Nearest-neighbor interaction quark-lepton mass matrices in supersymmetric SU(5) grand unified theories

1998 ◽  
Vol 58 (7) ◽  
Author(s):  
Toshiaki Ito ◽  
Naotoshi Okamura ◽  
Morimitsu Tanimoto
Keyword(s):  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Grand Unified Theories ◽  
Mass Matrices ◽  
Unified Theories

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.

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

Symmetric versus antisymmetric mass matrices in grand unified theories

1980 ◽  
Vol 94 (3) ◽  
pp. 359-363 ◽  
Author(s):  
Aharon Davidson ◽  
Kameshwar C. Wali
Keyword(s):  
Grand Unified Theories ◽  
Mass Matrices ◽  
Unified Theories

Water, Water, Here and There

2018 ◽  
Author(s):  
Steven E. Vigdor
Keyword(s):  
Quark Mass ◽  
Mass Difference ◽  
Baryon Number ◽  
Electroweak Phase Transition ◽  
Hydrogen Burning ◽  
Quark Masses ◽  
Grand Unified Theories ◽  
Down Quark ◽  
Unified Theories ◽  
The Stability

Chapter 4 deals with the stability of the proton, hence of hydrogen, and how to reconcile that stability with the baryon number nonconservation (or baryon conservation) needed to establish a matter–antimatter imbalance in the infant universe. Sakharov’s three conditions for establishing a matter–antimatter imbalance are presented. Grand unified theories and experimental searches for proton decay are described. The concept of spontaneous symmetry breaking is introduced in describing the electroweak phase transition in the infant universe. That transition is treated as the potential site for introducing the imbalance between quarks and antiquarks, via either baryogenesis or leptogenesis models. The up–down quark mass difference is presented as essential for providing the stability of hydrogen and of the deuteron, which serves as a crucial stepping stone in stellar hydrogen-burning reactions that generate the energy and elements needed for life. Constraints on quark masses from lattice QCD calculations and violations of chiral symmetry are discussed.

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