scholarly journals AN EXPLICIT SO(10)×U(1)F MODEL OF THE YUKAWA INTERACTIONS

1996 ◽  
Vol 11 (09) ◽  
pp. 737-747 ◽  
Author(s):  
CARL H. ALBRIGHT ◽  
SATYANARAYAN NANDI
Keyword(s):  
Matrix Element ◽  
Symmetry Group ◽  
Solar Neutrino ◽  
Charged Lepton ◽  
Atmospheric Neutrino ◽  
Vacuum Expectation ◽  
Expectation Values ◽  
Family Symmetry ◽  
Yukawa Couplings ◽  
Mass Matrices

We construct an explicit SO (10)× U (1)F model of the Yukawa interactions by using as a guide previous phenomenological results obtained from a bottom-up approach to quark and lepton mass matrices. The U (1)F family symmetry group sets the textures for the Majorana and generic Dirac mass matrices by restricting the type and number of Higgs diagrams which can contribute to each matrix element, while the SO(10) group relates each particular element of the up, down, neutrino and charged lepton Dirac matrices. The Yukawa couplings and vacuum expectation values associated with pairs of 1, 45, 10 and 126 Higgs representations successfully correlate all the quark and lepton masses and mixings in the scenario incorporating the nonadiabatic solar neutrino and atmospheric neutrino depletion effects.

scholarly journals INVERTED NEUTRINO MASS HIERARCHIES FROM U(1) SYMMETRIES

2006 ◽  
Vol 21 (26) ◽  
pp. 5187-5204 ◽  
Author(s):  
G. K. LEONTARIS ◽  
A. PSALLIDAS ◽  
N. D. VLACHOS
Keyword(s):  
Neutrino Mass ◽  
Atmospheric Neutrino ◽  
Vacuum Expectation ◽  
Family Symmetry ◽  
Mixing Angles ◽  
Lepton Flavor ◽  
Left Handed ◽  
Energy Models ◽  
Mass Matrices ◽  
Higgs Fields

Motivated by effective low energy models of string origin, we discuss the neutrino masses and mixing within the context of the Minimal Supersymmetric Standard Model supplemented by a U(1) anomalous family symmetry and additional Higgs singlet fields charged under this extra U(1). In particular, we interpret the solar and atmospheric neutrino data assuming that there are only three left-handed neutrinos which acquire Majorana masses via a lepton number violating dimension-five operator. We derive the general form of the charged lepton and neutrino mass matrices when two different pairs of singlet Higgs fields develop nonzero vacuum expectation values and show how the resulting neutrino textures are related to approximate lepton flavor symmetries. We perform a numerical analysis for one particular case and obtain solutions for masses and mixing angles, consistent with experimental data.

scholarly journals FLAVOR SYMMETRY AND VACUUM ALIGNED MASS TEXTURES

2007 ◽  
Vol 16 (05) ◽  
pp. 1427-1436 ◽  
Author(s):  
SATORU KANEKO ◽  
HIDEYUKI SAWANAKA ◽  
TAKAYA SHINGAI ◽  
MORIMITSU TANIMOTO ◽  
KOICHI YOSHIOKA
Keyword(s):  
Scalar Potential ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Flavor Symmetry ◽  
Yukawa Couplings ◽  
Flavor Changing ◽  
Symmetry Approach ◽  
Mass Matrices ◽  
Vanishing Elements ◽  
Higgs Fields

A texture-zeros is an approach to reduce the number of free parameters in Yukawa couplings and it is one of the most attractive ones. In our paper, we discuss the origin of zero-structure in texture-zeros by S3 flavor symmetry approach. Some of electroweak doublet Higgs fields have vanishing vacuum expectation value (VEV) which leads to vanishing elements in quark and lepton mass matrices. Then, the structure of supersymmetric scalar potential is analyzed and Higgs fields have non-trivial S3 charges. As a prediction of our paper, a lower bound of a MNS matrix element, Ue3 ≥ 0.04, is obtained. The suppression of flavor-changing neutral currents (FCNC) mediated by the Higgs fields is discussed and lower bounds of the Higgs masses are derived.

scholarly journals CAN MASSLESS AND LIGHT YUKAWAONS BE HARMLESS?

2010 ◽  
Vol 25 (08) ◽  
pp. 1725-1738 ◽  
Author(s):  
YOSHIO KOIDE
Keyword(s):  
Yukawa Coupling ◽  
Charged Lepton ◽  
Vacuum Expectation ◽  
Coupling Constants ◽  
Flavor Symmetry ◽  
Lepton Sector ◽  
Expectation Values ◽  
Charged Lepton Sector

In the so-called yukawaon model, where the effective Yukawa coupling constants [Formula: see text] are given by vacuum expectation values (VEV's) of gauge singlet scalars (yukawaons) Yf with 3×3 components, i.e. [Formula: see text], massless (and light) scalars appear because a global flavor symmetry is assumed. In order to demonstrate whether such massless scalars in the yukawaon model are harmless or not, yukawaon masses are explicitly estimated, as an example, in the charged lepton sector.

scholarly journals A NEW ANSATZ FOR QUARK AND LEPTON MASS MATRICES

1992 ◽  
Vol 07 (26) ◽  
pp. 2429-2435 ◽  
Author(s):  
GIAN F. GIUDICE
Keyword(s):  
Vacuum Expectation ◽  
Cabibbo Angle ◽  
Expectation Values ◽  
Higgs Vacuum ◽  
Grand Unified Theories ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Unified Theories ◽  
Free Parameters ◽  
Good Agreement

A new ansatz for quark and lepton mass matrices is proposed in the context of supersymmetric grand unified theories. The 13 parameters describing fermion masses and mixings are determined in terms of only 6 free parameters, allowing 7 testable predictions. The values of Vus, Vcb, Vub, mu, md, ms and mb are then predicted as a function of the 3 charged lepton masses, mc, mt and tan β, the ratio of Higgs vacuum expectation values. In particular the Cabibbo angle and ms/md are determined in terms of only lepton masses. All predictions are in very good agreement with experiments.

scholarly journals PRIVATE HIGGS AT THE LHC

2013 ◽  
Vol 28 (28) ◽  
pp. 1350149 ◽  
Author(s):  
YONI BENTOV ◽  
A. ZEE
Keyword(s):  
Dark Matter ◽  
Degrees Of Freedom ◽  
Vacuum Expectation ◽  
Mass Hierarchy ◽  
Neutrino Mixing ◽  
Leading Order ◽  
Expectation Values ◽  
Mixing Angles ◽  
Yukawa Couplings

We study the LHC phenomenology of a general class of "Private Higgs" (PH) models, in which fermions obtain their masses from their own Higgs doublets with [Formula: see text] Yukawa couplings, and the mass hierarchy is translated into a dynamical chain of vacuum expectation values. This is accomplished by introducing a number of light gauge-singlet scalars, the "darkons," some of which could play the role of dark matter. These models allow for substantial modifications to the decays of the lightest Higgs boson, for instance through mixing with TeV-scale PH fields and light darkons: in particular, one could accommodate [Formula: see text] flavor-uncorrelated deviations from the SM [Formula: see text] vertices with TeV-scale degrees of freedom. We also discuss a new implementation of the PH framework, in which the quark and neutrino mixing angles arise as one-loop corrections to the leading order picture.

scholarly journals Parameter-independent quark mass relation in the U(3) × U(3)′ model

2018 ◽  
Vol 33 (39) ◽  
pp. 1850230
Author(s):  
Yoshio Koide ◽  
Hiroyuki Nishiura
Keyword(s):  
Charged Lepton ◽  
Quark Mass ◽  
Mass Matrix ◽  
Mass Relation ◽  
Family Symmetry ◽  
Quark Masses ◽  
Down Quark ◽  
Mass Matrices ◽  
Additional Input ◽  
Matrix Formula

Recently, we have proposed a quark mass matrix model based on U(3) × U(3)[Formula: see text] family symmetry, in which up- and down-quark mass matrices [Formula: see text] and [Formula: see text] are described only by complex parameters [Formula: see text] and [Formula: see text], respectively. When we use charged lepton masses as additional input values, we can successfully obtain predictions for quark masses and Cabibbo–Kobayashi–Maskawa mixing. Since we have only one complex parameter [Formula: see text] for each mass matrix [Formula: see text], we can obtain a parameter-independent mass relation by using three equations for [Formula: see text], [Formula: see text] and [Formula: see text], where [Formula: see text] ([Formula: see text]). In this paper, we investigate the parameter-independent feature of the quark mass relation in the model.

THE PERTURBATIVE αs CORRECTIONS TO THE $K^0 - \bar K^0 $ MIXING MATRIX ELEMENT

1995 ◽  
Vol 10 (22) ◽  
pp. 3125-3141 ◽  
Author(s):  
A.A. PIVOVAROV
Keyword(s):  
Matrix Element ◽  
Sum Rules ◽  
Chiral Limit ◽  
Vacuum Expectation ◽  
Expectation Values ◽  
Kaon Mass ◽  
Mixing Matrix ◽  
Local Operators

The leading αs corrections to the B parameter of the [Formula: see text] mixing matrix element are calculated within the sum rules method. Numerical estimates given in the framework of the factorization hypothesis for vacuum expectation values of four-quark local operators show a decrease of the [Formula: see text] matrix element from the factorized value by about 20% at the normalization point μ~1 GeV. The nonanalytical dependence of the B parameter on the kaon mass mK (~a, log mK) is discovered in the chiral limit.

scholarly journals SU(5)-COMPATIBLE YUKAWAON MODEL

2012 ◽  
Vol 27 (06) ◽  
pp. 1250028 ◽  
Author(s):  
YOSHIO KOIDE
Keyword(s):  
Yukawa Coupling ◽  
Vacuum Expectation ◽  
Coupling Constants ◽  
Expectation Values ◽  
Family Symmetry

It is investigated what constraints are imposed on the so-called yukawaon model when we regard quarks and leptons as [Formula: see text] of SU(5) (i = 1, 2, 3: index of U(3) family symmetry). In past yukawaon models, the effective Yukawa coupling constants [Formula: see text] are given by vacuum expectation values of fields Yf ("yukawaons") as [Formula: see text]. In order to build a model without a cutoff scale Λ, vector-like fields [Formula: see text] are introduced in addition to the conventional quarks and leptons. The U(3) family symmetry is broken at 〈Yf〉~1013 GeV .

scholarly journals Neutrino Masses and SO(10) SUSY GUTs

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 569-575
Author(s):  
Stuart Raby
Keyword(s):  
Solar Neutrino ◽  
Atmospheric Neutrino ◽  
Neutrino Masses ◽  
Family Symmetry ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Charged Fermion ◽  
Fermion Masses ◽  
Global Fit ◽  
Precision Electroweak Data

In this talk I discuss the qualitative features of an SO(10) SUSY GUT with an SU (2)× U (1) n family symmetry. I then describe the global fit of this theory to precision electroweak data [including charged fermion masses and mixing angles]. Finally, the predictions of the model for neutrino masses and mixing are discussed. The most predictive version of the model naturally fits atmospheric neutrino data with maximal νμ→ντ oscillations and solar neutrino data with small mixing angle MSW νe→νsterile oscillations.

scholarly journals Three-Neutrino Mass Matrices with Two Texture Zeros

2003 ◽  
Vol 18 (20) ◽  
pp. 1355-1365 ◽  
Author(s):  
Bipin R. Desai ◽  
Alexander R. Vaucher ◽  
D. P. Roy
Keyword(s):  
Neutrino Oscillation ◽  
Neutrino Mass ◽  
Charged Lepton ◽  
Quark Mass ◽  
Atmospheric Neutrino ◽  
Neutrino Masses ◽  
Inverted Hierarchy ◽  
Mixing Angle ◽  
Mass Matrices

Out of the 15 3 × 3 neutrino mass matrices with two texture zeros, seven are compatible with the neutrino oscillation data. While two of them correspond to hierarchical neutrino masses and 1 to an inverted hierarchy, the remaining four correspond to degenerate masses. Moreover only the first three of the seven mass matrices are compatible with the maximal mixing angle of atmospheric neutrino and hence favored by data. We give compact expressions for mass matrices in terms of mass eigenvalues and study phenomenological implications for the seven cases. Similarity of the textures of the neutrino, charged-lepton mass matrices with those of quark mass matrices is also discussed.

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