Standard model criticality prediction top mass 173 ± 5 GeV and Higgs mass 135 ± 9 GeV

We present the first complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling (λ) and the Higgs mass (M h ), reducing the theoretical uncertainty in the determination of the critical value of M h for vacuum stability to 1 GeV. While λ at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98% C.L. for M h < 126 GeV. Possible consequences of the near vanishing of λ at the Planck scale, including speculations about the role of the Higgs field during inflation, are discussed.

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“…[22,23] and discussed more recently in ref. [12,13,15,24,25] -the smallness of λ around M Pl is quite remarkable (see figure 1).…”

Section: Jhep08(2012)098mentioning

confidence: 90%

“…Alternative proposals for Higgs inflation employ the peculiarity of the SM scalar potential to develop a second minimum at large Higgs field values for a very special choice of parameters [12,22,23]. The possibility of using this new minimum for inflation was first contemplated in ref.…”

Section: Higgs Inflation From False Vacuummentioning

confidence: 99%

Higgs mass and vacuum stability in the Standard Model at NNLO

Degrassi

Vita

Elias-Miró

et al. 2012

J. High Energ. Phys.

1,314

1,847

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“…[39,[56][57][58][59][60][61]) and of models with a dynamical inflaton potential (already the very first papers on inflation considered the possibility that the inflaton potential is generated dynamically by loop effects [62][63][64] via the Coleman-Weinberg mechanism [65]). Furthermore, dynamical generation of masses is compatible with the small observed cosmological constant provided that the scalar potential satisfies the 'multiple point criticality principle' [66], that was introduced for the SM Higgs boson and is extensively used in Higgs inflation [67,68]. Originally, the non-minimal coupling for the usual inflaton was considered in [69][70][71][72][73].…”

Section: Jhep05(2015)065mentioning

confidence: 99%

Dynamically induced Planck scale and inflation

Kannike

Hütsi

Pizza

et al. 2015

J. High Energ. Phys.

158

136

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Theories where the Planck scale is dynamically generated from dimensionless interactions provide predictive inflationary potentials and super-Planckian field variations. We first study the minimal single field realisation in the low-energy effective field theory limit, finding the predictions n s ≈ 0.96 for the spectral index and r ≈ 0.13 for the tensor-toscalar ratio, which can be reduced down to ≈ 0.04 in presence of large couplings. Next we consider agravity as a dimensionless quantum gravity theory finding a multifield inflation that converges towards an attractor trajectory and predicts n s ≈ 0.96 and 0.003 < r < 0.13, interpolating between the quadratic and Starobinsky inflation. These theories relate the smallness of the weak scale to the smallness of inflationary perturbations: both arise naturally because of small couplings, implying a reheating temperature of 10 7−9 GeV. A measurement of r by Keck/Bicep3 would give us information on quantum gravity in the dimensionless scenario.

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“…In the first vacuum where we live the SM is valid up to the Planck scale. It has recently been pointed out that the enormous hierarchy between the electroweak and Planck scales might also be explained by MPP [29], [32] in the SM.…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

“…Three types of soft SUSY breaking parameters m 2 α , A αβγ and B αβ appear in the scalar potential (32). In the vacua, where local SUSY is broken and the gravitino gains a non-zero mass…”

Section: Appendixmentioning

confidence: 99%

On the smallness of the cosmological constant in SUGRA models

Froggatt¹,

Nevzorov²,

Nielsen³

2006

Nuclear Physics B

Self Cite

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In no-scale supergravity global symmetries protect local supersymmetry and a zero value for the cosmological constant. We consider the breakdown of these symmetries and present a minimal SUGRA model motivated by the multiple point principle, in which the total vacuum energy density is naturally tiny. In order to reproduce the observed value of the cosmological constant and preserve gauge coupling unification, an additional pair of 5 +5-plets of superfields has to be included in the particle content of the considered model. These extra fields have masses of the order of the supersymmetry breaking scale; so they can be detected at future colliders. We also discuss the supersymmetry breakdown and possible solution of the cosmological constant problem by MPP in models with an enlarged gauge symmetry.

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Standard model criticality prediction top mass 173 ± 5 GeV and Higgs mass 135 ± 9 GeV

Cited by 232 publications

References 18 publications

Higgs mass and vacuum stability in the Standard Model at NNLO

Higgs mass and vacuum stability in the Standard Model at NNLO

Dynamically induced Planck scale and inflation

On the smallness of the cosmological constant in SUGRA models

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