Neutrino mass through concomitant breakdown of the U(1) chiral and scale symmetries

Dias, Alex G.

doi:10.1103/physrevd.73.096002

Cited by 12 publications

(7 citation statements)

References 23 publications

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“…Substituting the expansion (4) in (8) we find, at the leading order (terms proportional to n L nÀ2 ), À @ @L þ ð2Þ @ @ S LL eff ðÞ ¼ 0:…”

Section: General Considerationsmentioning

confidence: 99%

“…An important example where the RGE have dramatically improved the information obtained in the loop approximation is in the analysis of the effective potential for the standard model with conformal invariance: from the standard one-loop approximation, the effective action of the model does not seems to be stable, but with the more precise approximation obtained using the RGE, one discovers it actually is [4]. For other examples see [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Renormalization group and conformal symmetry breaking in the Chern-Simons theory coupled to matter

Dias

Ferrari

2010

Phys. Rev. D

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The three-dimensional Abelian Chern-Simons theory coupled to a scalar and a fermionic field of arbitrary charge is considered in order to study conformal symmetry breakdown and the effective potential stability. We present an improved effective potential computation based on two-loop calculations and the renormalization group equation: The latter allows us to sum up series of terms in the effective potential where the power of the logarithms are one, two, and three units smaller than the total power of coupling constants (i.e., leading, next-to-leading, and next-to-next-to-leading logarithms). For the sake of this computation we determined the beta function of the fermion-fermion-scalar-scalar interaction and the anomalous dimension of the scalar field. We show that the improved effective potential provides a much more precise determination of the properties of the theory in the broken phase, compared to the standard effective potential obtained directly from the loop calculations. This happens because the region of the parameter space where dynamical symmetry breaking occurs is drastically reduced by the improvement discussed here.

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“…Substituting the expansion (4) in (8) we find, at the leading order (terms proportional to n L nÀ2 ), À @ @L þ ð2Þ @ @ S LL eff ðÞ ¼ 0:…”

Section: General Considerationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Renormalization group and conformal symmetry breaking in the Chern-Simons theory coupled to matter

Dias

Ferrari

2010

Phys. Rev. D

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“…Up to v/v S corrections, at low scale the model is just the ν2HDM discussed in Ref [9]. with a very weakly coupled axion 6. For reviews of the strong CP problem and axions see e.g.Refs [17][18][19][20][21]…”

mentioning

confidence: 99%

Technically natural nonsupersymmetric model of neutrino masses, baryogenesis, the strongCPproblem, and dark matter

Clarke

Volkas

2016

Phys. Rev. D

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We describe a minimal extension of the standard model by three right-handed neutrinos, a scalar doublet, and a scalar singlet (the "νDFSZ") which serves as an existence proof that weakly coupled high-scale physics can naturally explain phenomenological shortcomings of the SM. The νDFSZ can explain neutrino masses, baryogenesis, the strong CP problem, and dark matter, and remains calculably natural despite a hierarchy of scales up to ∼ 10 11 GeV. It predicts a SM-like Higgs boson, (maximally) TeV-scale scalar states, intermediate-scale hierarchical leptogenesis (10 5 GeV MN 10 7 GeV), and axionic dark matter.

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“…At the same time, the required extension of the scalar sector improves on the stability of the SM vacuum. We do not require additional fermions (recent proposals that include righthanded neutrinos in connection with an invisible axion were presented in [50][51][52][53][54][55], while an extensive list of studies on the subject is found in [1]).…”

Section: Discussionmentioning

confidence: 99%

Neutrino-axion-dilaton interconnection

et al. 2016

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We show that a recently proposed framework that provides a simple connection between Majorana neutrinos and an invisible axion in minimal scalar extensions of the standard electroweak model can be naturally embedded in a classically scale-invariant setup. The explicit breaking of the scale invarianceà la Coleman-Weinberg generates the Peccei-Quinn and electroweak scales. The spontaneous breaking of the chiral U (1)P Q triggers the generation of neutrino masses via Type-II seesaw and, at the same time, provides a dynamical solution to the strong CP problem as well as the axion as a dark matter candidate. The electroweak and neutrino mass scales are obtained via a technically natural ultraweak limit of the singlet scalar interactions. Accordingly, a realistic and perturbatively stable scalar spectrum, possibly in the reach of the LHC, is naturally obtained. A very light pseudodilaton characterizes such a setting. The vacuum stability of the extended setup is discussed.

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Neutrino mass through concomitant breakdown of the U(1) chiral and scale symmetries

Cited by 12 publications

References 23 publications

Renormalization group and conformal symmetry breaking in the Chern-Simons theory coupled to matter

Renormalization group and conformal symmetry breaking in the Chern-Simons theory coupled to matter

Technically natural nonsupersymmetric model of neutrino masses, baryogenesis, the strongCPproblem, and dark matter

Neutrino-axion-dilaton interconnection

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