A study of the charged scalar in the Zee model

McLaughlin, G. C.; Ng, John N.

doi:10.1016/s0370-2693(99)00490-6

Cited by 18 publications

(15 citation statements)

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“…could possibly evade bounds on the "just so" ν e ν s vacuum mixing solution stemming from the SuperK and the Chlorine Experiments [23].) In our overall mass scheme ν µ and ν τ could share the role of providing a hot dark matter component [24].…”

Section: Active-active Neutrino Transformationmentioning

confidence: 92%

Sterile neutrinos and supernova nucleosynthesis

2000

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A light sterile neutrino species has been introduced to explain simultaneously the solar and atmospheric neutrino puzzles and the results of the LSND experiment, while providing for a hot component of dark matter. Employing this scheme of neutrino masses and mixings, we show how matter-enhanced active-sterile (ν µ,τ ν s ) neutrino transformation followed by active-active (ν µ,τ ν e ) neutrino transformation can solve robustly the neutron deficit problem encountered by models of r-process nucleosynthesis associated with neutrino-heated supernova ejecta.

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Section: Active-active Neutrino Transformationmentioning

confidence: 92%

Sterile neutrinos and supernova nucleosynthesis

2000

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“…Recent fits to neutrino data [19][20][21][22] suggest some type of bimaximal mixing which can be accommodated naturally in this type of models [23][24][25][26]. This observation has boosted again the interest of models with Zee type neutrino matrix [27][28][29][30][31][32][33].In the same way that a variety of see-saw mechanism models can be described as a single effective operator it would be interesting to see if this class of models and perhaps other type of models with two light doublets can be described at low energies with just a few operators.We will assume that the low energy (Fermi scale) theory is just the SM model, with no right-handed neutrinos, supplemented by an additional doublet. We will denote the two doublets as ϕ 1 and ϕ 2 .…”

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confidence: 99%

Neutrino masses from operator mixing

Oliver

Santamaría

2002

Phys. Rev. D

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We show that in theories that reduce, at the Fermi scale, to an extension of the standard model with two doublets, there can be additional dimension five operators giving rise to neutrino masses. In particular there exists a singlet operator which can not generate neutrino masses at tree level but generates them through operator mixing. Under the assumption that only this operator appears at tree level we calculate the neutrino mass matrix. It has the Zee mass matrix structure and leads naturally to bimaximal mixing. However, the maximal mixing prediction for solar neutrinos is very sharp even when higher order corrections are considered. To allow for deviations from maximal mixing a fine tuning is needed in the neutrino mass matrix parameters. However, this fine tuning relates the departure from maximal mixing in solar neutrino oscillations with the neutrinoless double beta decay rate.PACS numbers: 14.60. Pq, 14.60.St, 14.80.Cp, 12.60.Fr The simplest model for neutrino masses is based on the seesaw mechanism [1][2][3]. In the seesaw mechanism the standard model (SM) is enlarged with singlet right-handed neutrinos. Then, a Dirac mass term, M D , mixing left-handed and right-handed neutrinos is possible. In addition, since right-handed neutrinos do not carry any gauge charge, they can have a Majorana mass, M R , without compromising the gauge symmetry. If the right-handed Majorana mass term is very large, as expected for a singlet mass term, very light Majorana neutrino masses for left-handed neutrinos are obtained through the diagonalization of the full mass matrix of neutral fermions, m ν = M 2 D /M R , thus justifying the small size of neutrino masses. Since the Dirac mass term is proportional to the standard Higgs vacuum expectation value, this mechanism provides masses which are m ν ≈ Λ 2 F /Λ, being Λ F the Fermi scale and Λ the lepton number breaking scale. This type of behaviour is much more general and, in fact, many neutrino mass models can be cast into this form. This can be understood in the following way: if the SM is just the low energy effective manifestation of some underlying theory, the effects of new physics can be represented by a series of gauge invariant operators 1 containing the SM fields with higher dimension operators suppressed by powers of the scale of new physics [4][5][6]. At low energies, the most relevant operators will be those with the lowest dimension, that is dimension five operators. One can easily see that there is only one gauge invariant operator of dimension five one can build with the field content of the standard model [5]where ℓ is the standard left-handed doublet of leptons, ℓ = iτ 2 ℓ c , ℓ c = Cℓ T ( C is the charge conjugation operator), ϕ is the Higgs doublet and ϕ = iτ 2 ϕ * , τ are the Pauli matrices in SU(2) space, F is a complex symmetric matrix in flavour space (SU(2) and flavour indices have been suppressed) and Λ is a scale related to the scale of new physics. It is clear that this Lagrangian does not conserve generational lepton numbers, but in a...

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“…The crucial ingredient is a lepton flavor changing SU(2) singlet scalar with U(1) hypercharge Y=2. It is straight forward to include a light SM neutrino in the model [3,4], so as to accommodate all of the anomalous neutrino data. We observe that now this light singlet neutrino now has an interaction with a strength determined by the mass of the Zee scalar and its Yukawa couplings to the SM leptons.…”

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confidence: 99%

“…The coupling constant |f 12 | 2 is constrained by the measurements of the lifetime of the muon to be |f 12 | 2 /( M h 100GeV ) 2 < .0015 (see [4]). Therefore, δ < .002.…”

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Singlet interacting neutrinos in the extended Zee model and solar neutrino transformation

McLaughlin

1999

Physics Letters B

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We study the impact of Standard Model singlet neutrinos on neutrino flavor transformation. We focus on an extension of the Zee model which includes singlet neutrinos, and find that the best limits on the interactions of the singlet neutrinos come from astrophysical phenomena. Singlet neutrino-electron scattering will impact both the mattter enhanced flavor transformation potential as well as detector cross sections. If electron neutrino -singlet neutrino oscillations are responsible for the solar neutrino anomaly, then the limit on the singlet neutrino interaction strength is of order of the weak interaction scale. Zee model modification of ν τ − e scattering also impacts solar neutrino transformation, although this interaction is more tightly constrained.PACS: 13.15+g, 12.60-i, 26.5+t 1 email gail@lin04.triumf.ca 2

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A study of the charged scalar in the Zee model

Cited by 18 publications

References 19 publications

Sterile neutrinos and supernova nucleosynthesis

Sterile neutrinos and supernova nucleosynthesis

Neutrino masses from operator mixing

Singlet interacting neutrinos in the extended Zee model and solar neutrino transformation

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