Classically conformal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>extended standard model and Higgs vacuum stability

Oda, S.; Okada, Nobuchika; Takahashi, Daisuke

doi:10.1103/physrevd.92.015026

Cited by 82 publications

(64 citation statements)

References 44 publications

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“…In essence, with extended scalar, gauge and flavour sectors, it is natural to ask whether the vacuum of the this class of models is in a stable configuration both at the classical and at the quantum level and what is the impact of the new physics on the SM EW ground state [20,21,[31][32][33][34][35][36][37][38][39]. Indeed, the extrapolation of the SM to high energy scales, through the RG equations, exhibits a scalar potential with a non-trivial structure: its minimum does not correspond to the EW vacuum which is found to be in a metastable configuration, very close to a phase transition [40,41].…”

Section: Jhep07(2016)086mentioning

confidence: 99%

Z ′, Higgses and heavy neutrinos in U(1)′ models: from the LHC to the GUT scale

Accomando

Corianò

Rose

et al. 2016

J. High Energ. Phys.

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We study a class of non-exotic minimal U(1) extensions of the Standard Model, which includes all scenarios that are anomaly-free with the ordinary fermion content augmented by one Right-Handed neutrino per generation, wherein the new Abelian gauge group is spontaneously broken by the non-zero Vacuum Expectation Value of an additional Higgs singlet field, in turn providing mass to a Z state. By adopting the B − L example, whose results can be recast into those pertaining to the whole aforementioned class, and allowing for both scalar and gauge mixing, we first extract the surviving parameter space in presence of up-to-date theoretical and experimental constraints. Over the corresponding parameter configurations, we then delineate the high energy behaviour of such constructs in terms of their stability and perturbativity. Finally, we highlight key production and decay channels of the new states entering the spectra of this class of models, i.e., heavy neutrinos, a second Higgs state and the Z , which are amenable to experimental investigation at the Large Hadron Collider. We therefore set the stage to establish a direct link between measurements obtainable at the Electro-Weak scale and the dynamics of the underlying model up to those where a Grand Unification Theory embedding a U(1) can be realised.

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Section: Jhep07(2016)086mentioning

confidence: 99%

Z ′, Higgses and heavy neutrinos in U(1)′ models: from the LHC to the GUT scale

Accomando

Corianò

Rose

et al. 2016

J. High Energ. Phys.

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“…In our U(1) ′ extended SM, however, there is a parameter region to solve this electroweak vacuum instability problem [13,14]. 5 There are only three free parameters in our model, x H , v φ , and g X , which are also interpreted as x H , m Z ′ , and α g X = g 2 X /(4π).…”

Section: Solving the Electroweak Vacuum Instabilitymentioning

confidence: 99%

“…Another example is (x H , x Φ ) = (−1, 2), which corresponds to the SM with the so-called U(1) R symmetry. When we choose (x H , x Φ ) = (−16/41, 2), the beta function of g X1 (g 1X ) at the 1-loop level has only terms proportional to g X1 (g 1X ) [13]. This is the orthogonal condition between the U(1) Y and U(1) ′ at the 1-loop level, under which g X1 and g 1X do not evolve once we have set g X1 = g 1X = 0 at an energy scale.…”

Section: The Modelmentioning

confidence: 99%

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Right-handed neutrino dark matter in the classically conformal U(1)′ extended standard model

2017

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We consider the dark matter (DM) scenario in the context of the classically conformal U(1) ′ extended standard model (SM), with three right-handed neutrinos (RHNs) and the U(1) ′ Higgs field. The model is free from all the U(1) ′ gauge and gravitational anomalies in the presence of the three RHNs. We introduce a Z 2 -parity in the model, under which an odd-parity is assigned to one RHN, while all the other particles is assigned to be Z 2 -even, and hence the Z 2 -odd RHN serves as a DM candidate. In this model, the U(1) ′ gauge symmetry is radiatively broken through the Coleman-Weinberg mechanism, by which the electroweak symmetry breaking is triggered. There are three free parameters in our model, the U(1) ′ charge of the SM Higgs doublet (x H ), the new U(1) ′ gauge coupling (g X ), and the U(1) ′ gauge boson (Z ′ ) mass (m Z ′ ), which are severely constrained in order to solve the electroweak vacuum instability problem, and satisfy the LHC Run-2 bounds from the search for Z ′ boson resonance. In addition to these constraints, we investigate the RHN DM physics. Because of the nature of classical conformality, we find that a RHN DM pair mainly annihilates into the SM particles through the Z ′ boson exchange. This is the socalled Z ′ -portal DM scenario. Combining the electroweak vacuum stability condition, the LHC Run-2 bounds, and the cosmological constraint from the observed DM relic density, we find that all constrains complementarily work to narrow down the allowed parameter regions, and, especially, exclude m Z ′ 3.5 TeV. For the obtained allowed regions, we calculate the spin-independent cross section of the RHN DM with nucleons. We find that the resultant cross section well below the current experimental upper bounds.

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“…See Appendix in Ref. [30] for a complete list. The RG equations for the gauge couplings at the one-loop level are given by …”

Section: A Rg Equations In the Minimal U(1) X Modelmentioning

confidence: 99%

Inflection-point inflation in a hyper-charge oriented U(1)X model

Okada

Raut

2017

Phys. Rev. D

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Inflection-point inflation is an interesting possibility to realize a successful slow-roll inflation when inflation is driven by a single scalar field with its value during inflation below the Planck mass (φ I M P l ). In order for a renormalization group (RG) improved effective λφ 4 potential to develop an inflection-point, the running quartic coupling λ(φ) must exhibit a minimum with an almost vanishing value in its RG evolution, namely λ(φ I ) ≃ 0 and β λ (φ I ) ≃ 0, where β λ is the beta-function of the quartic coupling. In this paper, we consider the inflection-point inflation in the context of the minimal U(1) X extended Standard Model (SM), a generalization of the minimal U(1) B−L model, where the U(1) X symmetry is realized as a linear combination of the SM U(1) Y and the U(1) B−L gauge symmetries. We identify the U(1) X Higgs field with the inflaton field. For a successful inflection-point inflation to be consistent with the current cosmological observations, the mass ratios among the U(1) X gauge boson, the right-handed neutrinos and the U(1) X Higgs boson are fixed. Focusing on the case that the U(1) X gauge symmetry is mostly oriented towards the SM U(1) Y direction, we investigate a consistency between the inflationary predictions and the latest LHC Run-2 results on the search for a narrow resonance with the di-lepton final state. In addition, the inflection-point inflation provides a unique prediction for the running of the spectral index α ≃ −2.7 × 10 −3 60 N 2 (N is the e-folding number), which can be tested in the near future.

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Classically conformalU(1)′extended standard model and Higgs vacuum stability

Cited by 82 publications

References 44 publications

Z ′, Higgses and heavy neutrinos in U(1)′ models: from the LHC to the GUT scale

Z ′, Higgses and heavy neutrinos in U(1)′ models: from the LHC to the GUT scale

Right-handed neutrino dark matter in the classically conformal U(1)′ extended standard model

Inflection-point inflation in a hyper-charge oriented U(1)X model

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