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Resilience of the Spectral Standard Model · Around

2012

Resilience of the Spectral Standard Model

Chamseddine, Ali H., Connes, Alain

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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.

Built on

F. Englert and R. Brout, Phys. Rev. Lett. 13
1964
Earlier work this paper cites.
Ali H. Chamseddine and Alain Connes, Scale invariance in the spectral action,
2006
Earlier work this paper cites.
A. Chamseddine, A. Connes, M. Marcolli, Gravity and the standard model with neutrino mixing , Adv. Theor. Math. 11
2007
Earlier work this paper cites.

Similar

Ali H. Chamseddine and Alain Connes, Why the Standard Model,
2008
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Ali H. Chamseddine and Alain Connes, Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I,
2010
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Ali H. Chamseddine, Noncommutative Geometry as the key to unlock secrets of space-time,
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G. Degrassi, S. Di Vita, J. Elias-Miro, J. Espinosa, G. Guidice, G. Isidori and A. Sturmia, Higgs mass and Vacuum Stability in the Standard Model at NNLO arXiv:1205.6497
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Oleg Lebedev On Stability of the Higgs Potential and the Higgs Portal, JHEP,
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F. Bezrukov, M. Y. .Kalmykov, B. A. Kniehl and M. Shaposhnikov, arXiv:1205.2893 [hep-ph]
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K. Chetyrkin and M. Zoller, Three loop beta functions for the top Yukawa and the Higgs self interactions in the Standard Model
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Then

M. Gonderinger, Y. Li, H. Patel and M. J. Ramsey-Musolf, JHEP 1001 (2010) 053 [hep-ph/0910.3167]; O. Lebedev and H. M. Lee, Eur. Phys. J. C 71 (2011) 1821 [hep-ph/1105.2284]; M. Kadastik, K. Kannike, A. Racioppi and M. Raidal, [hep-ph/1112.3647]; M. Gonderinger, H. Lim and M. J. Ramsey-Musolf, [hep-ph/1202.1316]; C. -S. Chen and Y. Tang [hep-ph/1202.5717]
2011
Later among the works it cites.
J. Elias-Miro, J. Espinosa, G. Guidice, H. M. Lee and A. Sturmia, Stabilization of the Electroweak Vacuum by a Scalar Threshold effect,
2012
Closest in time.
Chian-Shu Chen and Yong Tang, Vacuum Stability, Neutrinos and Dark matter
2012
Closest in time.

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