Published November 1, 2008 | Version v1
Journal article

Empirical neutrino mass matrix related to up-quark Masses

Creators

  • 1. IHERP, Osaka University, 1-16 Machikaneyama, Toyonaka, Osaka 560-0043 (Japan)

Description

According to an idea that mass spectra of quarks and leptons originate in vacuum expectation values of 0(3) flavor (3 x 3)s = 1 + 5 (gauge singlet) scalars, a neutrino mass matrix related to up-quark and charged lepton masses is derived: Mi'v = MeMR-1MTe with Mr ∝ MeMu1/2 + Mu1/2 Me. In order to obtain the lepton mixing matrix, we must know forms of Me and Mu in the 'e-basis' which is defined as a diagonal basis of Me. By analogy with Mu = VTDUV in the d-basis (Du = diag(mu,mc,mt) and V is the CKM mixing matrix), we assume a form Mu1/2 = VT(δ)DU1/2 V(δ) in the e-basis. When we use the observed values of |VUS|, |Vcb| and |Vub| for the form V(δ) (δ is free), our neutrino mass matrix can give a nearly tribi-maximal mixing, i.e. |U13| = 0.00010, sin2 2θ23 = 0.9997, and tan2θ12 = 0.5125 at δ = π. We consider that this is not accidental and this result should be taken seriously. For more details, see Y.K, Phys.Lett. B665 (2008) 227 (arXiv:0804.4267 [hep-ph]).

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/136/4/042024

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
136
Journal Issue
4
Journal Page Range
[1 p.]
ISSN
1742-6596

Conference

Title
23. international conference on neutrino physics and astrophysics
Dates
25-31 May 2008
Place
Christchurch (New Zealand)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41050626
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
EXPECTATION VALUE; FLAVOR MODEL; KOBAYASHI-MASKAWA MATRIX; MASS SPECTRA; NEUTRINOS; REST MASS; STANDARD MODEL; U QUARKS; WEINBERG ANGLE
Descriptors DEC
COMPOSITE MODELS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; GRAND UNIFIED THEORY; LEPTONS; MASS; MASSLESS PARTICLES; MATHEMATICAL MODELS; MATRICES; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; QUARKS; SPECTRA; UNIFIED GAUGE MODELS