Maxi-sizing the trilinear Higgs self-coupling: how large could it be?

Luzio, Luca Di; Gröber, Ramona; Spannowsky, Michael

doi:10.1140/epjc/s10052-017-5361-0

Cited by 63 publications

(45 citation statements)

References 100 publications

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“…Our goal is to bound the scale of tree-level unitarity violation associated with deviations from the SM in a completely model-independent way, focusing on the Higgs trilinear. 1 In 1 Previous analyses of the unitarity violation of the Higgs trilinear [39], found that a large trilinear (about seven times the Standard Model value) leads to unitarity violation for the process hh → hh near threshold, but with good behavior at high energies. Any new physics that can unitarize this process should therefore be at low energies and within reach of the LHC.…”

Section: )mentioning

confidence: 99%

The Higgs trilinear coupling and the scale of new physics

Chang

Luty

2020

J. High Energ. Phys.

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We consider modifications of the Higgs potential due to new physics at high energy scales. These upset delicate cancellations predicted by the Standard Model for processes involving Higgs bosons and longitudinal gauge bosons, and lead to a breakdown of the theory at high energies. We focus on modifications of the Higgs trilinear coupling and use the violation of treelevel unitarity as an estimate of the scale where the theory breaks down. We obtain a completely model-independent bound of < ∼ 13 TeV for an order-1 modification of the trilinear. We argue that this bound can be saturated only in fine-tuned models, and the scale of new physics is likely to be much lower. The most stringent bounds are obtained from amplitudes involving multiparticle states that are not conventional scattering states. Our results show that a future determination of the Higgs cubic coupling can point to a well-defined scale of new physics that can be targeted and explored at future colliders.

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Section: )mentioning

confidence: 99%

The Higgs trilinear coupling and the scale of new physics

Chang

Luty

2020

J. High Energ. Phys.

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“…roughly |d 4 | < 16π. The constraint on d 3 could only be set at finite energy and it is only moderately bounded as |d 3 − 1| < 5 [57]. Alternatively, this bound on d 4 can be translated into the bound on the Wilson coefficient c 6 /Λ 2 for the case of SMEFT, which yields Nambu-Goldstone Higgs in 2 → 2 scatterings: When hV L V L couplings (V = W ± , Z) deviate from the SM values, the s-wave unitarity bound from 2 → 2 scatterings could be quite stringent 5 .…”

Section: Tree-level Perturbative Unitaritymentioning

confidence: 99%

Determining the shape of the Higgs potential at future colliders

Agrawal

Saha

et al. 2020

Phys. Rev. D

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Although the Higgs boson has been discovered, its self couplings are poorly constrained. It leaves the nature of the Higgs boson undetermined. Motivated by different Higgs potential scenarios other than the Landau-Ginzburg type in the standard model (SM), we systematically organize various new physics scenarios -elementary Higgs, Nambu-Goldstone Higgs, Coleman-Weinberg Higgs, and Tadpole-induced Higgs, etc. We find that double-Higgs production at the 27 TeV high energy LHC (HE-LHC) can be used to discriminate different Higgs potential scenarios, while it is necessary to use triple-Higgs production at the 100 TeV collider to fully determine the shape of the Higgs potential.• Nambu-Goldstone Higgs, in which the Higgs boson is taken as a pseudo Nambu-Goldstone (PNG) boson [10, 11] emerging from strong dynamics at high scales (see for comprehensive reviews);• Coleman-Weinberg (CW) Higgs, in which EWSB is triggered by renormalization group (RG) running effects [15][16][17] with classical scale invariance;• Tadpole-induced Higgs, in which EWSB is triggered by the Higgs tadpole [18,19], and the Higgs mass parameter is taken to be positive.

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“…Theoretical constraints on c hhh are rather loose if derived in a largely model independent way. Recent work based on general concepts like vacuum stability and perturbative unitarity suggests that |c hhh | 4 for a new physics scale in the few TeV range [18][19][20][21]. More specific models can lead to more stringent bounds, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Exploring anomalous couplings in Higgs boson pair production through shape analysis

Capozi

Heinrich

2020

J. High Energ. Phys.

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We classify shapes of Higgs boson pair invariant mass distributions m hh , calculated at NLO with full top quark mass dependence, and visualise how distinct classes of shapes relate to the underlying coupling parameter space. Our study is based on a five-dimensional parameter space relevant for Higgs boson pair production in a non-linear Effective Field Theory framework. We use two approaches: an analysis based on predefined shape types and a classification into shape clusters based on unsupervised learning. We find that our method based on unsupervised learning is able to capture shape features very well and therefore allows a more detailed study of the impact of anomalous couplings on the m hh shape compared to more conventional approaches to a shape analysis.

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Maxi-sizing the trilinear Higgs self-coupling: how large could it be?

Cited by 63 publications

References 100 publications

The Higgs trilinear coupling and the scale of new physics

The Higgs trilinear coupling and the scale of new physics

Determining the shape of the Higgs potential at future colliders

Exploring anomalous couplings in Higgs boson pair production through shape analysis

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