Realistic neutrino masses from multi-brane extensions of the Randall-Sundrum model?

Moreau, G.

doi:10.1140/epjc/s2005-02165-5

Cited by 35 publications

(18 citation statements)

References 119 publications

(164 reference statements)

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“…Inserting Eq. (3.5) into the 5D field relations (3.3) and using the following twocomponent Weyl equations for the 4D fermions (issued from the four-component Dirac equation) 16 ,…”

Section: The Naive Approachmentioning

confidence: 99%

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Beyond brane-Higgs regularization: Clarifying the method and model

et al. 2020

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The attractive class of higher-dimensional scenarios, based on a brane-localised Higgs boson coupled to bulk fermions, can address both the puzzle of the structure of the flavour space and the gauge hierarchy problem. In this framework, a key question arises due to the possibility of fermion wave function discontinuities at the Higgs boundary: how to build rigorously the Lagrangian and calculate the fermion mass spectrum as well as the effective four-dimensional (4D) Yukawa couplings? We show that the proper treatment, leading to physically consistent solutions, does not rely on any Higgs peak regularisation but requires the presence of certain bilinear brane terms. In particular, no profile jump should appear and the Higgs regularisations turn out to suffer from mathematical discrepancies reflected in two non-commutativities of calculation steps debated in the literature. The introduction of bilinear brane terms can alternatively by replaced by vanishing conditions for probability currents at the considered flat interval boundaries. Indeed, both contribute to the definition of the field geometrical configuration of the model, even in the free case. The bilinear brane terms could allow to elaborate an ultra-violet origin of the chiral nature of the Standard Model and of its chirality distribution among quarks/leptons. The current conditions are implemented through essential boundary conditions to be contrasted with the natural boundary conditions derived from the action variation. All these theoretical conclusions are confirmed in particular by the converging exact results of the 4D versus 5D approaches. The analysis is completed by a description of the appropriate energy cut-off procedure in the present context. The new calculation methods presented, implying the independence of excited fermion masses and 4D Yukawa couplings on the 'wrong-chirality' Yukawa terms, have impacts on phenomenological results like the relaxing of previously obtained strong bounds on Kaluza-Klein masses induced by flavour changing reactions generated via tree-level exchanges of the Higgs field.

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“…Inserting Eq. (3.5) into the 5D field relations (3.3) and using the following twocomponent Weyl equations for the 4D fermions (issued from the four-component Dirac equation) 16 ,…”

Section: The Naive Approachmentioning

confidence: 99%

“…15 Not yet the mass eigenstate in case of Yukawa interactions. 16 Within the natural unit system. 17 Also mass eigenvalues in absence of Yukawa interactions.…”

Section: The Naive Approachmentioning

confidence: 99%

Beyond brane-Higgs regularization: Clarifying the method and model

et al. 2020

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“…e.g. several frameworks explain the lightness of neutrinos relatively to other SM fermions within the ADD [22], the RS [23,24] or RS extensions [25].…”

Section: Jhep03(2007)113mentioning

confidence: 99%

Successful Yukawa structures in warped extra dimensions

Silva-Marcos

2007

J. High Energy Phys.

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For a RS model, with SM fields in the bulk and the Higgs boson on the TeV-brane, we suggest two specific structures for the Yukawa couplings, one based on a permutation symmetry and the other on the Universal Strength of Yukawa couplings hypothesis (USY). In USY, all Yukawa couplings have equal strength and the difference in the Yukawa structure lies in some complex phase. In both scenarios, all Yukawa couplings are of the same order of magnitude. Thus, the main features of the fermion hierarchies are explained through the RS geometrical mechanism, and not because some Yukawa coupling is extremely small. We find that the RS model is particularly appropriate to incorporate the suggested Yukawa configurations. Indeed, the RS geometrical mechanism of fermion locations along the extra dimension, combined with the two Yukawa scenarios, reproduces all the present experimental data on fermion masses and mixing angles. It is quite remarkable that in the USY case, only two complex phases of definite value ± π 2 are sufficient to generate the known neutrino mass differences, while at same time, permitting large leptonic mixing in agreement with experiment.

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“…For instance, it is well known that sub-mm sized extra dimensions would allow for a measurable conversion of the active neutrinos in higher-dimensional neutrino oscillations [17]- [22]. Therefore, if discrete gravitational or non-gravitational large extra dimensions exhibit a cutoff Λ max ∼ R −1 ∼ (mm) −1 , one could study with neutrino oscillations the finite discretization effects of few site models far away from the continuum limit.…”

Section: Jhep02(2005)049mentioning

confidence: 99%

Neutrino Oscillations in Deconstructed Dimensions

Hällgren

Ohlsson

Seidl

2005

J. High Energy Phys.

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We present a model for neutrino oscillations in the presence of a deconstructed nongravitational large extra dimension compactified on the boundary of a two-dimensional disk. In the deconstructed phase, sub-mm lattice spacings are generated from the hierarchy of energy scales between ∼ 1 TeV and the usual B − L breaking scale ∼ 10 15 GeV. Here, small short-distance cutoffs down to ∼ 1 eV can be motivated by the strong coupling behavior of gravity in local discrete extra dimensions. This could make it possible to probe the discretization of extra dimensions and non-trivial field configurations in theory spaces which have only a few sites, i.e., for coarse latticizations. Thus, the model has relevance to present and future precision neutrino oscillation experiments.

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Realistic neutrino masses from multi-brane extensions of the Randall-Sundrum model?

Cited by 35 publications

References 119 publications

Beyond brane-Higgs regularization: Clarifying the method and model

Beyond brane-Higgs regularization: Clarifying the method and model

Successful Yukawa structures in warped extra dimensions

Neutrino Oscillations in Deconstructed Dimensions

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