Yukawa coupling beta-functions in the Standard Model at three loops

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

doi:10.1016/j.physletb.2013.04.038

Cited by 121 publications

(132 citation statements)

References 53 publications

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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.

1,144

1,803

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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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Section: Jhep12(2013)089mentioning

confidence: 99%

Investigating the near-criticality of the Higgs boson

Buttazzo

Degrassi

Giardino

et al. 2013

J. High Energ. Phys.

1,144

1,803

View full text Add to dashboard Cite

show abstract

“…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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“…The SM renormalisation group equations (RGEs) are known up to 3 loops for gauge [31][32][33][34][35] (partially at 4-loop level for g 3 [36,37]), Yukawa couplings [38,39], and the Higgs quartic coupling [40][41][42]. The latter computation reduces the uncertainties related to the Higgs quartic coupling so that the biggest uncertainty in the SM RGEs is coming from the experimental determination of the top Yukawa couplings [42,43].…”

Section: The Validity Of the Smmentioning

confidence: 99%

Towards completing the standard model: Vacuum stability, electroweak symmetry breaking, and dark matter

et al. 2014

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We study the standard model (SM) in its full perturbative validity range between ΛQCD and the U (1)Y Landau pole, assuming that a yet unknown gravitational theory in the UV does not introduce additional particle thresholds, as suggested by the tiny cosmological constant and the absence of new stabilising physics at the EW scale. We find that, due to dimensional transmutation, the SM Higgs potential has a global minimum at 10 26 GeV, invalidating the SM as a phenomenologically acceptable model in this energy range. We show that extending the classically scale invariant SM with one complex singlet scalar S allows us to: (i) stabilise the SM Higgs potential; (ii) induce a scale in the singlet sector via dimensional transmutation that generates the negative SM Higgs mass term via the Higgs portal; (iii) provide a stable CP-odd singlet as the thermal relic dark matter due to CP-conservation of the scalar potential; (iv) provide a degree of freedom that can act as an inflaton in the form of the CP-even singlet. The logarithmic behaviour of dimensional transmutation allows one to accommodate the large hierarchy between the electroweak scale and the Landau pole, while understanding the latter requires a new non-perturbative view on the SM.

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Yukawa coupling beta-functions in the Standard Model at three loops

Cited by 121 publications

References 53 publications

Investigating the near-criticality of the Higgs boson

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

Towards completing the standard model: Vacuum stability, electroweak symmetry breaking, and dark matter

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