Higgs self-coupling beta-function in the Standard Model at three loops

Bednyakov, A. V.; Pikelner, Andrey; Velizhanin, V.N.

doi:10.1016/j.nuclphysb.2013.07.015

Cited by 117 publications

(118 citation statements)

References 61 publications

(70 reference statements)

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“…This approximation is reasonable since we focus on ξ gf < 4π; for larger values of ξ gf , perturbativity becomes an issue. The Higgs field runs according to −γĥ = dĥ/dt where the anomalous dimension γ(t) is given as [57] This last equation may be solved immediately along with the boundary conditionĥ(t = 0) = h c to obtain…”

Section: Resultsmentioning

confidence: 99%

Is Higgs inflation ruled out?

et al. 2014

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We consider the status of Higgs Inflation in light of the recently announced detection of B-modes in the polarization of the cosmic microwave background radiation by the BICEP2 collaboration. In order for the primordial B-mode signal to be observable by BICEP2, the energy scale of inflation must be high, V inf ≈ 2 × 10 16 GeV. Higgs Inflation generally predicts a small amplitude of tensor perturbations, and therefore it is natural to ask if Higgs Inflation might accommodate this new measurement. We find the answer is essentially no, unless one considers either extreme fine tuning, or possibly adding new beyond the standard model fields, which remove some of the more attractive features of the original idea. We also explore the possible importance of a factor that has not previously been explicitly incorporated, namely the gauge dependence of the effective potential used in calculating inflationary observables, e.g. nS and r, to see if this might provide additional wiggle room. Such gauge effects are comparable to effects of Higgs mass uncertainties and other observables already considered in the analysis, and therefore they are relevant for constraining models. But, they are therefore too small to remove the apparent incompatibility between the BICEP2 observation and the predictions of Higgs Inflation.

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Section: Resultsmentioning

confidence: 99%

Is Higgs inflation ruled out?

et al. 2014

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“…Renormalisation Group Equations [66] O(α 2 3 α t ) [67] full [68] full [69,70] g 1,2 full [58,59] full [68] full [69,70] -y t full [71] O(α 2 t , α 3 α t ) [72] full [73,74] full [75] λ, m 2 full [71] full [76,77] full [78,79] - Table 1. Present status of higher-order computations included in our code.…”

Section: Jhep12(2013)089mentioning

confidence: 99%

Investigating the near-criticality of the Higgs boson

Buttazzo

Degrassi

Giardino

et al. 2013

J. High Energ. Phys.

1,128

1,792

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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.

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“…4.3. The bands show the corresponding variation of the Higgs pole mass when the renormalization scale is varied using the three-loop renormalization group equations [57][58][59][60][61][62][63] for all parameters except for the vacuum expectation values, where the β-functions are known only up to the two-loop level [64,65]. In FlexibleSUSY and FlexibleSUSY+Himalaya, the renormalizaion scale is varied in the full MSSM within the interval [M S /2, 2M S ], while in HSSUSY it is varied in the Standard Model within the interval [M t /2, 2M t ], keeping the matching scale fixed at M S .…”

Section: Scale Dependence Of the Three-loop Higgs Pole Massmentioning

confidence: 99%

Higgs mass prediction in the MSSM at three-loop level in a pure $$\overline{{\text {DR}}}$$ DR ¯ context

2017

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The impact of the three-loop effects of order α t α 2 s on the mass of the light CP-even Higgs boson in the MSSM is studied in a pure DR context. For this purpose, we implement the results of Kant et al. (JHEP 08:104, 2010) into the C++ module Himalaya and link it to FlexibleSUSY, a Mathematica and C++ package to create spectrum generators for BSM models. The three-loop result is compared to the fixed-order two-loop calculations of the original FlexibleSUSY and of FeynHiggs, as well as to the result based on an EFT approach. Aside from the expected reduction of the renormalization scale dependence with respect to the lower-order results, we find that the three-loop contributions significantly reduce the difference from the EFT prediction in the TeV-region of the SUSY scale M S . Himalaya can be linked also to other two-loop DR codes, thus allowing for the elevation of these codes to the three-loop level.

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Higgs self-coupling beta-function in the Standard Model at three loops

Cited by 117 publications

References 61 publications

Is Higgs inflation ruled out?

Is Higgs inflation ruled out?

Investigating the near-criticality of the Higgs boson

Higgs mass prediction in the MSSM at three-loop level in a pure $$\overline{{\text {DR}}}$$ DR ¯ context

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