Vacuum stability, neutrinos, and dark matter

1,144

1,803

We extract from data the parameters of the Higgs potential, the top Yukawa coupling and the electroweak gauge couplings with full 2-loop NNLO precision, and we extrapolate the SM parameters up to large energies with full 3-loop NNLO RGE precision. Then we study the phase diagram of the Standard Model in terms of high-energy parameters, finding that the measured Higgs mass roughly corresponds to the minimum values of the Higgs quartic and top Yukawa and the maximum value of the gauge couplings allowed by vacuum metastability. We discuss various theoretical interpretations of the near-criticality of the Higgs mass.

Section: Introductionmentioning

confidence: 65%

Investigating the near-criticality of the Higgs boson

Buttazzo

Degrassi

Giardino

et al. 2013

1,144

1,803

“…In our simple model we couple the additional scalar to the Standard Model through a Higgs portal [72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91] added to the effective potential of eq. (2.6),…”

Section: Jhep04(2015)022mentioning

confidence: 99%

The Higgs mass and the scale of new physics

Eichhorn

Gies

Jaeckel

et al. 2015

In view of the measured Higgs mass of 125 GeV, the perturbative renormalization group evolution of the Standard Model suggests that our Higgs vacuum might not be stable. We connect the usual perturbative approach and the functional renormalization group which allows for a straightforward inclusion of higher-dimensional operators in the presence of an ultraviolet cutoff. In the latter framework we study vacuum stability in the presence of higher-dimensional operators. We find that their presence can have a sizable influence on the maximum ultraviolet scale of the Standard Model and the existence of instabilities. Finally, we discuss how such operators can be generated in specific models and study the relation between the instability scale of the potential and the scale of new physics required to avoid instabilities.

“…Writing the RG equations for the top quark, neutrino, Higgs and singlet quartic couplings we have [8][9][10][11][12] …”

Section: Running the Initial Conditions For The Model With Cutoff Funmentioning

confidence: 99%

“…The potential was derived and given in full detail in our earlier work [2]. Recently and in more than one work [3][4][5][6], it was shown that adding a singlet (real or complex) scalar field, whose potential mixes with the Higgs field, has important consequences. It turned out that the RG equations of the combined Higgs-singlet system solves the stabilization problem faced with a light Higgs field of the order of 125 Gev avoiding making the Higgs quartic coupling negative at very high energies.…”

Section: Jhep09(2012)104mentioning

confidence: 99%

Resilience of the spectral standard model

Chamseddine

Connes

2012

108

136

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.