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Arnold, Peter; Vokos, Stamatis

doi:10.1103/physrevd.44.3620

Cited by 96 publications

(120 citation statements)

References 26 publications

(14 reference statements)

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“…It is known (see [17][18][19][20][21][22][23][24][25][26] and refs therein) that the SM Higgs potential is modified by high order quantum corrections. For Higgs quartic coupling λ, its β function, β λ , receives positive contributions from scalars and gauge bosons and negative contributions from fermions.…”

Section: Vacuum Stability and Perturbativitymentioning

confidence: 99%

Vacuum stability, neutrinos, and dark matter

Chen

Tang

2012

J. High Energ. Phys.

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Motivated by the discovery hint of the Standard Model (SM) Higgs mass around 125 GeV at the LHC, we study the vacuum stability and perturbativity bounds on Higgs scalar of the SM extensions including neutrinos and dark matter (DM). Guided by the SM gauge symmetry and the minimal changes in the SM Higgs potential we consider two extensions of neutrino sector (Type-I and Type-III seesaw mechanisms) and DM sector (a real scalar singlet (darkon) and minimal dark matter (MDM)) respectively. The darkon contributes positively to the β function of the Higgs quartic coupling λ and can stabilize the SM vacuum up to high scale. Similar to the top quark in the SM we find the cause of instability is sensitive to the size of new Yukawa couplings between heavy neutrinos and Higgs boson, namely, the scale of seesaw mechanism. MDM and Type-III seesaw fermion triplet, two nontrivial representations of SU (2) L group, will bring the additional positive contributions to the gauge coupling g 2 renormalization group (RG) evolution and would also help to stabilize the electroweak vacuum up to high scale.

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Section: Vacuum Stability and Perturbativitymentioning

confidence: 99%

Vacuum stability, neutrinos, and dark matter

Chen

Tang

2012

J. High Energ. Phys.

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“…Several physical interpretations of this scale are possible: first, we can require that the Higgs potential be stable at all scales. New degrees of freedom would then have to appear below or at 10 10 GeV, changing the renormalization group evolution, and rendering the potential stable [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. We review one such approach based on a Higgs portal with a scalar dark matter candidate in the appendix [49,50].…”

Section: Jhep04(2015)022mentioning

confidence: 99%

The Higgs mass and the scale of new physics

Eichhorn

Gies

Jaeckel

et al. 2015

J. High Energ. Phys.

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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.

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“…On the other hand, thermal fluctuations can themselves induce vacuum transitions from the false vacuum with H = v to the true vacuum with large H . If the temperature was sufficiently high, then the vacuum transitions are dominated by these thermal processes, not by the quantum tunneling discussed so far [22,23,18,24]. This section investigates how the results in the earlier sections should be modified in this case.…”

Section: Higgs Mass Prediction From Thermal Fluctuationsmentioning

confidence: 99%

“…Thus g eff H is in this case much less than T , so that the high-temperature expansion is a good approximation. Reference [23] then obtained…”

Section: Vacuum Transitions At High Temperaturesmentioning

confidence: 99%

“…For precise quantitative results, numerical calculations will be used, as can be seen in what follows. We will employ the approximation adopted by [23]; for g eff H ≪ T , the high-temperature (H/T ) expansion of the potential may be used. The leading term of the 1-loop thermal potential is then the thermal mass term…”

Section: Vacuum Transitions At High Temperaturesmentioning

confidence: 99%

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Landscape predictions for the Higgs boson and top quark masses

2006

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If the Standard Model is valid up to scales near the Planck mass, and if the cosmological constant and Higgs mass parameters scan on a landscape of vacua, it is well-known that the observed orders of magnitude of these quantities can be understood from environmental selection for large scale structure and atoms. If in addition the Higgs quartic coupling scans, with a probability distribution peaked at low values, environmental selection for a phase having a scale of electroweak symmetry breaking much less than the Planck scale leads to a most probable Higgs mass of 106 ± 6 GeV for m t = 171 ± 2 GeV. While fluctuations below this are negligible, the upward fluctuation is 25/p GeV, where p measures the strength of the peaking of the a priori distribution of the quartic coupling. There is an additional ±6 GeV uncertainty from calculable higher loop effects, and also sensitivity to the experimental value of α s . If the top Yukawa coupling also scans, the most probable top quark mass is predicted to lie in the range (174-178) GeV, providing the standard model is valid to at least 10 17 GeV, with an additional uncertainty of ±3 GeV from higher loops. The downward fluctuation is 35 GeV/ √ p, suggesting that p is sufficiently large togive a very precise Higgs mass prediction. While a high reheat temperature after inflation could raise the most probable value of the Higgs mass to 118 GeV, maintaining the successful top prediction suggests that reheating is limited to about 10 8 GeV, and that the most probable value of the Higgs mass remains at 106 GeV. If all Yukawa couplings scan, then the e, u, d and t masses are understood to be outliers having extreme values induced by the pressures of strong environmental selection, while the s, µ, c, b, τ Yukawa couplings span only two orders of magnitude, reflecting an a priori distribution peaked around 10 −3 . An interesting extension to neutrino masses and leptogenesis follows if right-handed neutrino masses scan, with a preference for larger values, and if T R and T max scan with mild distributions. The broad order of magnitude of the light neutrino masses and the baryon asymmetry are correctly predicted, while the right-handed neutrino masses, the reheat temperature and the maximum temperature are all predicted to be of order 10 8 -10 9 GeV.

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Instability of hot electroweak theory: Bounds onmHandmt

Cited by 96 publications

References 26 publications

Vacuum stability, neutrinos, and dark matter

Vacuum stability, neutrinos, and dark matter

The Higgs mass and the scale of new physics

Landscape predictions for the Higgs boson and top quark masses

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