scholarly journals FLAVOR SYMMETRIES, NEUTRINO MASSES AND NEUTRINO MIXING

2008 ◽  
Vol 23 (21) ◽  
pp. 3179-3182 ◽  
Author(s):  
HARALD FRITZSCH
Keyword(s):  
Cp Violation ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Mass Ratio ◽  
Mixing Angle ◽  
Flavor Symmetries ◽  
Mass Matrices ◽  
Mass Ratios

We discuss the neutrino mixing, using the texture 0 mass matrices, which work very well for the quarks. The solar mixing angle is directly linked to the mass ratio of the first two neutrinos. The neutrino masses are hierarchical, but the mass ratios turn out to be much smaller than for quarks. The atmospheric mixing angle is 38°. The CP violation for leptons should be much smaller than for quarks.

scholarly journals Predictions for the Dirac CP violation phase in the neutrino mixing matrix

2015 ◽  
Vol 30 (13) ◽  
pp. 1530035 ◽  
Author(s):  
S. T. Petcov ◽  
I. Girardi ◽  
A. V. Titov
Keyword(s):  
Cp Violation ◽  
Sum Rules ◽  
Current Data ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Flavor Symmetries ◽  
Minimal Form ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Matrix Formula

Using the fact that the neutrino mixing matrix [Formula: see text], where Ue and Uν result from the diagonalization of the charged lepton and neutrino mass matrices, we analyze the predictions based on the sum rules which the Dirac phase δ present in U satisfies when Uν has a form dictated by, or associated with, discrete flavor symmetries and Ue has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to Uν, so that the reactor, atmospheric and solar neutrino mixing angles θ13, θ23 and θ12 have values compatible with the current data.

scholarly journals FLAVOR MIXING, QUARK MASSES, NEUTRINO MASSES AND NEUTRINO OSCILLATIONS

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3354-3358 ◽  
Author(s):  
H. FRITZSCH
Keyword(s):  
Neutrino Masses ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Quark Masses ◽  
Mass Matrices ◽  
Mass Ratios ◽  
Flavor Mixing ◽  
Eigen Values ◽  
Charged Leptons ◽  
The Masses

We study a model for the mass matrices of the quarks and leptons. Two of the three flavor mixing angles of the quarks can be calculated in terms of the quark mass ratios. They agree very well with the experiments. We are able to relate the mass eigen values of the charged leptons and of the neutrinos to the mixing angles and can predict the masses of the neutrinos. We find a normal hierarchy -the masses are 0.004 eV, 0.01 eV and 0.05 eV. The atmospheric mixing angle is given by the mass ratios of the charged leptons and the neutrinos. We find 38 degrees, consistent with the experiments. The mixing element, connecting the first neutrino with the electron, is found to be 0.05.

scholarly journals Maximal CP violation in flavor neutrino masses

2016 ◽  
Vol 31 (09) ◽  
pp. 1650043 ◽  
Author(s):  
Teruyuki Kitabayashi ◽  
Masaki Yasuè
Keyword(s):  
Cp Violation ◽  
Neutrino Mass ◽  
Atmospheric Neutrino ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Mutual Dependence ◽  
Mass Matrices

Since flavor neutrino masses [Formula: see text] can be expressed in terms of [Formula: see text], mutual dependence among [Formula: see text] is derived by imposing some constraints on [Formula: see text]. For appropriately imposed constraints on [Formula: see text] giving rise to both maximal CP violation and the maximal atmospheric neutrino mixing, we show various specific textures of neutrino mass matrices including the texture with [Formula: see text] derived as the simplest solution to the constraint of [Formula: see text], which is required by the constraint of [Formula: see text] for [Formula: see text]. It is found that Majorana CP violation depends on the phase of [Formula: see text].

scholarly journals UNVEILING NEUTRINO MIXING AND LEPTONIC CP VIOLATION

2005 ◽  
Vol 20 (01) ◽  
pp. 1-17 ◽  
Author(s):  
OLGA MENA
Keyword(s):  
Cp Violation ◽  
Neutrino Oscillation ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Mixing Angle ◽  
Long Baseline ◽  
Neutrino Experiments ◽  
Two Parameters ◽  
Present Understanding ◽  
Neutrino Masses And Mixings

We review the present understanding of neutrino masses and mixings, discussing what are the unknowns in the three-family oscillation scenario. Despite the anticipated success coming from the planned long baseline neutrino experiments in unraveling the leptonic mixing sector, there are two important unknowns which may remain obscure: the mixing angle θ13 and the CP-phase δ. The measurement of these two parameters has led us to consider the combination of superbeams and neutrino factories as the key to unveil the neutrino oscillation picture.

Texture zero mass matrices and flavor mixing of quarks and leptons

2015 ◽  
Vol 30 (28) ◽  
pp. 1550138 ◽  
Author(s):  
Harald Fritzsch
Keyword(s):  
Experimental Data ◽  
Neutrino Masses ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Zero Mass ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Texture Zero ◽  
The Masses

We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of the first two neutrinos is given by the solar mixing angle. The neutrino masses are calculated: [Formula: see text], [Formula: see text] and [Formula: see text].

scholarly journals CHARGED LEPTON CORRECTION TO TRI-BIMAXIMAL LEPTON MIXING AND ITS IMPLICATIONS TO NEUTRINO PHENOMENOLOGY

2013 ◽  
Vol 28 (31) ◽  
pp. 1350131 ◽  
Author(s):  
SRINU GOLLU ◽  
K. N. DEEPTHI ◽  
R. MOHANTA
Keyword(s):  
Charged Lepton ◽  
Daya Bay ◽  
Neutrino Mixing ◽  
Mixing Angle ◽  
Quark Sector ◽  
Mass Matrices ◽  
Reactor Neutrino ◽  
Mixing Matrix ◽  
Neutrino Experiments ◽  
Reactor Mixing

The recent results from Daya Bay and RENO reactor neutrino experiments have firmly established that the smallest reactor mixing angle θ13 is nonvanishing at the 5 σ level, with a relatively large value, i.e. θ13 ≈ 9°. Using the fact that the neutrino mixing matrix can be represented as [Formula: see text], where Ul and Uν result from the diagonalization of the charged lepton and neutrino mass matrices and Pν is a diagonal matrix containing the Majorana phases and assuming the tri-bimaximal (TBM) form for Uν, we investigate the possibility of accounting for the large reactor mixing angle due to the corrections of the charged lepton mixing matrix. The form of Ul is assumed to be that of CKM mixing matrix of the quark sector. We find that with this modification it is possible to accommodate the large observed reactor mixing angle θ13. We also study the implications of such corrections on the other phenomenological observables.

A NEUTRINO MASS MODEL WITH REFLECTION SYMMETRY

2004 ◽  
Vol 19 (34) ◽  
pp. 2579-2586 ◽  
Author(s):  
AMBAR GHOSAL
Keyword(s):  
Neutrino Mass ◽  
Present Model ◽  
Majorana Neutrino ◽  
Double Beta Decay ◽  
Reflection Symmetry ◽  
Neutrino Mixing ◽  
Mass Model ◽  
Mixing Angle ◽  
Mass Matrices ◽  
Majorana Neutrino Mass

We demonstrate that an SU (2)L× U (1)Y model with the same particle content as Standard Model (SM) and discrete reflection symmetry between second and third generations of leptons gives rise to charged lepton and neutrino mass matrices which can accommodate the present solar, atmospheric, WMAP neutrino experimental results. The model predicts the value of |U13| which could be tested in neutrino factories and the effective Majorana neutrino mass <mee> which is at the lower end of the present experimental value. Neutrino masses are generated through dim=5 operators and the scale of which are constrained by the value of <mee>. If, in future neutrinoless double beta decay experiments namely, MOON, EXO, GENIUS shift the lower bound on <mee> by one order, the present model will fail to accommodate the solar neutrino mixing angle due to LMA solution.

scholarly journals NEUTRINO MIXING IN THE μνSSM

2013 ◽  
Vol 28 (24) ◽  
pp. 1350117 ◽  
Author(s):  
HAI-BIN ZHANG ◽  
TAI-FU FENG ◽  
LI-NA KOU ◽  
SHU-MIN ZHAO
Keyword(s):  
Mass Spectrum ◽  
Standard Model ◽  
Tree Level ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Top Down ◽  
Normal Ordering ◽  
Seesaw Mechanism ◽  
Mixing Angle ◽  
Neutrino Mass Spectrum

Recently, several reactor oscillation experiments have successively measured a nonzero value for the neutrino mixing angle θ13, which is greater than five standard deviations. Within framework of the μ from ν Supersymmetric Standard Model (μνSSM), three tiny neutrino masses are generated at the tree level through TeV scale seesaw mechanism. In this work, we analyze the neutrino masses and mixing in the μνSSM with a "top-down" method, assuming neutrino mass spectrum with normal ordering or inverted ordering.

scholarly journals NEUTRINO MASSES, COSMOLOGICAL BOUND AND FOUR ZERO YUKAWA TEXTURES

2011 ◽  
Vol 26 (32) ◽  
pp. 2427-2435 ◽  
Author(s):  
BISWAJIT ADHIKARY ◽  
AMBAR GHOSAL ◽  
PROBIR ROY
Keyword(s):  
Cp Violation ◽  
Light Neutrino ◽  
Neutrino Masses ◽  
Type I ◽  
High Scale ◽  
Parameter Region ◽  
Weak Basis ◽  
Majorana Mass ◽  
Mass Matrices ◽  
Normal Mass

Four zero neutrino Yukawa textures in a specified weak basis, combined with μτ symmetry and type-I seesaw, yield a highly constrained and predictive scheme. Two alternately viable 3×3 light neutrino Majorana mass matrices mνA/mνB result with inverted/normal mass ordering. Neutrino masses, Majorana in character and predicted within definite ranges with laboratory and cosmological inputs, will have their sum probed cosmologically. The rate for 0νββ decay, though generally below the reach of planned experiments, could approach it in some parameter region. Departure from μτ symmetry due to RG evolution from a high scale and consequent CP violation, with a Jarlskog invariant whose magnitude could almost reach 6×10-3, are explored.

scholarly journals Relating lepton mixing angles with lepton mass hierarchy

2016 ◽  
Vol 31 (04n05) ◽  
pp. 1650002
Author(s):  
Debasish Borah
Keyword(s):  
Neutrino Mass ◽  
Charged Lepton ◽  
Mass Matrix ◽  
Neutrino Masses ◽  
Mass Hierarchy ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Mass Matrices ◽  
Model Independent ◽  
The Difference

We revisit the possibility of relating lepton mixing angles with lepton mass hierarchies in a model-independent way. Guided by the existence of such relations in the quark sector, we first consider all the mixing angles, both in charged lepton and neutrino sectors to be related to the respective mass ratios. This allows us to calculate the leptonic mixing angles observed in neutrino oscillations as functions of the lightest neutrino mass. We show that for both normal and inverted hierarchical neutrino masses, this scenario does not give rise to correct leptonic mixing angles. We then show that correct leptonic mixing angles can be generated with normal hierarchical neutrino masses if the relation between mixing angle and mass ratio is restricted to 1–2 and 1–3 mixing in both charged lepton and neutrino sectors leaving the 2–3 mixing angles as free parameters. We then restrict the lightest neutrino mass as well as the difference between 2–3 mixing angles in charged lepton and neutrino sectors from the requirement of producing correct leptonic mixing angles. We constrain the lightest neutrino mass to be around 0.002 eV and leptonic Dirac CP phase [Formula: see text] such that [Formula: see text]. We also construct the leptonic mass matrices in terms of 2–3 mixing angles and lightest neutrino mass and briefly comment on the possibility of realizing texture zeros in the neutrino mass matrix.

Sign in / Sign up

Export Citation Format

Share Document