Classification of effective neutrino mass operators

By K. Babu, C. Leung. 2001

192 citations recorded by the source corpus.

Abstract We present a classification of SU(3)C×SU(2)L×U(1)Y gauge invariant ΔL=2 (L being lepton number) effective operators relevant for generating small Majorana neutrino masses. Operators of dimension up to 11 have been included in our analysis. This approach enables us to systematically identify interesting neutrino mass models. It is shown that many of the well-known models fall into this classification. In addition, a number of new models are proposed and their neutrino phenomenology is outlined. Of particular interest is a large class of models in which neutrinoless double beta decays arise at a lower order compared to the neutrino mass, making these decays accessible to the current round of experiments.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/73792823988aa57072f8cf9b7fce9263879d6f20

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In Nuclear and High Energy Physics

1. Yi-Fu Cai
2. W. Rodejohann
3. T. Han
4. John Gargalionis
5. I. Bischer
6. R. Volkas
7. L. Lehman
8. Silvia Pascoli

Citations in the corpus

• From the Trees to the Forest: A Review of Radiative Neutrino Mass Models (2017, methodology): “The large number of dimension-11 operators can be found listed in Babu and Leung [85] and de Gouvea and Jenkins [87].”
• The Search for Heavy Majorana Neutrinos (2009, background): “Higher dimensional operators that give rise to Majorana neutrino masses have also been constructed in a model-independent manner [13].”
• General neutrino interactions from an effective field theory perspective (2019, background): “[62–66] and naturally arise in grand unified theories.”
• Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators (2014, background): “[11]; this deals with L = +2 operators that could produce Majorana masses for neutrinos and lists the same five L = +2 operators from class 6 in Table 4.”
• Reconsidering the one leptoquark solution: flavor anomalies and neutrino mass (2017, background): “Effective operators that violate lepton number by two units (∆L = 2) have been categorized and studied in the literature [68, 69], and a diverse landscape of models emerges by considering different completions of these in the ultraviolet (UV).”