The four-group Z_2 x Z_2 as a discrete invariance group of effective neutrino mass matrix
| dc.creator | Krolikowski, Wojciech | |
| dc.date | 2004-10-19 | |
| dc.date | 2004-10-25 | |
| dc.date.accessioned | 2026-07-07T03:53:43Z | |
| dc.date.available | 2026-07-07T03:53:43Z | |
| dc.description | Two sets of four 3x3 matrices 1^(3), varphi_1, varphi_2, varphi_3 and 1^(3), mu_1, mu_2, mu_3 are constructed, forming two unitarily isomorphic reducible representations 3 of the group Z_2 x Z_2 called often the four-group. They are related to each other through the effective neutrino mixing matrix U with s_{13} = 0, and generate four discrete transformations of flavor and mass active neutrinos, respectively. If and only if s_{13} = 0, the generic form of effective neutrino mass matrix M becomes invariant under the subgroup Z_2 of Z_2 x Z_2 represented by the matrices 1^(3) and varphi_3. In the approximation of m_1 = m_2, the matrix M becomes invariant under the whole Z_2 x Z_2 represented by the matrices 1^(3), varphi_1, varphi_2, varphi_3. The effective neutrino mixing matrix U with s_{13} = 0 is always invariant under the whole Z_2 x Z_2 represented in two ways, by the matrices 1^(3), varphi_1, varphi_2, varphi_3 and 1^(3), mu_1, mu_2, mu_3. | |
| dc.description | LaTeX, 1+10 pages. The term "irreducible" applied to the considered doublet representations of the four-group is replaced by the correct term "not reduced" | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0410257 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0410257 | |
| dc.identifier | Acta Phys.Polon. B36 (2005) 865-880 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/43951 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The four-group Z_2 x Z_2 as a discrete invariance group of effective neutrino mass matrix | |
| dc.type | text |