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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Main Authors: Rome Samanta, Probir Roy, Ambar Ghosal
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of High Energy Physics
Subjects:
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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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
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