A randomly generated Majorana neutrino mass matrix using Adaptive Monte Carlo method
| Title: | A randomly generated Majorana neutrino mass matrix using Adaptive Monte Carlo method |
|---|---|
| Authors: | Singh, Y Monitar, Singh, Mayengbam Kishan, Singh, N Nimai |
| Publication Year: | 2024 |
| Collection: | High Energy Physics - Phenomenology |
| Subject Terms: | High Energy Physics - Phenomenology |
| More Details: | A randomly generated complex symmetric matrix using Adaptive Monte Carlo method, is taken as a general form of Majorana neutrino mass matrix, which is diagonalized by the use of eigenvectors. We extract all the neutrino oscillation parameters i.e. two mass-squared differences ($\Delta m_{21}^2$ and $\Delta m_{32}^2$ ), three mixing angles ($\theta_{12}$, $\theta_{13}$, $\theta_{23}$) and three phases i.e. one Dirac CP violating phase ($\delta_{CP}$) and two Majorana phases ($\alpha$ and $\beta$). The charge-parity (CP) violating phases are extracted from the mixing matrix constructed with the eigenvectors of the Hermitian matrix formed by the complex symmetric matrix. All the neutrino oscillation parameters within 3$\sigma$ bound are allowed in both normal hierarchy (NH) and inverted hierarchy (IH) consistent with the latest Planck cosmological upper bound, $\sum\vert m_i\vert<0.12$ eV. This latest cosmological upper bound is allowed only in three cases of zero texture for $m_{11}=0$; $m_{11},m_{12}=0$ and $m_{11},m_{13}=0$ in normal hierarchy whereas none of zero texture is allowed in inverted hierarchy. We also study effective neutrino masses $m_{\beta}$ in tritium beta decay and $m_{\beta\beta}$ in neutrinoless double beta decay. Comment: 23-pages, some text and extra figure are added |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2405.08495 |
| Accession Number: | edsarx.2405.08495 |
| Database: | arXiv |
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| Items | – Name: Title Label: Title Group: Ti Data: A randomly generated Majorana neutrino mass matrix using Adaptive Monte Carlo method – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Singh%2C+Y+Monitar%22">Singh, Y Monitar</searchLink><br /><searchLink fieldCode="AR" term="%22Singh%2C+Mayengbam+Kishan%22">Singh, Mayengbam Kishan</searchLink><br /><searchLink fieldCode="AR" term="%22Singh%2C+N+Nimai%22">Singh, N Nimai</searchLink> – Name: DatePubCY Label: Publication Year Group: Date Data: 2024 – Name: Subset Label: Collection Group: HoldingsInfo Data: High Energy Physics - Phenomenology – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22High+Energy+Physics+-+Phenomenology%22">High Energy Physics - Phenomenology</searchLink> – Name: Abstract Label: Description Group: Ab Data: A randomly generated complex symmetric matrix using Adaptive Monte Carlo method, is taken as a general form of Majorana neutrino mass matrix, which is diagonalized by the use of eigenvectors. We extract all the neutrino oscillation parameters i.e. two mass-squared differences ($\Delta m_{21}^2$ and $\Delta m_{32}^2$ ), three mixing angles ($\theta_{12}$, $\theta_{13}$, $\theta_{23}$) and three phases i.e. one Dirac CP violating phase ($\delta_{CP}$) and two Majorana phases ($\alpha$ and $\beta$). The charge-parity (CP) violating phases are extracted from the mixing matrix constructed with the eigenvectors of the Hermitian matrix formed by the complex symmetric matrix. All the neutrino oscillation parameters within 3$\sigma$ bound are allowed in both normal hierarchy (NH) and inverted hierarchy (IH) consistent with the latest Planck cosmological upper bound, $\sum\vert m_i\vert<0.12$ eV. This latest cosmological upper bound is allowed only in three cases of zero texture for $m_{11}=0$; $m_{11},m_{12}=0$ and $m_{11},m_{13}=0$ in normal hierarchy whereas none of zero texture is allowed in inverted hierarchy. We also study effective neutrino masses $m_{\beta}$ in tritium beta decay and $m_{\beta\beta}$ in neutrinoless double beta decay.<br />Comment: 23-pages, some text and extra figure are added – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2405.08495" linkWindow="_blank">http://arxiv.org/abs/2405.08495</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.2405.08495 |
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| RecordInfo | BibRecord: BibEntity: Subjects: – SubjectFull: High Energy Physics - Phenomenology Type: general Titles: – TitleFull: A randomly generated Majorana neutrino mass matrix using Adaptive Monte Carlo method Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Singh, Y Monitar – PersonEntity: Name: NameFull: Singh, Mayengbam Kishan – PersonEntity: Name: NameFull: Singh, N Nimai IsPartOfRelationships: – BibEntity: Dates: – D: 14 M: 05 Type: published Y: 2024 |
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