Lepton number violating operators with standard model gauge fields: a survey of neutrino masses from 3-loops and their l
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Springer
Received: July 27, 2020 Accepted: September 18, 2020 Published: November 13, 2020
Michael Gustafsson,a Jos´ e Miguel Nob and Maximiliano A. Riverac a
Institute for theoretical Physics — Faculty of Physics, Georg-August University G¨ ottingen, Friedrich-Hund-Platz 1, D-37077 G¨ ottingen, Germany b Departamento de F´ısica Te´ orica and Instituto de F´ısica Te´ orica, IFT-UAM/CSIC, Cantoblanco, 28049, Madrid, Spain c Departamento de F´ısica, Universidad T´ecnica Federico Santa Mar´ıa, Casilla 110-V, Valparaiso, Chile
E-mail: [email protected], [email protected], [email protected] Abstract: We investigate neutrino mass generation scenarios where the lepton number breaking new physics does not interact with Standard Model (SM) quarks and couples only to the SM right-handed charged lepton chirality. The lowest-order lepton number violating effective operator which describes this framework is a unique dimension nine operator involving SM gauge fields, O9 . We find that there are two possible classes of new physics scenarios giving rise to this O9 operator. In these scenarios neutrino masses are induced radiatively via dark matter interactions, linking the dark matter to a natural explanation for the smallness of neutrino masses compared to the electroweak scale. We discuss the phenomenology and existing constraints in the different neutrino mass models within each class. In particular, we analyze the important interplay between neutrino mixing and neutrinoless double β-decay in order to predict characteristic signatures and disfavour certain scenarios. Keywords: Beyond Standard Model, Neutrino Physics ArXiv ePrint: 2006.13564
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)070
JHEP11(2020)070
Lepton number violating operators with standard model gauge fields: a survey of neutrino masses from 3-loops and their link to dark matter
Contents 1 Introduction
1
2 Decomposing the lepton number breaking operator O9
2 7 7 9 12 16 16 19 20
4 Neutrino mixing and neutrinoless double β-decay 4.1 Class 1 4.2 Class 2
21 23 24
5 Conclusions
27
A Oblique parameters in the inert triplet dark matter model
29
1
Introduction
The quest to unravel the mechanism responsible for neutrino masses is a central aspect of neutrino physics, tightly linked to the Dirac or Majorana nature of neutrinos. Under the assumption that neutrinos are Majorana particles, a general classification of the possible lepton-number-violating higher-dimensional operators up to dimension D = 11 that could cause neutrino mass generation has been carried out in [1, 2] (see also [3, 4] for a recent discussion in the context of neutrinoless double β-decay). This classification, aimed at providing a general understanding of new physics breaking lepton number by two units (∆L = 2), focused on higher-dimensional operators built from Standard Model (SM) quarks, leptons as well as the SM Higgs doublet. This classification has however left-out an entire class of ∆L =
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