Spectral action and big desert

Abstract

The values of the Higgs mass are obtained for two possibilities of extending the standard model in a way compatible with the existence of a noncommutative structure at high energies. We assume the existence of a big desert between the low energy electroweak scale and the high energy scale $\Lambda =1.1\times 10^{17}$ GeV, where noncommutative features become relevant. We conclude that it is extremely difficult to depart from the Higgs mass value $m_H=175.1_{-9.8}^{+5.8}$ GeV obtained from noncommutative geometry for the standard model with three generations only.

11 pages, 1 figure, 3 tables

References in corpus (3)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• On a Classification of Irreducible Almost-Commutative Geometries IV
• Krajewski diagrams and spin lifts

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• Seesaw and noncommutative geometry
• The geometry of physical observables
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• Dirac Type Gauge Theories and the Mass of the Higgs Boson
• Internal Space for the Noncommutative Geometry Standard Model and Strings
• Algebraic backgrounds: a framework for noncommutative Kaluza-Klein theory
• Gauge unification in noncommutative geometry
• Spectral action in noncommutative geometry: An example