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 QUARK MASSES AND MIXINGS IN E6×S3: A MONTE CARLO APPROACH

2007 ◽  
Vol 22 (16n17) ◽  
pp. 2921-2933 ◽  
Author(s):  
STEFANO MORISI
Keyword(s):  
Monte Carlo ◽  
Statistical Analysis ◽  
Analytical Study ◽  
Model Building ◽  
Flavor Symmetry ◽  
Cabibbo Angle ◽  
Quark Masses ◽  
Quark Sector ◽  
Fermion Masses ◽  
Free Parameters

Recently the authors of arXiv:hep-ph/0510321 propose a GUT model for fermion masses and mixings with spontaneously broken S3 discrete flavor symmetry, where S3 is the permutation group of three objects. The S3 breaking pattern in the quark sector is not studied and need further investigation. Since in such a model the number of free parameters is greater than the number of experimental observables, an analytical fit of all the parameters is impossible. To go forward with the model building and to deal with this problem we have used a statistical analysis. We have found that S3 is totally broken and the up-type quarks matrix is approximatively diagonal while down-type quarks matrix is not symmetric and it is parametrized by three couplings, gd, [Formula: see text] and [Formula: see text]. It has been found that [Formula: see text] is slightly smaller than gd = 1 and it is of order one, while [Formula: see text] where λ is the Cabibbo angle. An analytical study of the dependence of Vcb and Vub from the couplings [Formula: see text] and [Formula: see text] is also presented.

PredictiveAnsatzfor fermion mass matrices in supersymmetric grand unified theories

1992 ◽  
Vol 45 (11) ◽  
pp. 4192-4200 ◽  
Author(s):  
Savas Dimopoulos ◽  
Lawrence J. Hall ◽  
Stuart Raby
Keyword(s):  
Fermion Mass ◽  
Grand Unified Theories ◽  
Mass Matrices ◽  
Unified Theories

scholarly journals Employing nucleon decay as a fingerprint of SUSY GUT models using SusyTCProton

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Stefan Antusch ◽  
Christian Hohl ◽  
Vasja Susič
Keyword(s):  
Software Tool ◽  
Decay Rates ◽  
Low Energy ◽  
Nucleon Decay ◽  
Mixing Parameters ◽  
Grand Unified Theories ◽  
Fermion Masses ◽  
Unified Theories ◽  
Rich Information ◽  
Gut Scale

Abstract While the observation of nucleon decay would be a smoking gun of Grand Unified Theories (GUTs) in general, the ratios between the decay rates of the various channels carry rich information about the specific GUT model realization. To investigate this fingerprint of GUT models in the context of supersymmetric (SUSY) GUTs, we present the software tool SusyTCProton, which is an extension of the module SusyTC to be used with the REAP package. It allows to calculate nucleon decay rates from the relevant dimension five GUT operators specified at the GUT scale, including the full loop-dressing at the SUSY scale. As an application, we investigate the fingerprints of two example GUT toy models with different flavor structures, performing an MCMC analysis to include the experimental uncertainties for the charged fermion masses and CKM mixing parameters. While both toy models provide equally good fits to the low energy data, we show how they could be distinguished via their predictions of ratios for nucleon decay rates. Together with SusyTCProton we also make the additional module ProtonDecay public. It can be used independently from REAP and allows to calculate nucleon decay rates from given D = 5 and D = 6 operator coefficients (accepting the required SUSY input for the D = 5 case in SLHA format). The D = 6 functionality can also be used to calculate nucleon decay in non-SUSY GUTs.

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 VORTEX SOLUTION IN A MULTI-HIGGS SYSTEM AND ITS PHYSICAL IMPLICATION

1993 ◽  
Vol 08 (28) ◽  
pp. 2649-2655
Author(s):  
HOSEONG LA
Keyword(s):  
Vacuum Expectation ◽  
Higgs Potential ◽  
Expectation Values ◽  
Specific Relation ◽  
Higgs Vacuum ◽  
Physical Implication ◽  
Vortex Solution ◽  
Vortex Solutions

Classical vortex solutions in (1 + 2)-dimensional multi-Higgs systems are studied. In particular the existence of such a solution requires equal characteristic lengths and a specific relation between the ratio of the two Higgs vacuum expectation values and the couplings in the Higgs potential, if λ3 ≠ 0.

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