Nearly Tri-bimaximal Mixing in the S{sub 3} Flavor Symmetry

Journal Article · Wed Jul 02 04:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2965040· OSTI ID:21149090

Mondragon, A; Mondragon, M; Peinado, E ^[1]

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1. Departamento de Fisica Teorica, Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apdo. Posta 20-364, 01000 Mexico D.F. (Mexico)

We present an analysis of the theoretical neutrino mixing matrix, V{sub PMNS}{sup th}, previously derived in the framework of the minimal S{sub 3}-invariant extension of the Standard Model. All entries in the neutrino mixing matrix, V{sub PMNS}{sup th}, the mixing angles and the Majorana phases are given as exact, explicit analytical functions of the mass ratios of the charged leptons and neutrinos, and one Dirac phase, in excellent agreement with the the latest experimental data. Here, it will be shown that all entries in V{sub PMNS}{sup th} are numerically very close to the tri-bimaximal form of the neutrino mixing matrix, so that V{sub PMNS}{sup th} may be written as V{sup tri}+{delta}V{sub PMNS}{sup tri}. The small correction {delta}V{sub PMNS}{sup tri} is expressed as a sum of two terms: first, a small correction term proportional to m{sub e}/m{sub {mu}} depending only on the charged lepton mass ratios and, second, a Cabbibo-like, small term, {delta}t{sub 12}, which is a function of both the charged lepton and the neutrino mass ratios.

• OSTI ID: 21149090
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1026; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
FLAVOR MODEL
KOBAYASHI-MASKAWA MATRIX
NEUTRINO OSCILLATION
NEUTRINOS
REST MASS
STANDARD MODEL
SYMMETRY
WEINBERG ANGLE