Scalar excitation with Leggett frequency in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>He</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow><mml:mtext>−</mml:mtext><mml:mi mathvariant="normal">B</mml:mi></mml:mrow></mml:math>and the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons

Volovik, G. E.; Zubkov, M. A.

doi:10.1103/physrevd.92.055004

Cited by 12 publications

(34 citation statements)

References 81 publications

(171 reference statements)

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“…It appears, that without the additional ingredients in the model of [54] the value of the cross -section for the process pp → H ′ + X → γγ + X is much smaller than the upper bounds indicated by ATLAS and CMS [3,4]. This means, that this model is in accordance with the present experimental data on the γγ channel.…”

Section: Introductionsupporting

confidence: 85%

“…The paper is organized as follows. In Section II we briefly remind the construction of [54], in which the Pseudo -Goldstone boson composed of top quark and the heavy fermion χ plays the role of the 125 GeV Higgs boson. In Section III we present the effective lagrangian for the decays of the CP -even composite scalar bosons.…”

Section: Introductionmentioning

confidence: 99%

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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: Introductionsupporting

confidence: 85%

Section: Introductionmentioning

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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“…In the other language these two branches correspond respectively to the optical magnon and the light Higgs mode. 25,26 The modes do not interact with each other only at λ = π/2 and at λ = 0. Otherwise, these modes interact producing the observed parametric decay of Bose-Einstein condensate of optical magnons to light Higgs modes, 25 and the repulsion of the levels -the observed avoiding crossing.…”

Section: Pacs Numbersmentioning

confidence: 99%

Polar Phase of Superfluid 3He: Dirac Lines in the Parameter and Momentum Spaces

Volovik

2018

Jetp Lett.

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The time reversal symmetric polar phase of the spin-triplet superfluid 3 He has two types of Dirac nodal lines. In addition to the Dirac loop in the spectrum of the fermionic Bogoliubov quasiparticles in the momentum space (px, py, pz), the spectrum of bosons (magnons) has Dirac loop in the 3D space of parameters -the components of magnetic field (Hx, Hy, Hz). The bosonic Dirac system lives on the border between the type-I and type-II. PACS numbers:Originally the topology of the points and lines of level crossing 1,2 (diabolical points 3,5 ) has been investigated in a parameter space. In particular, while encircling a diabolical point in the space of two parameters, the wavefunction changes sign. [3][4][5] Typically this has been applied to electronic spectrum in molecular systems. Later the topological methods have been applied to the diabolical points in the spectrum of fermionic quasiparticles (Bogoliubov quasipartilces) in gapless superfluids and superconductors, 6 where the parameter space is the space of linear momentum in superfluids and quasimomentum in superconductors, or the extended phase space (p, r). 7-9 In particular, the topologically protected diabolical point in 3D momentum space -the Weyl pointgives rise to Weyl fermions and effective gauge and gravity fields emerging in the vicinity of the Weyl point. [10][11][12] This analog of relativistic quantum field allowed to experimentally verify the Adler-Bell-Jackiw 13,14 equation for chiral anomaly in chiral superfluid 3 He-A. 15 Then this topological consideration has been extended to the spectrum of bosonic excitations, see e.g. [16][17][18][19] .Recently the new trend is towards the topology in the extended space, which combines the momentum space and the parameter space, see e.g. 20 Here we show that the appropriate system, where the two spaces (momentum space and parameter space) are topologically connected, is the polar phase of superfluid 3 He discovered in nematically ordered aerogel. 21 In momentum space the polar phase contains the Dirac nodal line in the quasiparticle spectrum determined by the 2 × 2 Bogoliubov-Nambu Hamiltonian:Here τ a are the Pauli matrices in the Bogoliubov-Nambu space; p F and v F are the Fermi momentum and Fermi velocity in the normal state of liquid 3 He; ∆ P is the gap amplitude in the polar phase;p = p/p;m is the unit vector of uniaxial anisotropy axis provided by the direction of the aerogel strands, and we choose the coordinate systems withẑ =m; we ignore here the spin structure of the order parameter (but later it will be important for the consideration of spin dynamics). The nodal line, where the spectrum of negative energy states touches the spectrum of positive energy states, is ΔΦ= π H x γH = Ω P H z C H y ΔΦ= π p x p = p F p z m C p y FIG. 1: (Color online) Exceptional lines of level crossing analyzed by von Neumann and Wigner 2 in the polar phase of superfluid 3 He. The geometric Berry phase around these lines changes by π. Left: Dirac line in the quasiparticle spectrum in space of the components of momen...

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“…Another implication of the new heavy quarks is that since S-boson is a real scalar [17][18][19][20][21][22][23][24][25][26][27][28][29], below the mass of M χ there can appear an effective gauge-invariant SM operator SB µν B µν with B µ the hypercharge gauge boson (in contrast to the pseudoscalar case, which instead couples to µνρσ B µν B ρσ [30][31][32][33][34][35][36][37]). This naturally implies S → γγ, ZZ, Zγ branchings that are roughly related as 1 : 0.09 : 0.6.…”

Section: Completing the Model: Di-photon Excessmentioning

confidence: 99%

Minimal Coleman-Weinberg theory explains the diphoton excess

2016

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It is possible to delay the hierarchy problem, by replacing the standard Higgs-sector by the Coleman-Weinberg mechanism, and at the same time ensure perturbative naturalness through the so-called Veltman conditions. As we showed in a previous study, minimal models of this type require the introduction of an extra singlet scalar further coupled to new fermions. In this constrained setup the Higgs mass was close to the observed value and the new scalar mass was below a TeV scale. Here we first extend the previous analysis by taking into account the important difference between running mass and pole mass of the scalar states. We then investigate whether these theories can account for the 750 GeV excess in diphotons observed by the LHC collaborations. New QCD-colored fermions in the TeV mass range coupled to the new scalar state are needed to describe the excess. We further show, by explicit computation of the running of the couplings, that the model is under perturbative control till just above the masses of the heaviest states of the theory. We further suggest related testable signatures and thereby show that the LHC experiments can test these models.

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Scalar excitation with Leggett frequency inHe3−Band the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons

Cited by 12 publications

References 81 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

Polar Phase of Superfluid 3He: Dirac Lines in the Parameter and Momentum Spaces

Minimal Coleman-Weinberg theory explains the diphoton excess

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