Higgs mass implications on the stability of the electroweak vacuum

Self Cite

We develop the formalism for computing gravitational corrections to vacuum decay from de Sitter space as a sub-Planckian perturbative expansion. Non-minimal coupling to gravity can be encoded in an effective potential. The Coleman bounce continuously deforms into the Hawking-Moss bounce, until they coincide for a critical value of the Hubble constant. As an application, we reconsider the decay of the electroweak Higgs vacuum during inflation. Our vacuum decay computation reproduces and improves bounds on the maximal inflationary Hubble scale previously computed through statistical techniques.

Section: Standard Model Vacuum Decay During Inflationmentioning

confidence: 62%

(Higgs) vacuum decay during inflation

Joti

Katsis

Loupas

et al. 2017

Self Cite

“…The so-called 'self-couplings' and their energy dependence are crucial in determining the stability of the vacuum. Current observations suggest that our Universe may be sitting at a metastable false vacuum [1][2][3][4][5][6][7][8] and measurements of these couplings will illuminate this fact further. At colliders, these terms, i.e.…”

Section: Jhep02(2016)006mentioning

confidence: 95%

Triple Higgs boson production at a 100 TeV proton-proton collider

Papaefstathiou

Sakurai

2016

We consider triple Higgs boson production at a future 100 TeV proton-proton collider. We perform a survey of viable final states and compare and contrast triple production to Higgs boson pair production. Focussing on the hhh → (bb)(bb)(γγ) final state, we construct a baseline analysis for the Standard Model scenario and simple deformations, demonstrating that the process merits investigation in the high-luminosity phase of the future collider as a new probe of the self-coupling sector of the Higgs boson.

“…Considering SUSY is an attractive possibility because of another important reason. It is well known that the Higgs potential of the SM may have a second high energy minimum at scales above 10 10 GeV [52][53][54][55][56][57]. This 4D minimum is would be in AdS and, if stable, would be again inconsistent with the AdS-phobia condition.…”

Section: Jhep06(2018)051mentioning

confidence: 99%

AdS-phobia, the WGC, the Standard Model and Supersymmetry

Gonzalo

Herráez

Ibáñez

2018

It has been recently argued that an embedding of the SM into a consistent theory of quantum gravity may imply important constraints on the mass of the lightest neutrino and the cosmological constant Λ 4 . The constraints come from imposing the absence of any non-SUSY AdS stable vacua obtained from any consistent compactification of the SM to 3 or 2 dimensions. This condition comes as a corollary of a recent extension of the Weak Gravity Conjecture (WGC) by Ooguri and Vafa. In this paper we study T 2 /Z N compactifications of the SM to two dimensions in which SM Wilson lines are projected out, leading to a considerable simplification. We analyze in detail a T 2 /Z 4 compactification of the SM in which both complex structure and Wilson line scalars are fixed and the potential is only a function of the area of the torus a 2 . We find that the SM is not robust against the appearance of AdS vacua in 2D and hence would be by itself inconsistent with quantum gravity. On the contrary, if the SM is embedded at some scale M SS into a SUSY version like the MSSM, the AdS vacua present in the non-SUSY case disappear or become unstable. This means that WGC arguments favor a SUSY version of the SM, independently of the usual hierarchy problem arguments. In a T 2 /Z 4 compactification in which the orbifold action is embedded into the B − L symmetry the bounds on neutrino masses and the cosmological constant are recovered. This suggests that the MSSM should be extended with a U(1) B−L gauge group. In other families of vacua the spectrum of SUSY particles is further constrained in order to avoid the appearance of new AdS vacua or instabilities. We discuss a possible understanding of the little hierarchy problem in this context.