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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Main Authors: Zhi-Zhong Xing, Di Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Journal of High Energy Physics
Subjects:
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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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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