The commutator formalism and CP violation. Super elementary theory of flavour projection operators. The outline of this talk is as follows: The origin of the quark mixing matrix. Theory of quark mixing matrix and invariant functions of mass matrices The paper may be also viewed as an introduction to a new method of intrinsic dynamical description of lepton and quark mass matrices. The model is motivated by the author's previous work on three replicas of the Dirac particle, presumably resulting into three generations of leptons and quarks. All moduli are consistent with their experimental limits. The CKM matrix is nonsymmetric in moduli with |V ub | being very small. In terms of an intergeneration U(3) algebra, a numerical model is constructed for quark mass matrices, predicting the top- quark mass around 170 GeV and the CP-violating phase around 75 deg. A solution to the strong CP-problem is providedĪn algebraic model for quark mass matrices with heavy top

The author discusses the first natural derivation of the Stech-type mass matrix in unified gauge theories. This paper presents the theoretical origin of specific quark mass matrices in the grand unified theories. International Nuclear Information System (INIS) Theoretical origin of quark mass matrices The particular case of the so-called nearest-neighbour-interaction pattern is also discussed. It is shown that all non-weak-basis pairs of quark mass matrices that contain nine zeroes are not compatible with current experimental data. Without any further assumptions, none of these pairs of up- and down- quark mass matrices has physical content. It is also found that all pairs composed of a nonsingular matrix with five zeroes and a nonsingular and nondecoupled matrix with four zeroes simply correspond to a weak basis choice.

In the weak basis where a quark mass matrix is nonsingular and has six zeroes in one sector, we find that there are 54 matrices with three zeroes in the other sector, obtainable through right-handed weak basis transformations. The nine zero entries can only be distributed between the up- and down- quark sectors in matrix pairs with six and three texture zeroes or five and four texture zeroes.

Since there are ten physical observables, namely, six nonvanishing quark masses, three mixing angles and one CP phase, the maximum number of texture zeroes in both quark sectors is altogether nine. We look for all weak bases that lead to texture zeroes in the quark mass matrices and contain a minimal number of parameters in the framework of the standard model. More about unphysical zeroes in quark mass matricesĮnergy Technology Data Exchange (ETDEWEB)Įmmanuel-Costa, David, E-mail: [Departamento de FÃsica and Centro de FÃsica TeÃ³rica de PartÃculas - CFTP, Instituto Superior TÃ©cnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa (Portugal) GonzÃ¡lez Felipe, Ricardo, E-mail: [Departamento de FÃsica and Centro de FÃsica TeÃ³rica de PartÃculas - CFTP, Instituto Superior TÃ©cnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa (Portugal) ISEL - Instituto Superior de Engenharia de Lisboa, Instituto PolitÃ©cnico de Lisboa, Rua Conselheiro EmÃdio Navarro, 1959-007 Lisboa (Portugal)

Sea wolf express russian gev