Fuzzy Mass Relations for the Higgs

Abstract

The non-commutative approach of the standard model produces a relation between the top and the Higgs masses. We show that, for a given top mass, the Higgs mass is constrained to lie in an interval. The length of this interval is of the order of $m_{\tau }^2/m_t$.

26 pages, LaTeX

References in corpus (5)

• Grand Unification in Non-Commutative Geometry
• SO(10) Unification in Non-Commutative Geometry
• A Renormalization Group Analysis of the NCG constraints $m_{top} = 2\,m_W}$, $m_{Higgs}=3.14m_W$
• Models of Electroweak Interactions in Non-Commutative Geometry: A Comparison
• A Left-Right Symmetric Model a la Connes-Lott

Cited by in corpus (8)

• Can (noncommutative) geometry accommodate leptoquarks?
• Spectral noncommutative geometry and quantization: a simple example
• Almost-Commutative Geometries Beyond the Standard Model II: New Colours
• Mirror Fermions in Noncommutative Geometry
• The Einstein-Hilbert-Yang-Mills-Higgs Action and the Dirac-Yukawa Operator
• Euclidean Supergravity in Terms of Dirac Eigenvalues
• Noncommutative geometry, the Lorentzian Standard Model and its B-L extension
• Dirac Type Gauge Theories and the Mass of the Higgs Boson