Can (noncommutative) geometry accommodate leptoquarks?

Abstract

We investigate the geometric interpretation of the Standard Model based on noncommutative geometry. Neglecting the $S_0$-reality symmetry one may introduce leptoquarks into the model. We give a detailed discussion of the consequences (both for the Connes-Lott and the spectral action) and compare the results with physical bounds. Our result is that in either case one contradicts the experimental results.

LaTeX2e, uses amsmath, amsthm, amsfonts

References in corpus (5)

• Observation of Events at Very High Q^2 in ep Collisions at HERA
• Classification of Finite Spectral Triples
• Comments on the high-$Q^2$ HERA anomaly
• Mirror Fermions in Noncommutative Geometry
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• Almost-Commutative Geometries Beyond the Standard Model II: New Colours
• The Standard Model in Noncommutative Geometry and Morita equivalence
• Finite Pseudo-Riemannian Spectral Triples and The Standard Model
• Spectral action and neutrino mass
• Spectral Noncommutative Geometry, Standard Model and all that
• A spectral geometry for the Standard Model without the fermion doubling
• Seesaw and noncommutative geometry
• Non-commutative geometry and the standard model vacuum
• A Dark Sector Extension of the Almost-Commutative Standard Model
• Finite temperature corrections and embedded strings in noncommutative geometry and the standard model with neutrino mixing
• Noncommutative geometry, topology and the standard model vacuum
• The Inverse Seesaw Mechanism in Noncommutative Geometry
• Spectral C*-categories and Fell bundles with path-lifting
• Non-commutative fermion mass matrix and gravity
• Spectral interactions between strings in the Higgs background
• Spectral action and the electroweak $\theta$-terms for the Standard Model without fermion doubling