Exact cancellation of quadratic divergences in top condensation models

Blumhofer, Andreas

doi:10.1016/0550-3213(94)00563-t

Cited by 6 publications

(2 citation statements)

References 31 publications

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“…It should be noted that the Eqs. ( 10) and ( 11) do not depend on the choice of a gauge parameter and the cancellation of the quadratic divergences in the tadpole graphs ( [29]) does not give the additional independent conditions [30]. We include only the dominate top and bottom quarks contributions (m D → m b , m U → m t ).…”

Section: Cancellation Of the Quadratic Divergencesmentioning

confidence: 99%

Implication of quadratic divergences cancellation in the two Higgs doublet model

Darvishi

Krawczyk

2018

Nuclear Physics B

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With the aim of exploring the Higgs sector of the Two Higgs Doublet Model (2HDM), we have chosen the exact and soft Z2 symmetry breaking versions of the 2HDM with non-zero vacuum expectation values for both Higgs doublets (Mixed Model). We consider two SM-like scenarios: with 125 GeV h and 125 GeV H. We have applied the condition for cancellation of quadratic divergences in the type II 2HDM in order to derive masses of the heavy scalars. Solutions of two relevant conditions were found in the considered SM-like scenarios. After applying the current LHC data for the observed 125 GeV Higgs boson, the precision electroweak data test and lower limits on the mass of H + , the allowed region of parameters shrink strongly.

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Section: Cancellation Of the Quadratic Divergencesmentioning

confidence: 99%

Implication of quadratic divergences cancellation in the two Higgs doublet model

Darvishi

Krawczyk

2018

Nuclear Physics B

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“…The authors of [14] dealt mainly with the question of renormalizability of the model, i.e., of the viability of the limit Λ → ∞. The related question of whether the quadratic divergences cancel exactly in the TSM has recently been investigated [15], with a goal of selecting Λ ≫ O(TeV).…”

Section: Mass Renormalization Corrections and Conclusionmentioning

confidence: 99%

Condensation effects beyond one loop in the top-mode standard model without gauge bosons

Cvetič¹,

Paschos²,

Vlachos³

1996

Phys. Rev. D

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We study dynamical symmetry breaking in the Standard Model including the next-to-leading order terms. We introduce at a high, but finite, energy scale Λ a top quark condensate H = tt and derive, using path integral methods, the effective potential including quadratic fluctuations in the scalar field H. We neglect the contributions of all components of the massive electroweak gauge bosons. The existence of a non-trivial minimum in the effective potential leads to the condition that the cut-off Λ is limited from above:7m phys. t (for N c = 3), and to a new lower bound for the 4-fermion coupling a = (GN c Λ 2 )/(8π 2 ) > ≈ 1.60. Similar results are obtained if we demand, instead, that the next-to-leading order contributions not shift the location z = (m bare t /Λ) 2 of the minimum drastically, e.g. by not more than a factor of 2. The results are reproduced diagrammatically, where the leading plus all the next-to-leading order diagrams in the 1/N c -expansion are included. Dominant QCD effects are also included, but their impact on the numerical results is shown to be small. PACS number(s): 11.15.Pg, 12.50.Lr

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

Cvetič

1997

Annals of Physics

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We study Higgs condensation H ∼tt in the top-mode standard model at the next-to-leading (NTL) order in 1/N c , by calculating the effective potential as a function of a hard mass term σ 0 of the top quark. We include the effects of the third generation quarks, the Higgs and the Goldstone fields, and the leading QCD effects, but not the effects of the transverse components of the electroweak gauge bosons. The resulting effective theory contains finite energy cutoff parameters (Λ f , Λ b ) for the fermionic and the bosonic degrees of freedom. Condensation is supposed to take place at energies Λ ∼ Λ f ∼ Λ b . The paper describes how to regularize the integrals over the fermionic momenta in a way free of momentum branching ambiguities and how to treat the terms of 1/N c expansion mutually consistently. This is achieved by the proper time approach, employing specifically the proper time cutoff (PTC) or a Pauli-Villars (PV) regulator. For comparison, we use also the covariant spherical (S) cutoff. On the other hand, for the bosonic momenta we have to use the covariant spherical cutoff.We discuss how to ensure the validity of Goldstone theorem. Demanding that the NTL contributions not "wash out" the leading ones, we obtain rather low bounds for the cutoffs: Λ = O(1TeV). The results for the corresponding cases with PTC, PV and S regularization differ only marginally. Thus, in the described framework, 1/N c expansion approach has a predictive power only if Λ = O(1TeV), a result largely independent of the regularization procedure.

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Exact cancellation of quadratic divergences in top condensation models

Cited by 6 publications

References 31 publications

Implication of quadratic divergences cancellation in the two Higgs doublet model

Implication of quadratic divergences cancellation in the two Higgs doublet model

Condensation effects beyond one loop in the top-mode standard model without gauge bosons

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

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