of the Almost-Commutative Standard Model
• Higgs $p_t$ distribution in Higgs + jet production at hadron colliders within the noncommutative effective standard model
• The Inverse Seesaw Mechanism in Noncommutative Geometry
• Gauge unification in noncommutative geometry
• Krajewski diagrams and the Standard Model
• Type-II two-Higgs-doublet model in noncommutative geometry
• Lifting Bratteli Diagrams between Krajewski Diagrams: Spectral Triples, Spectral Actions, and $AF$ algebras