Horizontal Symmetry and Masses of Neutrinos

Yanagida, Tsutomu T.

doi:10.1143/ptp.64.1103

Cited by 1,028 publications

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“…This entails several unusual features; for instance, the fact that our 'axion' cannot be assigned a definite parity, unlike the standard axion of [11,12]. The crucial ingredient here is the maximal neutrino mixing in (16), which mediates the axionic couplings (20) and (21). Without such a neutrino mediation the latter couplings would simply be absent if the lepton number symmetry U(1) L is non-anomalous [26].…”

Section: Discussionmentioning

confidence: 99%

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Neutrinos, axions and conformal symmetry

Meissner

Nicolai

2008

Eur. Phys. J. C

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We demonstrate that radiative breaking of conformal symmetry (and simultaneously electroweak symmetry) in the standard model with right-chiral neutrinos and a minimally enlarged scalar sector induces spontaneous breaking of lepton number symmetry, which naturally gives rise to an axion-like particle with some unusual features. The couplings of this 'axion' to standard model particles, in particular photons and gluons, are entirely determined (and computable) via the conformal anomaly, and their smallness turns out to be directly related to the smallness of the masses of the light neutrinos.

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Section: Discussionmentioning

confidence: 99%

“…Rather than diagonalize the fields with respect to these mass terms, we prefer to work with non-diagonal propagators, leaving the fields as they are in the interaction vertices. The poles of the propagators are obtained via the standard seesaw formula [19][20][21] …”

Section: The Relevant (Free) Part Of the Lagrangian Readsmentioning

confidence: 99%

Neutrinos, axions and conformal symmetry

Meissner

Nicolai

2008

Eur. Phys. J. C

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“…The coupling constant y N is expected to be order unity for the heaviest ν R . Then the B−L breaking scale ϕ min is estimated to be about 10 15 GeV, close to the GUT scale, using the seesaw formula [6].…”

Section: Set-up and Inflaton Dynamicsmentioning

confidence: 99%

“…V 0 is determined by requiring the vanishing cosmological constant at the true vacuum, see (7). Instead of λ, we prefer to use the physically relevant quantity ϕ min , which is the B−L breaking scale, given by (6). The WMAP normalization condition (17) then fixes the value of κ.…”

Section: Set-up and Inflaton Dynamicsmentioning

confidence: 99%

Low-scale supersymmetry from inflation

Nakayama

Takahashi

2011

J. Cosmol. Astropart. Phys.

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We investigate an inflation model with the inflaton being identified with a Higgs boson responsible for the breaking of U(1) B−L symmetry. We show that supersymmetry must remain a good symmetry at scales one order of magnitude below the inflation scale, in order for the inflation model to solve the horizon and flatness problems, as well as to account for the observed density perturbation. The upper bound on the soft supersymmetry breaking mass lies between 1 TeV and 10 3 TeV. Interestingly, our finding opens up a possibility that universes with the low-scale supersymmetry are realized by the inflationary selection. Our inflation model has rich implications; non-thermal leptogenesis naturally works, and the gravitino and moduli problems as well as the moduli destabilization problem can be solved or ameliorated; the standard-model higgs boson receives a sizable radiative correction if the supersymmertry breaking takes a value on the high side ∼ 10 3 TeV.

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“…The theoretical framework is the minimal extension of the standard model (SM), namely, SM + right-handed neutrinos + gauged U(1) B−L . The small but non-zero neutrino masses can be explained beautifully by the seesaw mechanism [3], if there are heavy right-handed neutrinos. With the addition of the three right-handed neutrinos, it is reasonable to introduce the U(1) B−L gauge symmetry, because it is required by the charge quantization condition and is also motivated by the GUT gauge group such as SO (10).…”

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confidence: 99%

Higgs mass and inflation

Nakayama

Takahashi

2012

Physics Letters B

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We show that the standard-model Higgs boson mass m h is correlated with the spectral index of density perturbation n s in the inflation scenario with the inflaton being identified with the B−L Higgs boson. The Higgs boson mass ranges from m h ≃ 120 GeV to 140 GeV for n s ≃ 0.95 − 0.96. In particular, as n s approaches to 0.96, the Higgs mass is predicted to be in the range of 125 GeV to 140 GeV in the case of relatively light gauginos, and 120 GeV to 135 GeV in the case where all SUSY particle masses are of the same order. This will be tested soon by the LHC experiment and the Planck satellite. The relation is due to the PeV-scale supersymmetry required by the inflationary dynamics. We also comment on the cosmological implications of our scenario such as non-thermal leptogenesis and dark matter.

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Horizontal Symmetry and Masses of Neutrinos

Cited by 1,028 publications

References 0 publications

Neutrinos, axions and conformal symmetry

Neutrinos, axions and conformal symmetry

Low-scale supersymmetry from inflation

Higgs mass and inflation

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