Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter
Abstract We show that the neutrino mass generation and the dark matter stability can be governed by the center of the QCD group, which is a $$Z_3$$ Z 3 group. Three right-handed neutrinos $$N_{1,2,3R}$$ N 1 , 2 , 3 R transform under $$Z_3$$ Z 3 as $$1,w,w^2$$ 1 , w , w 2 , where $$w=e^{i2\pi /3}$$ w...
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| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14206-w |
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| author | Doan Minh Luong Phung Van Dong |
| author_facet | Doan Minh Luong Phung Van Dong |
| author_sort | Doan Minh Luong |
| collection | DOAJ |
| description | Abstract We show that the neutrino mass generation and the dark matter stability can be governed by the center of the QCD group, which is a $$Z_3$$ Z 3 group. Three right-handed neutrinos $$N_{1,2,3R}$$ N 1 , 2 , 3 R transform under $$Z_3$$ Z 3 as $$1,w,w^2$$ 1 , w , w 2 , where $$w=e^{i2\pi /3}$$ w = e i 2 π / 3 is the cube root of unity, and they couple to usual lepton doublets via the usual Higgs doublet H and two new scalar doublets $$\eta ,\chi $$ η , χ , which transform under $$Z_3$$ Z 3 as $$1,w^2,w$$ 1 , w 2 , w , respectively. This leads to a scotoseesaw mechanism in which the seesaw and scotogenic neutrino mass generations are induced by the Majorana $$N_{1R}$$ N 1 R mass and the Dirac $$N_{2,3R}$$ N 2 , 3 R mass, respectively. Although the lightest of the $$Z_3$$ Z 3 fields is stabilized, responsible for dark matter, the model lacks an explanation for relic density and/or direct detection. The issue can be solved in a $$U(1)_{B-L}$$ U ( 1 ) B - L gauge completion of the model, for which the center of the QCD group is isomorphic to $$Z_3=\{1,T,T^2\}$$ Z 3 = { 1 , T , T 2 } for $$T=w^{3(B-L)}$$ T = w 3 ( B - L ) . |
| format | Article |
| id | doaj-art-b923f6d700ad4d01be2d4869ed003c53 |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-b923f6d700ad4d01be2d4869ed003c532025-08-20T02:55:29ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185411310.1140/epjc/s10052-025-14206-wScotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matterDoan Minh Luong0Phung Van Dong1Phenikaa Institute for Advanced Study, Phenikaa UniversityPhenikaa Institute for Advanced Study, Phenikaa UniversityAbstract We show that the neutrino mass generation and the dark matter stability can be governed by the center of the QCD group, which is a $$Z_3$$ Z 3 group. Three right-handed neutrinos $$N_{1,2,3R}$$ N 1 , 2 , 3 R transform under $$Z_3$$ Z 3 as $$1,w,w^2$$ 1 , w , w 2 , where $$w=e^{i2\pi /3}$$ w = e i 2 π / 3 is the cube root of unity, and they couple to usual lepton doublets via the usual Higgs doublet H and two new scalar doublets $$\eta ,\chi $$ η , χ , which transform under $$Z_3$$ Z 3 as $$1,w^2,w$$ 1 , w 2 , w , respectively. This leads to a scotoseesaw mechanism in which the seesaw and scotogenic neutrino mass generations are induced by the Majorana $$N_{1R}$$ N 1 R mass and the Dirac $$N_{2,3R}$$ N 2 , 3 R mass, respectively. Although the lightest of the $$Z_3$$ Z 3 fields is stabilized, responsible for dark matter, the model lacks an explanation for relic density and/or direct detection. The issue can be solved in a $$U(1)_{B-L}$$ U ( 1 ) B - L gauge completion of the model, for which the center of the QCD group is isomorphic to $$Z_3=\{1,T,T^2\}$$ Z 3 = { 1 , T , T 2 } for $$T=w^{3(B-L)}$$ T = w 3 ( B - L ) .https://doi.org/10.1140/epjc/s10052-025-14206-w |
| spellingShingle | Doan Minh Luong Phung Van Dong Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter European Physical Journal C: Particles and Fields |
| title | Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter |
| title_full | Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter |
| title_fullStr | Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter |
| title_full_unstemmed | Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter |
| title_short | Scotoseesaw mechanism from a $$Z_3$$ Z 3 symmetry of matter |
| title_sort | scotoseesaw mechanism from a z 3 z 3 symmetry of matter |
| url | https://doi.org/10.1140/epjc/s10052-025-14206-w |
| work_keys_str_mv | AT doanminhluong scotoseesawmechanismfromaz3z3symmetryofmatter AT phungvandong scotoseesawmechanismfromaz3z3symmetryofmatter |