The Higgs as a pseudo-Goldstone boson

Georgi, Howard

doi:10.1016/j.crhy.2006.12.003

Cited by 8 publications

(15 citation statements)

References 93 publications

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“…This interpretation is now excluded since the Higgs was found to be light and narrow [1,2]. However, it was also proposed in the 1980's that the Higgs boson could be a pseudo-Nambu-Goldstone (pNGB) composite state from the spontaneous breaking of a global symmetry [3][4][5][6] (for a nice review, see [7]). The study of effective theories of this sort eventually led to what is generically known as composite Higgs (CH) models.…”

Section: Introductionmentioning

confidence: 99%

The dynamical composite Higgs

Gersdorff¹,

Pontón²,

Rosenfeld³

2015

J. High Energ. Phys.

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We present a simple microscopic realization of a pseudo-Nambu-Goldstone (pNGB) boson Higgs scenario arising from the breaking of SO(5) → SO(4). The Higgs constituents are explicitly identified as well as the interactions responsible for forming the bound state and breaking the electroweak symmetry. This outcome follows from the presence of four-fermion interactions with a super-critical coupling, and uses the NambuJona-Lasinio mechanism to break the global SO(5) symmetry. The Higgs potential is found to be insensitive to high energy scales due to the existence of an approximate infrared fixed point. The appearance of vector resonances is described and the correspondence with other proposals in the literature established. The model described here is significantly simpler than other recent ultraviolet completions of pNGB scenarios. The observed Higgs mass can be accommodated, and agreement with electroweak precision tests achieved in certain regions of parameter space. There are also new vector-like fermions, some of which may lie within reach of the LHC. In addition, we predict a heavy standard model singlet scalar in the multi-TeV range. The amount of fine-tuning required in the model is studied. Finally, we show that such a scheme can be completed in the ultraviolet by a renormalizable theory.

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Section: Introductionmentioning

confidence: 99%

The dynamical composite Higgs

Gersdorff¹,

Pontón²,

Rosenfeld³

2015

J. High Energ. Phys.

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“…Models that involve a new strong interaction can address the hierarchy problem and can also generate the EW scale through dimensional transmutation and are more compelling. The possibility that a light higgs is a composite particle whose constituents are bound by a new interaction that goes strong at a scale ∼ 1 TeV has been extensively studied; for a review see [5]. In most of these models the higgs mass remains small compared to the scale of the new strong interactions because it is a pseudo-Goldstone boson of a global symmetry broken only weakly (typically by the EW and yukawa interactions in the SM).…”

Section: Model Particularsmentioning

confidence: 99%

“…* bgrinstein@physics.ucsd.edu † mrtrott@physics.ucsd.edu 1 The Higgs is generally an exact goldstone boson in the new sector and receives its mass and self couplings from SM corrections in interesting models of this form. For a recent review of the physics of pseudo-goldstone Higgs models see [5].…”

Section: Introductionmentioning

confidence: 99%

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Electroweak baryogenesis with a pseudo-Goldstone Higgs boson

Grinstein

Trott

2008

Phys. Rev. D

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We examine the nature of electroweak Baryogenesis when the Higgs boson's properties are modified by the effects of new physics. We utilize the effective potential to one loop (ring improving the finite temperature perturbative expansion) while retaining parametrically enhanced dimension six operators of O(v 2 /f 2 ) in the Higgs sector. These parametrically enhanced operators would be present if the Higgs is a pseudo-goldstone boson of a new physics sector with a characteristic mass scale Λ ∼ TeV, a coupling constant 4 π ≥ g ≥ 1 and a strong decay constant scale f = Λ/g. We find that generically the effect of new physics of this form allows a sufficiently first order electro-weak phase transition so that the produced Baryon number can avoid washing out, and has enhanced effects due to new sources CP violation. We also improve the description of the electroweak phase transition in perturbation theory by determining the thermal mass eigenstate basis of the standard model gauge boson fields. This improves the calculation of the finite temperature effects through incorporating mixing in the determination of the vector boson thermal masses of the standard model. These effects are essential to determining the nature of the phase transition in the standard model and are of interest in our Pseudo-Goldstone Baryogenesis scenario.

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“…[2][3][4]). What is meant by "small" is that the Higgs mass can be made arbitrarily small compared to the scale of breaking of the symmetry that gives rise to this Goldstone boson.…”

Section: Introductionmentioning

confidence: 99%

One loop renormalization of the Littlest Higgs model

Grinstein

Kelley

Uttayarat

2011

J. High Energ. Phys.

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Abstract:In Little Higgs models a collective symmetry prevents the Higgs from acquiring a quadratically divergent mass at one loop. This collective symmetry is broken by weakly gauged interactions. Terms, like Yukawa couplings, that display collective symmetry in the bare Lagrangian are generically renormalized into a sum of terms that do not respect the collective symmetry except possibly at one renormalization point where the couplings are related so that the symmetry is restored. We study here the one loop renormalization of a prototypical example, the Littlest Higgs Model. Some features of the renormalization of this model are novel, unfamiliar form similar chiral Lagrangian studies.

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The Higgs as a pseudo-Goldstone boson

Cited by 8 publications

References 93 publications

The dynamical composite Higgs

The dynamical composite Higgs

Electroweak baryogenesis with a pseudo-Goldstone Higgs boson

One loop renormalization of the Littlest Higgs model

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