The Standard Model within Non-associative Geometry

Abstract

We present the construction of the standard model within the framework of non--associative geometry. For the simplest scalar product we get the tree--level predictions $m_W=\frac{1}{2}{m}_t,$ $m_H=\frac{3}{2}{m}_t$ and ${\sin }^2{\theta }_W=\frac{3}{8}.$ These relations differ slightly from predictions derived in non--commutative geometry.

9 pages. LaTeX 2e, styles: amsart, a4, array, eqnarray, bbm, mathrsfs, cite

References in corpus (3)

• The Standard Model as a noncommutative geometry: the low energy regime
• Fuzzy Mass Relations in the Standard Model
• The Mathematical Footing of Non-associative Geometry

Cited by in corpus (11)

• Grand Symmetry, Spectral Action, and the Higgs mass
• Non-Commutative Geometry, Non-Associative Geometry and the Standard Model of Particle Physics
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• A Dark Sector Extension of the Almost-Commutative Standard Model
• Grand Unification in Non-Associative Geometry
• Gauge theories with graded differential Lie algebras
• A Tour through Non-Associative Geometry
• The Mathematical Footing of Non-associative Geometry
• The Higgs Sector on a Two-Sheeted Space Time
• Gyros as geometry of the standard model
• Nonassociatuve generalization of supersymmetry