Resilience of the Spectral Standard Model

TL;DR

This paper demonstrates that including a real scalar field in the spectral Standard Model resolves previous inconsistencies with the observed Higgs mass, aligning the model with experimental data.

Contribution

It reveals that a previously neglected scalar field significantly alters the RG analysis, correcting earlier Higgs mass predictions within the spectral model.

Findings

Scalar field stabilizes the Standard Model up to unification scale.

Inclusion of the scalar field invalidates previous Higgs mass predictions.

Model becomes consistent with the low observed Higgs mass.

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.