A three-loop neutrino model with global <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> symmetry

Hatanaka, Hisaki; Nishiwaki, Kenji; Okada, Hiroshi; Orikasa, Yuta

doi:10.1016/j.nuclphysb.2015.03.006

Cited by 39 publications

(9 citation statements)

References 88 publications

(44 reference statements)

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“…[380] induces operator O RR , the model of Ref. [379] leads to operator O 9 . Finally, the fermionic cocktail topology 11d is used in the models of Refs.…”

Section: Cocktail Modelsmentioning

confidence: 99%

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From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

et al. 2017

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A plausible explanation for the lightness of neutrino masses is that neutrinos are massless at tree level, with their mass (typically Majorana) being generated radiatively at one or more loops. The new couplings, together with the suppression coming from the loop factors, imply that the new degrees of freedom cannot be too heavy (they are typically at the TeV scale). Therefore, in these models there are no large mass hierarchies and they can be tested using different searches, making their detailed phenomenological study very appealing. In particular, the new particles can be searched for at colliders and generically induce signals in lepton-flavor and lepton-number violating processes (in the case of Majorana neutrinos), which are not independent from reproducing correctly the neutrino masses and mixings. The main focus of the review is on Majorana neutrinos. We order the allowed theory space from three different perspectives: (i) using an effective operator approach to lepton number violation, (ii) by the number of loops at which the Weinberg operator is generated, (iii) within a given loop order, by the possible irreducible topologies. We also discuss in more detail some popular radiative models which involve qualitatively different features, revisiting their most important phenomenological implications. Finally, we list some promising avenues to pursue.

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“…[380] induces operator O RR , the model of Ref. [379] leads to operator O 9 . Finally, the fermionic cocktail topology 11d is used in the models of Refs.…”

Section: Cocktail Modelsmentioning

confidence: 99%

“…The models in Refs. [379,380] are based on the same topology, but with W bosons replaced by scalars. While Ref.…”

Section: Cocktail Modelsmentioning

confidence: 99%

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

et al. 2017

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“…After that, many progresses and variations were made, which are reviewed in, for instance, [24][25][26][27]. We note that the building of loop-induced neutrino scenarios is recently active [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Experiments have not yet determined whether the neutrino masses obey the Dirac or Majorana type.…”

Section: Introductionmentioning

confidence: 99%

Active Dirac neutrinos via SU(2) L doublets in 5d

Fujimoto¹,

Hasegawa²,

Nagasawa³

et al. 2016

J. High Energ. Phys.

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We propose a new mechanism to generate minuscule active neutrino masses in a five-dimensional (5d) spacetime of an interval without introducing SU(2) L singlet neutrinos. Under asymmetric boundary conditions on the two end points, a bulk mass for a 5d fermion allows a Dirac particle with a tiny mass eigenvalue. Implementing this mechanism, which provides us a new tool for building neutrino mass models, to the standard model gauge structure is possible when all the gauge bosons and the Higgs boson are localized on one of the branes.

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“…In this diagram, the inner loop on the fermion line is an example of a compressible 3-point vertex. However, if this fermion is of Majorana type, one can add to the corresponding model an extra symmetry, for example a global U (1) as in [42]. A SM singlet scalar can then be coupled to the Majorana fermion and assigned a charge under the U (1).…”

Section: Genuine Topologies Diagrams and Modelsmentioning

confidence: 99%

“…Instead, those models use a symmetry to forbid the tree-level vertex, which is then generated at loop level, once the symmetry is (spontaneously) broken. The model presented in [42] falls into this class. (It generates diagram D M 4 , at the level of diagrams in the mass eigenstate basis.)…”

mentioning

confidence: 99%

Systematic classification of three-loop realizations of the Weinberg operator

Cepedello

Fonseca

Hirsch

2018

J. High Energ. Phys.

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We study systematically the decomposition of the Weinberg operator at three-loop order. There are more than four thousand connected topologies. However, the vast majority of these are infinite corrections to lower order neutrino mass diagrams and only a very small percentage yields models for which the three-loop diagrams are the leading order contribution to the neutrino mass matrix. We identify 73 topologies that can lead to genuine three-loop models with fermions and scalars, i.e. models for which lower order diagrams are automatically absent without the need to invoke additional symmetries. The 73 genuine topologies can be divided into two sub-classes: Normal genuine ones (44 cases) and special genuine topologies (29 cases). The latter are a special class of topologies, which can lead to genuine diagrams only for very specific choices of fields. The genuine topologies generate 374 diagrams in the weak basis, which can be reduced to only 30 distinct diagrams in the mass eigenstate basis. We also discuss how all the mass eigenstate diagrams can be described in terms of only five master integrals. We present some concrete models and for two of them we give numerical estimates for the typical size of neutrino masses they generate. Our results can be readily applied to construct other d = 5 neutrino mass models with three loops. vacuum stability constraints for the AKS model have been studied in [35][36][37].The same topologies and diagrams as in the AKS model appear also in [38]. However, the authors of [38] use doubly charged vector-like fermions and a scalar doublet with hypercharge Y = 3/2 (plus the singlets of the AKS model). The diagrams D M 6 and D M 7 appear also in [39]. Here, however, these diagrams descend from our topologies T 40 and T 33 . D M 6 appears also in a model based on singlets [40], again descending from T 40 . The last 3-loop model we mention is the one discussed in [41]. It contains a scalar septet and a fermionic quintuplet, generating the diagrams D M 6 (from T 37 ) and D M 7 (from T 32 ). The model contains an accidental Z 2 , but still one needs to impose an additional Z 2 by hand.Our classification scheme for the different topologies concentrates on identifying 3-loop genuine topologies, which are those associated with the dominant contributions to the neutrino mass matrix. We discuss thoroughly the concept of "genuineness" in section 2. There, we also define two classes of such topologies: Normal (or ordinary) genuine topologies (in total there are 44 of them) and special genuine topologies, which require very special fields (29 cases). The full list is given in appendix A.As we will explain later, these special genuine topologies are associated to finite loop integrals, even though they generate some particular 3-or 4-point interaction at loop level. This happens because the corresponding tree-level renormalizable vertex vanishes due to the antisymmetric nature of some SU (2) L contractions. Our 29 special genuine topologies are of this type. However, there are some 3-loop models in...

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A three-loop neutrino model with global U(1) symmetry

Cited by 39 publications

References 88 publications

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

Active Dirac neutrinos via SU(2) L doublets in 5d

Systematic classification of three-loop realizations of the Weinberg operator

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