2001
DOI: 10.1016/s0550-3213(01)00302-9
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On the metastability of the Standard Model vacuum

Abstract: 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 … Show more

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Cited by 456 publications
(727 citation statements)
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References 41 publications
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“…On the one hand, O(1) values for the new coupligs y 4,5,6,7 can cause desirable modifications to Higgs physics, but clearly the larger these couplings are the faster the Higgs quartic will run negative. As an example, if we take the values y 4 = y 5 = 0 and y 6 = y 7 = 1 and a threshold at the vector-like mass scale of M = 800 GeV, we find that the Higgs quartic vanishes at the scale 2 TeV, while it can be metastable up to scales of order 3 TeV, where we have used the results of [69] to estimate the metastability bound.…”
Section: Custodial Modelmentioning
confidence: 98%
“…On the one hand, O(1) values for the new coupligs y 4,5,6,7 can cause desirable modifications to Higgs physics, but clearly the larger these couplings are the faster the Higgs quartic will run negative. As an example, if we take the values y 4 = y 5 = 0 and y 6 = y 7 = 1 and a threshold at the vector-like mass scale of M = 800 GeV, we find that the Higgs quartic vanishes at the scale 2 TeV, while it can be metastable up to scales of order 3 TeV, where we have used the results of [69] to estimate the metastability bound.…”
Section: Custodial Modelmentioning
confidence: 98%
“…Several physical interpretations of this scale are possible: first, we can require that the Higgs potential be stable at all scales. New degrees of freedom would then have to appear below or at 10 10 GeV, changing the renormalization group evolution, and rendering the potential stable [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. We review one such approach based on a Higgs portal with a scalar dark matter candidate in the appendix [49,50].…”
Section: Jhep04(2015)022mentioning
confidence: 99%
“…For the formation of a Bubble of size ∼ R one should evaluate the scale dependent potential at the scale k ∼ 1/R [97,98]. In the situation we are interested in, the field values where the potential starts to be lower than the electroweak vacuum near zero vev are quite large.…”
Section: B Tunnellingmentioning
confidence: 99%
See 1 more Smart Citation
“…When the LEP-2 accelerator at CERN closed down finally on November 3, 2000, it had produced slightly more events that are compatible with being due to the decay of Higgs bosons with a rest mass of m H = 115 +0. 7 −0.5 GeV (1) than expected from background processes [2,3]. If the Higgs boson mass, m H and the top quark mass m t do not satisfy the approximate relationship…”
Section: Introductionmentioning
confidence: 99%