Higgs mass and vacuum stability in the Standard Model at NNLO

Degrassi, Giuseppe; Vita, S. Di; Elias-Miró, J.; Espinosa, J. R.; Giudice, Gian F.; Isidori, Gino; Струмиа, Алессандро

doi:10.1007/jhep08(2012)098

Cited by 1,298 publications

(1,936 citation statements)

References 75 publications

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“…In particular, the results in Ref. [14] yield a minimal value of m h 129 GeV for vacuum stability. Moreover, given the currently observed value of 125 GeV for the Higgs boson, the SM vacuum is metastable under the assumption of no new physics beyond the Standard Model below about 10 10 GeV.…”

Section: V2 the Effects Of Two-loops Rg Runningmentioning

confidence: 95%

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Preserving the validity of the two-Higgs-doublet model up to the Planck scale

2015

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We examine the constraints on the two Higgs doublet model (2HDM) due to the stability of the scalar potential and absence of Landau poles at energy scales below the Planck scale. We employ the most general 2HDM that incorporates an approximately Standard Model (SM) Higgs boson with a flavor aligned Yukawa sector to eliminate potential tree-level Higgs-mediated flavor changing neutral currents. Using basis independent techniques, we exhibit regimes of the 2HDM parameter space with a 125 GeV SM-like Higgs boson that is stable and perturbative up to the Planck scale. Implications for the heavy scalar spectrum are exhibited.

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Section: V2 the Effects Of Two-loops Rg Runningmentioning

confidence: 95%

“…From our one-loop SM calculations and the two-loop SM calculations of Ref. [14], we determine the energy scale shift of the SM scalar potential stability curves due to the inclusion of two-loop RG running. Taking Λ H = 1 TeV, the resulting scale shift function is shown in the left panel of Fig.…”

Section: V2 the Effects Of Two-loops Rg Runningmentioning

confidence: 99%

Preserving the validity of the two-Higgs-doublet model up to the Planck scale

2015

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“…The vacuum stability of the SM up to the Planck scale is excluded at 2σ (98% C.L. one sided) for m H < 126 GeV [18][19][20]. The instability of the SM vacuum does not contradict any experimental observation, provided its lifetime τ is longer than the age of the universe T U .…”

Section: Introductionmentioning

confidence: 88%

“…However, the devil is in the details. More recent NNLO analyses [18][19][20] On combining in quadrature the theoretical uncertainty with experimental errors on the mass of the top (m t ) and the strong coupling constant (α s ), one obtains m H > 129 ± 1.8 GeV. The vacuum stability of the SM up to the Planck scale is excluded at 2σ (98% C.L.…”

Section: Introductionmentioning

confidence: 99%

Majorana dark matter through the Higgs portal under the vacuum stability lamppost

et al. 2015

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We study the vacuum stability of a minimal Higgs portal model in which the standard model (SM) particle spectrum is extended to include one complex scalar field and one Dirac fermion. These new fields are singlets under the SM gauge group and are charged under a global U (1) symmetry. Breaking of this U (1) symmetry results in a massless Goldstone boson, a massive CPeven scalar, and splits the Dirac fermion into two new mass-eigenstates, corresponding to Majorana fermions. The lightest Majorana fermion (w) is absolutely stable, providing a plausible dark matter (DM) candidate. We show that interactions between the Higgs sector and the lightest Majorana fermion which are strong enough to yield a thermal relic abundance consistent with observation can easily destabilize the electroweak vacuum or drive the theory into a non-perturbative regime at an energy scale well below the Planck mass. However, we also demonstrate that there is a region of the parameter space which develops a stable vacuum (up to the Planck scale), satisfies the relic abundance, and is in agreement with direct DM searches. Such an interesting region of the parameter space corresponds to DM masses 350 GeV mw 1 TeV. The region of interest is within reach of second generation DM direct detection experiments.

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“…In fact, the possibility that the SM holds at least as a consistent theory up to the scale of quantum gravity (or Planck scale) requires the Higgs potential to not develop instabilities below this scale, which can be triggered by too strong a top Yukawa interaction, which is too heavy a top quark [1]. For such vacuum stability to hold, the measurements of the Higgs mass require the top quark to be lighter than a value that is within a few GeV from the current top quark mass world combination [2][3][4][5][6]. Therefore, a precise measurement of the mass of the top quark is mandatory to discuss the validity of the SM up to the highest energies.…”

Section: Introductionmentioning

confidence: 99%

Top quark mass determination from the energy peaks of b-jets and B-hadrons at NLO QCD

et al. 2016

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We analyze the energy spectra of single b-jets and B-hadrons resulting from the production and decay of top quarks within the SM at the LHC at the NLO QCD. For both hadrons and jets, we calculate the correlation of the peak of the spectrum with the top quark mass, considering the "energy peak" as an observable to determine the top quark mass. Such a method is motivated by our previous work where we argued that this approach can have reduced sensitivity to the details of the production mechanism of the top quark, whether it concerns higher-order QCD effects or new physics contributions. For a 1% jet energy scale uncertainty, the top quark mass can then be extracted using the energy peak of b-jets with an error ±(1.2(exp) + 0.6(th)) GeV. In view of the dominant jet energy scale uncertainty in the measurement using b-jets, we also investigate the extraction of the top quark mass from the energy peak of the corresponding B-hadrons which, in principle, can be measured without this uncertainty. The calculation of the B-hadron energy spectrum is carried out using fragmentation functions at NLO. The dependence on the fragmentation scale turns out to be the largest theoretical uncertainty in this extraction of top quark mass.

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Higgs mass and vacuum stability in the Standard Model at NNLO

Cited by 1,298 publications

References 75 publications

Preserving the validity of the two-Higgs-doublet model up to the Planck scale

Preserving the validity of the two-Higgs-doublet model up to the Planck scale

Majorana dark matter through the Higgs portal under the vacuum stability lamppost

Top quark mass determination from the energy peaks of b-jets and B-hadrons at NLO QCD

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