Dynamical left-right symmetry breaking

Akhmedov, Evgeny Kh.; Lindner, M.; Schnapka, Erhard; Valle, J. W. F.

doi:10.1103/physrevd.53.2752

Cited by 257 publications

(293 citation statements)

References 81 publications

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“…[20] for a review in the effective operator framework). This new mechanism is often called inverse seesaw [38] or linear seesaw [51,52]. In the inverse seesaw, two singlet fermions 8 (2-spinors) N 1 and N 2 are proposed.…”

Section: Relationship To Linear and Inverse Seesawmentioning

confidence: 99%

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Systematic study of the d = 5 Weinberg operator at one-loop order

Bonnet

Hirsch

Ota

et al. 2012

J. High Energ. Phys.

169

222

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We perform a systematic study of the d = 5 Weinberg operator at the one-loop level. We identify three different categories of neutrino mass generation: (1) finite irreducible diagrams; (2) finite extensions of the usual seesaw mechanisms at one-loop and (3) divergent loop realizations of the seesaws. All radiative one-loop neutrino mass models must fall into one of these classes. Case (1) gives the leading contribution to neutrino mass naturally and a classic example of this class is the Zee model. We demonstrate that in order to prevent that a tree level contribution dominates in case (2), Majorana fermions running in the loop and an additional Z 2 symmetry are needed for a genuinely leading one-loop contribution. In the type-II loop extensions, the Yukawa coupling will be generated at one loop, whereas the type-I/III extensions can be interpreted as loop-induced inverse or linear seesaw mechanisms. For the divergent diagrams in category (3), the tree level contribution cannot be avoided and is in fact needed as counter term to absorb the divergence.

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Section: Relationship To Linear and Inverse Seesawmentioning

confidence: 99%

“…The neutrino mass is generated at tree level, where additional suppression enters through a small lepton number violating (LNV) contribution (e.g., in inverse or linear see-saw scenarios, or R parity-violating SUSY models, etc. [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]). …”

Section: Introductionmentioning

confidence: 99%

Systematic study of the d = 5 Weinberg operator at one-loop order

Bonnet

Hirsch

Ota

et al. 2012

J. High Energ. Phys.

169

222

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“…Note that while φ 3 takes VEV in both electrically neutral directions, the second VEV of φ 2 is neglected, so that lepton number is broken only by SU (2) L singlets. This pattern gives the simplest consistent neutrino mass spectrum, avoiding the linear seesaw contribution [31,32].…”

Section: Arxiv:14052332v3 [Hep-ph] 10 Sep 2014mentioning

confidence: 99%

Radiative neutrino mass in 3-3-1 scheme

Boucenna

Morisi²,

Valle

2014

Phys. Rev. D

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We propose a new radiative mechanism for neutrino mass generation based on the SU(3)c ⊗ SU(3)L ⊗ U(1)X electroweak gauge group. Lepton number is a symmetry of the Yukawa sector but spontaneously broken in the gauge sector. As a result light Majorana masses arise from neutral gauge boson exchange at the one-loop level. In addition to the isosinglet neutrinos which may be produced at the LHC through the extended gauge boson portals, the model contains new quarks which can also lie at the TeV scale and provide a plethora of accessible collider phenomena.PACS numbers: 14.60. Pq, 12.60.Cn, 14.60.St, 14.70.Pw, 12.15.Ff The origin of neutrino mass and mixing, required in order to account for neutrino oscillation data [1,2], poses one of the biggest challenges in particle physics. While charged fermions must be Dirac particles, neutrinos are generally expected to be Majorana fermions [3], breaking lepton number and inducing neutrinoless double beta decay [4]. While attractive, the idea that neutrino mass is related to unification, encoded in the highscale seesaw paradigm [3, 5-8] falls short of covering the wealth of interesting neutrino mass schemes. Indeed neutrino masses could well be a low-scale phenomenon, both within the seesaw mechanism as well as other alternative approaches [9]. This brings in substantial freedom in model building, making the structure of the leptonic weak interaction much richer than the CKM matrix [10,11] characterizing the quark sector, and opening the exciting possibility of probing the associated neutrino mass messenger particles at collider experiments [12][13][14].Lepton number symmetry provides an important theoretical guide in neutrino mass modeling, depending on its fate different classes of models can be envisaged. For instance, lepton number can be conserved, leading to Dirac neutrinos. Or it can be violated explicitly, since gauge singlet Majorana masses can be added by hand in the SU(3) c ⊗ SU(2) L ⊗ U(1) Y model [3]. Or it can be a spontaneously broken global or gauged U(1) symmetry. The former defines the so-called seesaw majoron schemes [15,16], while the latter characterizes left-right symmetric electroweak models [17]. Another important challenge is the origin of the number of families. We know that three different flavors exist, i.e. states with the same gauge quantum numbers but different mass. But we do not know why nature replicates, nor why the masses of the three generations of Standard Model quarks and leptons are so different, nor why they mix in the way they do (flavor problem).In this paper we consider an alternative approach to neutrino mass generation at accessible scales and "explaining" the number of families. The model is based on the SU(3) c ⊗ SU(3) L ⊗ U(1) X (3-3-1) electroweak gauge structure and is consistent only if the number of families equals the number of quark colors [18,19], giving a reason for having three species of fermions. This feature follows from gauge anomaly cancellation and characterizes 331 models, including other variants e.g. [20][21...

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“…The neutrino mass is generated at tree level, but an additional suppression enters through a small lepton-number-violating (LNV) coupling. The so-called "inverse" seesaw [18] or "linear" seesaw [19,20] are examples for this approach.…”

Section: Jhep03(2015)040mentioning

confidence: 99%

Systematic classification of two-loop realizations of the Weinberg operator

Sierra

Degée

Dorame

et al. 2015

J. High Energ. Phys.

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We systematically analyze the d = 5 Weinberg operator at 2-loop order. Using a diagrammatic approach, we identify two different interesting categories of neutrino mass models: (i) Genuine 2-loop models for which both, tree-level and 1-loop contributions, are guaranteed to be absent. And (ii) finite 2-loop diagrams, which correspond to the 1-loop generation of some particular vertex appearing in a given 1-loop neutrino mass model, thus being effectively 2-loop. From the large list of all possible 2-loop diagrams, the vast majority are infinite corrections to lower order neutrino mass models and only a moderately small number of diagrams fall into these two interesting classes. Moreover, all diagrams in class (i) are just variations of three basic diagrams, with examples discussed in the literature before. Similarly, we also show that class (ii) diagrams consists of only variations of these three plus two more basic diagrams. Finally, we show how our results can be consistently and readily used in order to construct two-loop neutrino mass models.

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Dynamical left-right symmetry breaking

Cited by 257 publications

References 81 publications

Systematic study of the d = 5 Weinberg operator at one-loop order

Systematic study of the d = 5 Weinberg operator at one-loop order

Radiative neutrino mass in 3-3-1 scheme

Systematic classification of two-loop realizations of the Weinberg operator

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