Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry
Abstract In the canonical seesaw mechanism we require the relevant neutrino mass terms to be invariant under the S 3 charge-conjugation transformations of left- and right-handed neutrino fields. Then both the Dirac mass matrix M D and the right-handed neutrino mass matrix M R are well constrained, s...
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Format: | Article |
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SpringerOpen
2019-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)184 |
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author | Zhi-Zhong Xing Di Zhang |
author_facet | Zhi-Zhong Xing Di Zhang |
author_sort | Zhi-Zhong Xing |
collection | DOAJ |
description | Abstract In the canonical seesaw mechanism we require the relevant neutrino mass terms to be invariant under the S 3 charge-conjugation transformations of left- and right-handed neutrino fields. Then both the Dirac mass matrix M D and the right-handed neutrino mass matrix M R are well constrained, so is the effective light Majorana neutrino mass matrix M ν via the seesaw formula. We find that these mass matrices can be classified into 22 categories, among which some textures respect the well-known μ-τ permutation or reflection symmetry and flavor democracy. It is also found that there exist remarkable structural equalities or similarities between M ν and M R, reflecting a seesaw mirroring relationship between light and heavy Majorana neutrinos. We calculate the corresponding light neutrino masses and flavor mixing parameters as well as the CP-violating asymmetries in decays of the lightest heavy Majorana neutrino, and show that only the flavored leptogenesis mechanism is possible to work for three categories of M D and M R in the S 3 reflection symmetry limit. |
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issn | 1029-8479 |
language | English |
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series | Journal of High Energy Physics |
spelling | doaj.art-d0de4e38306f48c3bd8d29a3d14587d52022-12-22T01:24:35ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019313410.1007/JHEP03(2019)184Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetryZhi-Zhong Xing0Di Zhang1Theoretical Physics Division, Institute of High Energy Physics and School of Physical Sciences, University of Chinese Academy of SciencesTheoretical Physics Division, Institute of High Energy Physics and School of Physical Sciences, University of Chinese Academy of SciencesAbstract In the canonical seesaw mechanism we require the relevant neutrino mass terms to be invariant under the S 3 charge-conjugation transformations of left- and right-handed neutrino fields. Then both the Dirac mass matrix M D and the right-handed neutrino mass matrix M R are well constrained, so is the effective light Majorana neutrino mass matrix M ν via the seesaw formula. We find that these mass matrices can be classified into 22 categories, among which some textures respect the well-known μ-τ permutation or reflection symmetry and flavor democracy. It is also found that there exist remarkable structural equalities or similarities between M ν and M R, reflecting a seesaw mirroring relationship between light and heavy Majorana neutrinos. We calculate the corresponding light neutrino masses and flavor mixing parameters as well as the CP-violating asymmetries in decays of the lightest heavy Majorana neutrino, and show that only the flavored leptogenesis mechanism is possible to work for three categories of M D and M R in the S 3 reflection symmetry limit.http://link.springer.com/article/10.1007/JHEP03(2019)184Beyond Standard ModelDiscrete SymmetriesNeutrino PhysicsCP violation |
spellingShingle | Zhi-Zhong Xing Di Zhang Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry Journal of High Energy Physics Beyond Standard Model Discrete Symmetries Neutrino Physics CP violation |
title | Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry |
title_full | Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry |
title_fullStr | Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry |
title_full_unstemmed | Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry |
title_short | Seesaw mirroring between light and heavy Majorana neutrinos with the help of the S 3 reflection symmetry |
title_sort | seesaw mirroring between light and heavy majorana neutrinos with the help of the s 3 reflection symmetry |
topic | Beyond Standard Model Discrete Symmetries Neutrino Physics CP violation |
url | http://link.springer.com/article/10.1007/JHEP03(2019)184 |
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