Almost-Commutative Geometries Beyond the Standard Model

Abstract

In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories. In this publication a counter example will be given. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge. This is the second Yang-Mills-Higgs model within noncommutative geometry, after the standard model, which could be compatible with experiments. Combined to a hydrogen-like composite particle these new particles provide a novel dark matter candidate.

References in corpus (5)

• On a Classification of Irreducible Almost-Commutative Geometries IV
• On a Classification of Irreducible Almost Commutative Geometries, A Second Helping
• On a Classification of Irreducible Almost Commutative Geometries III
• Krajewski diagrams and spin lifts
• Finding the Standard Model of Particle Physics, A Combinatorial Problem

Cited by in corpus (39)

• Composite dark matter from a model with composite Higgs boson
• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• The Physics Programme Of The MoEDAL Experiment At The LHC
• Strong Interactive Massive Particles from a Strong Coupled Theory
• Dark matter with invisible light from heavy double charged leptons of almost-commutative geometry?
• On a Classification of Irreducible Almost-Commutative Geometries IV
• Search for long-lived, multi-charged particles in pp collisions at sqrt(s)=7 TeV using the ATLAS detector
• Doubly-charged particles at the Large Hadron Collider
• New Scalar Fields in Noncommutative Geometry
• Exploration at the high-energy frontier: ATLAS Run~2 searches investigating the exotic jungle beyond the Standard Model
• Composite dark matter from stable charged constituents
• A survey of spectral models of gravity coupled to matter
• Search for heavy long-lived multi-charged particles in proton-proton collisions at $\sqrt{s}$ = 13 TeV using the ATLAS detector
• Spectral action and big desert
• Almost-Commutative Geometries Beyond the Standard Model III: Vector Doublets
• Almost-Commutative Geometry, massive Neutrinos and the Orientability Axiom in KO-Dimension 6
• Decaying Dark Atom constituents and cosmic positron excess
• Composite Dark Matter and its Charged Constituents
• Spectral Noncommutative Geometry, Standard Model and all that
• ${}^3$He experimentum crucis for Dark Matter puzzles
• A spectral geometry for the Standard Model without the fermion doubling
• On multimatrix models motivated by random noncommutative geometry II: A Yang-Mills-Higgs matrix model
• Search for heavy long-lived multi-charged particles in the full LHC Run 2 $pp$ collision data at $\sqrt{s}$ = 13 TeV using the ATLAS detector
• Renormalizability conditions for almost-commutative geometries
• On a Classification of Irreducible Almost-Commutative Geometries V
• Dark matter from stable charged particles?
• 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
• Low energy binding of composite dark matter with nuclei as a solution for the puzzles of dark matter searches
• Primordial heavy elements in composite dark matter models
• The noncommutative standard model, post- and predictions
• Gauge unification in noncommutative geometry
• Krajewski diagrams and the Standard Model
• Accelerator probes for new stable quarks
• Reconstruction of the standard model with classical conformal invariance in noncommutative geometry
• Spectral action and the electroweak $\theta$-terms for the Standard Model without fermion doubling
• Lifting Bratteli Diagrams between Krajewski Diagrams: Spectral Triples, Spectral Actions, and $AF$ algebras