Scotogenic dark matter in an orbifold theory of flavor
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Springer
Received: July Revised: September Accepted: September Published: October
27, 25, 26, 28,
2020 2020 2020 2020
Scotogenic dark matter in an orbifold theory of flavor
a
Tepatitl´ an’s Institute for Theoretical Studies, C.P. 47600, Jalisco, M´exico b Laboratoire de Physique Th´eorique et Hautes Energies (LPTHE), UMR 7589, Sorbonne Universit´e et CNRS, 4 place Jussieu, 75252 Paris Cedex 05, France c Albert Einstein Center, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland d AHEP Group, Institut de F´ısica Corpuscular — C.S.I.C./Universitat de Val`encia, Parc Cient´ıfic de Paterna, C/Catedr´ atico Jos´e Beltr´ an, 2 E-46980 Paterna (Valencia), Spain e Consejo Nacional de Ciencia y Tecnolog´ıa, Avenida Insurgentes Sur 1582, Colonia Cr´edito Constructor, Alcald´ıa Benito Ju´ arez, C.P. 03940, Ciudad de M´exico, M´exico f Departamento de F´ısica, DCI, Campus Le´ on, Universidad de Guanajuato, Loma del Bosque 103, Lomas del Campestre C.P. 37150, Le´ on, Guanajuato, M´exico
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We propose a flavour theory in which the family symmetry results naturally from a six-dimensional orbifold compactification. “Diracness” of neutrinos is a consequence of the spacetime dimensionality, and the fact that right-handed neutrinos live in the bulk. Dark matter is incorporated in a scotogenic way, as a result of an auxiliary Z3 symmetry, and its stability is associated to the conservation of a “dark parity” symmetry. The model leads naturally to a “golden” quark-lepton mass relation. Keywords: Field Theories in Higher Dimensions, Neutrino Physics, Beyond Standard Model ArXiv ePrint: 2007.10402
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)190
JHEP10(2020)190
Francisco J. de Andaa Ignatios Antoniadisb,c Jos´ e W.F. Valled and Carlos A. Vaquera-Araujoe,f
Contents 1
2 A4 family symmetry from extra dimensions
2
3 Basic framework
3
4 Fermion masses 4.1 Quarks and charged leptons 4.2 Scotogenic neutrino masses
5 5 6
5 Summary and outlook
8
A 6-d fermions
9
1
Introduction
Two major drawbacks of the standard model is the lack of neutrino mass and dark matter. Indeed, the discovery of neutrino oscillations implies that neutrinos have mass [1–3] and the need to supplement the Standard Model (SM). Likewise, many models adding particle dark matter to the standard model can be envisaged. An interesting idea is that dark matter is the mediator of neutrino mass generation, the corresponding models have been dubbed scotogenic [4–13]. An even tougher challenge in particle physics is understanding flavor, i.e. the pattern of fermion mixings as well as their mass hierarchies. The latter suggests extending the standard model by the imposition of a family symmetry in order to provide them a non-trivial structure. However, there are just too many possibilities to choose from [14, 15]. Rather than imposing a flavour symmetry in an ad hoc fashion,
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