Dependence of the Higgs coupling and the possible onset of new physics

Sirlin, A.; Zucchini, Roberto

doi:10.1016/0550-3213(86)90096-9

Cited by 158 publications

(168 citation statements)

References 15 publications

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“…The renormalization of λ is achieved following the prescription given in Ref. [30] for the renormalization of the Higgs sector. However, once the factor g/m W is extracted and its renormalization included in the K r term, the relevant coupling becomes (m W /g) 2λv = λv 2 whose counterterm is equal to…”

Section: Outline Of the Calculationmentioning

confidence: 99%

Two-loop electroweak corrections to the Higgs-boson decay

Degrassi

Maltoni

2005

Nuclear Physics B

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The complete set of two-loop electroweak corrections to the decay width of the Higgs boson into two photons is presented. Two-loop contributions involving weak bosons and the top quark are computed in terms of an expansion in the Higgs external momentum. Adding these results to the previously known light fermion contributions, we find that the total electroweak corrections for a Higgs boson with 100 GeV m H 150 GeV are moderate and negative, between −4% δ EW 0%. Combination with the QCD corrections, which are small and positive, gives a total correction to the one-loop results of |δ EW +QCD | 1.5%.

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Section: Outline Of the Calculationmentioning

confidence: 99%

Two-loop electroweak corrections to the Higgs-boson decay

Degrassi

Maltoni

2005

Nuclear Physics B

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“…This equation has been also considered in Refs. [8,9,10] to study the dependence of the Higgs mass and the UV cut off on the energy and it was solved for the simplified case when the gauge couplings and the top quark Yukawa coupling are constant.…”

Section: Introductionmentioning

confidence: 99%

Precise bounds on the Higgs boson mass

Kielanowski

Solís-Rodríguez

2005

Phys. Rev. D

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We study the renormalization group evolution of the Higgs quartic coupling λH and the Higgs mass mH in the Standard Model. The one loop equation for λH is non linear and it is of the Riccati type which we numerically and analytically solve in the energy range [mt, EGU ] where mt is the mass of the top quark and EGU = 10 14 GeV. We find that depending on the value of λH (mt) the solution for λH (E) may have singularities or zeros and become negative in the former energy range so the ultra violet cut off of the standard model should be below the energy where the zero or singularity of λH occurs. We find that for 0.369 ≤ λH (mt) ≤ 0.613 the Standard Model is valid in the whole range [mt, EGU ]. We consider two cases of the Higgs mass relation to the parameters of the standard model: (a) the effective potential method and (b) the tree level mass relations. The limits for λH(mt) correspond to the following Higgs mass relation 150 ≤ mH 193 GeV. We also plot the dependence of the ultra violet cut off on the value of the Higgs mass. We analyze the evolution of the vacuum expectation value of the Higgs field and show that it depends on the value of the Higgs mass. The pattern of the energy behavior of the VEV is different for the cases (a) and (b). The behavior of λH (E), mH (E) and v(E) indicates the existence of a phase transition in the standard model. For the effective potential this phase transition occurs at the mass range mH ≈ 180 GeV and for the tree level mass relations at mH ≈ 168 GeV.

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“…Crucially, as we have shown in section 3, a precise and successful prediction for the top quark results. 17 If this picture of fermion masses is correct, then there is a further consequence for the u, d and e masses. Since they are selected to be quite far from their most probable values in the landscape, our patch of the universe is quite rare.…”

Section: Quark and Charged Lepton Massesmentioning

confidence: 99%

“…The analysis is performed with 2-loop RG equations [16] and 1-loop (2-loop in g s ) threshold corrections [17,18,19] at the matching scale µ = m t [20].…”

Section: Quantum Tunnelingmentioning

confidence: 99%

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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Dependence of the Higgs coupling and the possible onset of new physics

Cited by 158 publications

References 15 publications

Two-loop electroweak corrections to the Higgs-boson decay

Two-loop electroweak corrections to the Higgs-boson decay

Precise bounds on the Higgs boson mass

Landscape predictions for the Higgs boson and top quark masses

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