Understanding fine structure constants and three generations

Bennett, D. L.; Nielsen, Holger Bech; Picek, I.

doi:10.1016/0370-2693(88)90429-7

Cited by 52 publications

(65 citation statements)

References 3 publications

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“…Finally, we note that the considerations developed in this Letter should be relevant for related scenarios, Higgs potential with two degenerate minima [20] and Higgs driven inflation scenarios [21,22]. In all of these cases, in fact, the physical scale relevant to the involved mechanism is dangerously close to the Planck scale and we expect high sensitivity to new physics interactions.…”

Section: Sm Higgs Potentialmentioning

confidence: 79%

Stability, Higgs Boson Mass, and New Physics

2013

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Assuming that the particle with mass ∼ 126 GeV discovered at LHC is the Standard Model Higgs boson, we find that the stability of the EW vacuum strongly depends on new physics interaction at the Planck scale MP , despite of the fact that they are higher-dimensional interactions, apparently suppressed by inverse powers of MP . In particular, for the present experimental values of the top and Higgs masses, if τ is the lifetime of the EW vacuum, new physics can turn τ from τ >> TU to τ << TU , where TU is the age of the Universe, thus weakening the conclusions of the so called meta-stability scenario.Introduction.-When the particle with mass ∼ 126 GeV discovered at LHC [1, 2] is identified with the Standard Model (SM) Higgs boson, serious and challenging questions arise. Among them, the vacuum stability issue. The Higgs effective potential V ef f (φ) bends down for values of φ larger the EW minimum, an instability due to top loop-corrections. By requiring stability, lower bounds on the Higgs mass M H were found [3][4][5][6][7][8][9].A variation on this picture is the so called metastability scenario [4,[10][11][12]. For φ much larger than v (location of the EW minimum), V ef f (φ) develops a new minimum at φ

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Section: Sm Higgs Potentialmentioning

confidence: 79%

Stability, Higgs Boson Mass, and New Physics

2013

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“…[22,23] and discussed more recently in ref. [12,13,15,24,25] -the smallness of λ around M Pl is quite remarkable (see figure 1).…”

Section: Jhep08(2012)098mentioning

confidence: 92%

“…Alternative proposals for Higgs inflation employ the peculiarity of the SM scalar potential to develop a second minimum at large Higgs field values for a very special choice of parameters [12,22,23]. The possibility of using this new minimum for inflation was first contemplated in ref.…”

Section: Higgs Inflation From False Vacuummentioning

confidence: 99%

Higgs mass and vacuum stability in the Standard Model at NNLO

Degrassi

Vita

Elias-Miró

et al. 2012

J. High Energ. Phys.

1,313

1,847

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We present the first complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling (λ) and the Higgs mass (M h ), reducing the theoretical uncertainty in the determination of the critical value of M h for vacuum stability to 1 GeV. While λ at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98% C.L. for M h < 126 GeV. Possible consequences of the near vanishing of λ at the Planck scale, including speculations about the role of the Higgs field during inflation, are discussed.

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“…We now know that m H must be larger than about 113 GeV [4]. If m H lays just above this bound, as hinted by direct searches [5] and consistently with electroweak fits [6], absolute stability up to the Planck scale is possible, provided m t is close to the lower end of its experimental range [7]. For m t around its central value, the SM vacuum may not be absolutely stable, but still sufficiently longlived with respect to the age of the universe.…”

Section: Introductionmentioning

confidence: 99%

On the metastability of the Standard Model vacuum

2001

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If the Higgs mass m H is as low as suggested by present experimental information, the Standard Model ground state might not be absolutely stable. We present a detailed analysis of the lower bounds on m H imposed by the requirement that the electroweak vacuum be sufficiently long-lived. We perform a complete one-loop calculation of the tunnelling probability at zero temperature, and we improve it by means of two-loop renormalization-group equations. We find that, for m H = 115 GeV, the Higgs potential develops an instability below the Planck scale for m t > (166±2) GeV, but the electroweak vacuum is sufficiently long-lived for m t < (175 ± 2) GeV.

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Understanding fine structure constants and three generations

Cited by 52 publications

References 3 publications

Stability, Higgs Boson Mass, and New Physics

Stability, Higgs Boson Mass, and New Physics

Higgs mass and vacuum stability in the Standard Model at NNLO

On the metastability of the Standard Model vacuum

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