Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos
Abstract We propose a complex extension of μτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) ext...
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Language: | English |
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SpringerOpen
2018-06-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)085 |
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author | Rome Samanta Probir Roy Ambar Ghosal |
author_facet | Rome Samanta Probir Roy Ambar Ghosal |
author_sort | Rome Samanta |
collection | DOAJ |
description | Abstract We propose a complex extension of μτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) extension of μτ permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N 1 and N 2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or π. We further provide an uptodate discussion of the ββ0ν process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N 1 only matters here with the asymmetry produced by N 2 being washed out. Tight upper and lower bounds on the mass of N 1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N 2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix. |
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issn | 1029-8479 |
language | English |
last_indexed | 2024-12-13T07:52:58Z |
publishDate | 2018-06-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
spelling | doaj.art-6001276cbcee4ebb91225009cd7737e92022-12-21T23:54:37ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018612910.1007/JHEP06(2018)085Consequences of minimal seesaw with complex μτ antisymmetry of neutrinosRome Samanta0Probir Roy1Ambar Ghosal2Astroparticle Physics and Cosmology Division, Saha Institute of Nuclear Physics, HBNICenter for Astroparticle Physics and Space Science, Bose InstituteAstroparticle Physics and Cosmology Division, Saha Institute of Nuclear Physics, HBNIAbstract We propose a complex extension of μτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) extension of μτ permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N 1 and N 2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or π. We further provide an uptodate discussion of the ββ0ν process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N 1 only matters here with the asymmetry produced by N 2 being washed out. Tight upper and lower bounds on the mass of N 1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N 2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix.http://link.springer.com/article/10.1007/JHEP06(2018)085Beyond Standard ModelCP violationNeutrino Physics |
spellingShingle | Rome Samanta Probir Roy Ambar Ghosal Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos Journal of High Energy Physics Beyond Standard Model CP violation Neutrino Physics |
title | Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos |
title_full | Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos |
title_fullStr | Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos |
title_full_unstemmed | Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos |
title_short | Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos |
title_sort | consequences of minimal seesaw with complex μτ antisymmetry of neutrinos |
topic | Beyond Standard Model CP violation Neutrino Physics |
url | http://link.springer.com/article/10.1007/JHEP06(2018)085 |
work_keys_str_mv | AT romesamanta consequencesofminimalseesawwithcomplexmtantisymmetryofneutrinos AT probirroy consequencesofminimalseesawwithcomplexmtantisymmetryofneutrinos AT ambarghosal consequencesofminimalseesawwithcomplexmtantisymmetryofneutrinos |