Regularization at the Next-to-Leading Order in the Top-Mode Standard Model without Gauge Bosons

Cvetič, Gorazd

doi:10.1006/aphy.1996.5658

Cited by 13 publications

(4 citation statements)

References 72 publications

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“…Notice, that the example choices of the parameters of our model considered in the present paper reveal the analogy with the NJL model of QCD [71] because the ultraviolet cutoff entering our expressions remains of the order of the dynamical mass m χ . The situation, when the ultraviolet cutoff is not essentially larger than the value of the dynamical fermion mass is often considered as the condition that the NJL model gives a reasonable approximation to the more fundamental theory [72,73].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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Modified top quark condensation model with the extra heavy fermion, the 125 GeV pseudo-Goldstone boson, and the additional heavy scalar bosons

Khaidukov

Zubkov

2017

Int. J. Mod. Phys. A

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We discuss the modified top quark condensation model proposed in [54]. This construction was inspired by the top -seesaw scenario, in which the extra heavy fermion χ is added that may be paired with the top quark. Besides, this model incorporates the ideas of the Little Higgs scenario, in which the 125 GeV scalar particle appears as a Pseudo -Goldstone boson. This model admits (in addition to the 125 GeV scalar boson H) the heavier scalar excitation H ′ . We consider the region of parameters, where its mass is M H ′ ∼ 1 TeV, the width of H ′ is Γ H ′ ∼ 0.3M H ′ , while the mass of the heavy fermion is mχ ∼ 1 TeV. We find that in this model the value of the cross -section σ pp→H ′ +X→γ+γ+X for √ s = 13 TeV is essentially smaller than the present experimental upper bound. Besides, we find, that for the chosen values of parameters there should exist the CP -even scalar boson with mass ≈ 2mχ and very small width. In addition, the model predicts the existence of the extra neutral CP even scalar boson and the charged scalar boson with masses of the order of 1 TeV.

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Section: Conclusion and Discussionmentioning

confidence: 99%

“…(Again, we use the MSTW2008NLO package.) We also use that 1 TeV 2 ≈ 0.389 10 6 fb (73) and, for example, at M H = 750 GeV we obtain…”

Section: A Partial Widthsmentioning

confidence: 99%

Modified top quark condensation model with the extra heavy fermion, the 125 GeV pseudo-Goldstone boson, and the additional heavy scalar bosons

Khaidukov

Zubkov

2017

Int. J. Mod. Phys. A

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“…Combining eqs. (34) and (35) and using the fact that the matrices g (i) and h (i) are real, it is possible to write the Yukawa couplings in the weak basis, g (i) , h (i) , as a function of the Higgs VEVs, the quark masses, and the basis transformation matrices:…”

Section: Spontaneous Cp Symmetry Breakingmentioning

confidence: 99%

“…In order to study the vacuum of the theory it is very convenient to use the auxiliary field formalism [33,34], especially if one goes beyond the minimal scheme as we do in the next sections. The formalism is also useful for studying next-to-leading order corrections in the 1/N expansion [15,16,35]. 4 Let us introduce a scalar auxiliary field H which possesses the same quantum numbers as the fermion bilinear tR ψ L , i.e., the quantum numbers of the Higgs doublet field in the SM.…”

Section: Minimal Schemementioning

confidence: 99%

SpontaneousCPsymmetry breaking at the electroweak scale

Valenzuela

2005

Phys. Rev. D

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We present a top-condensation model in which the CP symmetry is spontaneously broken at the electroweak scale due to the condensation of two composite Higgs doublets. In particular the CP -violating phase of the CKM matrix is generated. A simpler model where only one quark family is included is also discussed. In this case, for a general four-fermion interaction (G tb = 0), the particle spectrum is the one of the one Higgs doublet model.2 In this case, however, the 1/N expansion is difficult to justify [15,16]. 3 Here we refer to the general case without assuming any discrete symmetry.

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Gauge theory of Lorentz group as a source of the dynamical electroweak symmetry breaking

Zubkov

2013

J. High Energ. Phys.

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We consider the gauge theory of Lorentz group coupled in a nonminimal way to fermions. We suggest the hypothesis that the given theory may exist in the phase with broken chiral symmetry and without confinement. The lattice discretization of the model is described. This unusual strongly coupled theory may appear to be the source of the dynamical electroweak symmetry breaking. Namely, in this theory all existing fermions interact with the SO(3, 1) gauge field. In the absence of the other interactions the chiral condensate may appear and all fermionic excitations may acquire equal masses. Small corrections to the gap equations due to the other interactions may cause the appearance of the observed hierarchy of masses.The scalar excitation recently found at 125 GeV is now interpreted as the Higgs boson [1,2]. The existence of the other Higgs bosons with the same (or, larger) production cross -sections is excluded within the wide ranges of masses approximately from 130 GeV to 550 GeV [3, 4]. However, this does not mean that the existence of scalar particles within these ranges of masses is excluded completely. The particles with smaller values of production cross -sections are allowed. In [5][6][7] it was suggested that such particles may appear. It was supposed that these particles together with the 125 GeV Higgs may be composed of known Standard Model fermions due to the unknown strong interaction between them (with the scale Λ above 1 TeV). This unknown interaction if it exists should have very specific properties that make it different from the conventional technicolor (TC) interactions [8-10] (for a recent alternative to the technicolor see, for example, [11]).First, these interactions cannot be confining since otherwise they would confine quarks and leptons to the extremely small regions of space ∼ 1/Λ, so that all strong and weak interaction physics would be missed. At the same time these interactions should provide the spontaneous chiral symmetry breaking needed to make W and Z bosons massive. Some models with such properties were already discussed in the framework of the topcolor [12, 17-21, 33, 35, 38]. For the review of the conventional technicolor see [22][23][24]38]. The topcolor assisted technicolor (combines both technicolor and topcolor ingredients) was considered in [25][26][27][28][29]. The models based on the extended color sector were considered in [30,31]. For the top -seesaw see [32]. In [5,6,11] the scenario was suggested according to which the chiral condensates appear corresponding to some of the Standard Model fermion fields (not necessarily of the top quark only). This pattern provides both masses for the W, Z bosons and for the fermionic particles.The considerations of [5][6][7] were based on the NJL approximation. Due to the non -renormalizability it is to be considered as the phenomenological model with the finite ultraviolet cutoff

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Regularization at the Next-to-Leading Order in the Top-Mode Standard Model without Gauge Bosons

Cited by 13 publications

References 72 publications

Modified top quark condensation model with the extra heavy fermion, the 125 GeV pseudo-Goldstone boson, and the additional heavy scalar bosons

Modified top quark condensation model with the extra heavy fermion, the 125 GeV pseudo-Goldstone boson, and the additional heavy scalar bosons

SpontaneousCPsymmetry breaking at the electroweak scale

Gauge theory of Lorentz group as a source of the dynamical electroweak symmetry breaking

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