Resilience of the Spectral Standard Model

Abstract

We show that the inconsistency between the spectral Standard Model and the experimental value of the Higgs mass is resolved by the presence of a real scalar field strongly coupled to the Higgs field. This scalar field was already present in the spectral model and we wrongly neglected it in our previous computations. It was shown recently by several authors, independently of the spectral approach, that such a strongly coupled scalar field stabilizes the Standard Model up to unification scale in spite of the low value of the Higgs mass. In this letter we show that the noncommutative neutral singlet modifies substantially the RG analysis, invalidates our previous prediction of Higgs mass in the range 160--180 Gev, and restores the consistency of the noncommutative geometric model with the low Higgs mass.

13 pages, more contours added to Higgs mass plot, one reference added

References in corpus (1)

• Why the Standard Model

Cited by in corpus (10)

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• On globally non-trivial almost-commutative manifolds
• The disappearance of causality at small scale in almost-commutative manifolds
• Unification of Coupling Constants, Dimension six Operators and the Spectral Action
• Supersymmetry and noncommutative geometry Part I: Supersymmetric almost-commutative geometries
• Gauge field theories: various mathematical approaches
• Supersymmetry and the Spectral Action. On a geometrical interpretation of the MSSM