Textures of neutrino mass matrix from S 4-flavor symmetry

Abstract We study a texture of neutrino mass matrix characterized by two constraints consisting of one equality and another antiequality between two elements corresponding to two pairs of the matrix entries. Amidst such textures, we limit our study to three patterns which were realizable assuming an...

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Main Authors: N. Chamoun, E. I. Lashin
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)016
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author N. Chamoun
E. I. Lashin
author_facet N. Chamoun
E. I. Lashin
author_sort N. Chamoun
collection DOAJ
description Abstract We study a texture of neutrino mass matrix characterized by two constraints consisting of one equality and another antiequality between two elements corresponding to two pairs of the matrix entries. Amidst such textures, we limit our study to three patterns which were realizable assuming an S 4-symmetry within type II-seesaw scenario. Three such cases were found and studied: I (M ν22 = −M ν33 & M ν11 = +M ν23), II (M ν11 = −M ν33 & M ν22 = +M ν13) and III (M ν11 = −M ν22 & M ν33 = +M ν12). We specify the role of unphysical phases in the definition of the textures under study which were tested against experimental constraints, and were found to accommodate data with both hierarchies allowed. However, switching off the unphysical phases allows only for inverted hierarchy, except for the texture III which allows also, albeit for a very narrow parameter space region, for normal ordering. We stress that the different phenomenologies when including/excluding unphysical phases stem from the different definitions of the texture one has to adopt in order to make it insensitive to unphysical phases, rather than to any ‘absent’ physical effects of unphysical phases. In addition, we made clear how a texture definition should be independent of the PMNS parametrization. We present a complete phenomenological analysis of these three textures and justify analytically the resulting correlations. We detail the effect of the unphysical phases in diluting/deforming several correlations, which otherwise would have been “clear”. Finally, we give theoretical realizations within seesaw type II scenarios for such textures.
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spelling doaj-art-65a6a83c32df4d25a4d63702991399342025-01-19T12:07:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114510.1007/JHEP01(2025)016Textures of neutrino mass matrix from S 4-flavor symmetryN. Chamoun0E. I. Lashin1Physics Department, HIASTDepartment of Physics, Faculty of Science, Ain Shams UniversityAbstract We study a texture of neutrino mass matrix characterized by two constraints consisting of one equality and another antiequality between two elements corresponding to two pairs of the matrix entries. Amidst such textures, we limit our study to three patterns which were realizable assuming an S 4-symmetry within type II-seesaw scenario. Three such cases were found and studied: I (M ν22 = −M ν33 & M ν11 = +M ν23), II (M ν11 = −M ν33 & M ν22 = +M ν13) and III (M ν11 = −M ν22 & M ν33 = +M ν12). We specify the role of unphysical phases in the definition of the textures under study which were tested against experimental constraints, and were found to accommodate data with both hierarchies allowed. However, switching off the unphysical phases allows only for inverted hierarchy, except for the texture III which allows also, albeit for a very narrow parameter space region, for normal ordering. We stress that the different phenomenologies when including/excluding unphysical phases stem from the different definitions of the texture one has to adopt in order to make it insensitive to unphysical phases, rather than to any ‘absent’ physical effects of unphysical phases. In addition, we made clear how a texture definition should be independent of the PMNS parametrization. We present a complete phenomenological analysis of these three textures and justify analytically the resulting correlations. We detail the effect of the unphysical phases in diluting/deforming several correlations, which otherwise would have been “clear”. Finally, we give theoretical realizations within seesaw type II scenarios for such textures.https://doi.org/10.1007/JHEP01(2025)016Neutrino MixingSpecific BSM Phenomenology
spellingShingle N. Chamoun
E. I. Lashin
Textures of neutrino mass matrix from S 4-flavor symmetry
Journal of High Energy Physics
Neutrino Mixing
Specific BSM Phenomenology
title Textures of neutrino mass matrix from S 4-flavor symmetry
title_full Textures of neutrino mass matrix from S 4-flavor symmetry
title_fullStr Textures of neutrino mass matrix from S 4-flavor symmetry
title_full_unstemmed Textures of neutrino mass matrix from S 4-flavor symmetry
title_short Textures of neutrino mass matrix from S 4-flavor symmetry
title_sort textures of neutrino mass matrix from s 4 flavor symmetry
topic Neutrino Mixing
Specific BSM Phenomenology
url https://doi.org/10.1007/JHEP01(2025)016
work_keys_str_mv AT nchamoun texturesofneutrinomassmatrixfroms4flavorsymmetry
AT eilashin texturesofneutrinomassmatrixfroms4flavorsymmetry