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تسجيل مستخدم جديدCan the matter-antimatter asymmetry be easier to understand within the spin-charge-family-theory, predicting twice four families and two times $SU(2)$ vector gauge and scalar fields?
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N. S. Mankoc Borstnik
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This contribution is an attempt to try to understand the matter-antimatter asymmetry in the universe within the {it spin-charge-family-theory} if assuming that transitions in non equilibrium processes among instanton vacua and complex phases in mixing matrices are the sources of the matter-antimatter asymmetry, as studied in the literature for several proposed theories. The {it spin-charge-family-theory} is, namely, very promising in showing the right way beyond the {it standard model}. It predicts families and their mass matrices, explaining the origin of the charges and of the gauge fields. It predicts that there are, after the universe passes through two $SU(2)times U(1)$ phase transitions, in which the symmetry breaks from $SO(1,3) times SU(2) times SU(2) times U(1) times SU(3)$ first to $SO(1,3) times SU(2) times U(1) times SU(3)$ and then to $SO(1,3) times U(1) times SU(3)$, twice decoupled four families. The upper four families gain masses in the first phase transition, while the second four families gain masses at the electroweak break. To these two breaks of symmetries the scalar non Abelian fields, the (superposition of the) gauge fields of the operators generating families, contribute. The lightest of the upper four families is stable (in comparison with the life of the universe) and is therefore a candidate for constituting the dark matter. The heaviest of the lower four families should be seen at the LHC or at somewhat higher energies.
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The assumptions of the {it standard model}, which 50 years ago offered an elegant new step towards understanding basic fermion and boson fields, are still waiting for an explanation. The {it spin-charge-family} theory is promising not only in explain
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widetilde{SU}(2)$ determining family quantum numbers, and by the contributions of the dynamical fields of the two scalar triplets and the three scalar singlets with the family members quantum numbers ($tau^{alpha}=(Q, Q,Y)$) --- manifest the symmetry $widetilde{SU}(2) times widetilde{SU}(2) times U(1)$. All scalars carry the weak and the hyper charge of the standard model higgs field ($pm frac{1}{2},mp frac{1}{2}$, respectively). It is demonstrated, using the massless spinor basis, that the symmetry of the $4times4$ mass matrices remains $SU(2) times SU(2) times U(1)$ in all loop corrections, and it is discussed under which conditions this symmetry is kept under all corrections, that is with the corrections induced by the repetition of the nonzero vacuum expectation values included.
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