Minimal radiative neutrino masses

Klein, Christiane; Lindner, M.; Ohmer, Sebastian

doi:10.1007/jhep03(2019)018

Cited by 24 publications

(26 citation statements)

References 67 publications

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“…Several seesaw [6][7][8][9][10][11][12] and loop [13][14][15][16] mass generation mechanism for Majorana neutrinos have been known for a long time. Furthermore, a systematic classification of all Majorana neutrinos mass mechanisms at a given operator dimensionality and up to certain number of loops also exist in the literature [17][18][19][20][21][22][23][24][25][26]. In contrast, Dirac neutrinos have received relatively little attention.…”

Section: Introductionmentioning

confidence: 99%

Systematic classification of two-loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection

Chuliá

Cepedello

Peinado

et al. 2019

J. High Energ. Phys.

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We provide a complete systematic classification of all two-loop realizations of the dimension four operator for Dirac neutrino masses. Our classification is multilayered, starting first with a classification in terms of all possible distinct two loop topologies. Then we discuss the possible diagrams for each topology. Model-diagrams originating from each diagram are then considered. The criterion for genuineness is also defined and discussed at length. Finally, as examples, we construct two explicit models which also serve to highlight the intimate connection between the Dirac nature of neutrinos and the stability of dark matter.

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Section: Introductionmentioning

confidence: 99%

Systematic classification of two-loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection

Chuliá

Cepedello

Peinado

et al. 2019

J. High Energ. Phys.

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“…An economic classification scheme, separate from an EFT framework, was presented in ref. [35] based on the number of exotic degrees of freedom by which the SM is extended. There, the method is applied to the case of radiative models with two exotics, 2 and has also been used to study minimal neutrino-mass models compatible with SU(5) unification [36].…”

Section: Jhep01(2021)074mentioning

confidence: 99%

Exploding operators for Majorana neutrino masses and beyond

Gargalionis

Volkas

2021

J. High Energ. Phys.

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Building UV completions of lepton-number-violating effective operators has proved to be a useful way of studying and classifying models of Majorana neutrino mass. In this paper we describe and implement an algorithm that systematises this model-building procedure. We use the algorithm to generate computational representations of all of the tree-level completions of the operators up to and including mass-dimension 11. Almost all of these correspond to models of radiative neutrino mass. Our work includes operators involving derivatives, updated estimates for the bounds on the new-physics scale associated with each operator, an analysis of various features of the models, and a look at some examples. We find that a number of operators do not admit any completions not also generating lower-dimensional operators or larger contributions to the neutrino mass, ruling them out as playing a dominant role in the neutrino-mass generation. Additionally, we show that there are at most five models containing three or fewer exotic multiplets that predict new physics that must lie below 100 TeV. Accompanying this work we also make available a searchable database containing all of our results and the code used to find the completions. We emphasise that our methods extend beyond the study of neutrino-mass models, and may be useful for generating completions of high-dimensional operators in other effective field theories. Example code: ref. [37].

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“…Minimal one-loop and two-loop models resulting from our exhaustive search to be discussed at length are summarized in Tables 2, 3, 4 and 5. Whereas a systematic classification of Majorana neutrino mass mechanisms and identifying minimal models are extensively discussed in the literature [74][75][76][77][78][79][80][81][82][83], similar analysis for the case of Dirac neutrinos are still lacking. Along this direction, some recent attempts are taken: a systematic classification of tree-level and one-loop mass mechanisms at d = 4 [84], d = 5 [85,86], d = 6 [87,88], two-loop mass models at d = 4 [84,89], selecting minimal models at one-loop [49] and identifying simplest models at one-loop, two-loop and three-loop [53] are considered.…”

Section: Higgsmentioning

confidence: 99%

Minimal realizations of Dirac neutrino mass from generic one-loop and two-loop topologies at d=5

Jana

Vishnu

Saad

2020

J. Cosmol. Astropart. Phys.

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We carry out a systematic investigation for the minimal Dirac neutrino mass models emerging from generic one-loop and two-loop topologies that arise from d = 5 effective operator with a singlet scalar, σ. To ensure that the tree-level Dirac mass, as well as Majorana mass terms at all orders, are absent for the neutrinos, we work in the framework where the Standard Model is supplemented by the well-motivated U (1) B−L gauge symmetry. At the one-loop level, we analyze six possible topologies, out of which two of them have the potential to generate desired Dirac neutrino mass. Adopting a systematic approach to select minimal models, we construct seventeen viable one-loop Dirac neutrino mass models. By embracing a similar methodical approach at the two-loop, we work out twenty-three minimal candidates. Among the forty selected economical models, the majority of the models proposed in this work are new. In our search, we also include the scenarios where the particles in the loop carry charges under the color group. Furthermore, we discuss the possible dark matter candidates within a given model, if any, without extending the minimal particle content.

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Minimal radiative neutrino masses

Cited by 24 publications

References 67 publications

Systematic classification of two-loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection

Systematic classification of two-loop d = 4 Dirac neutrino mass models and the Diracness-dark matter stability connection

Exploding operators for Majorana neutrino masses and beyond

Minimal realizations of Dirac neutrino mass from generic one-loop and two-loop topologies at d=5

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