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- W2255232021 abstract "By imposing a specific $S_{3}$ discrete symmetry for fermions and scalars, we extend the group of the model based on the gauge symmetry $SU(3)_{C}otimes SU(3)_{L}otimes U(1)_{X}$. We found that after the symmetry breaking of the continuous group, all the down type quarks acquire tree level masses, while in the up sector only the top quark and a new heavy T quark obtain masses at tree level. By imposing hierarchical Yukawa couplings between the ordinary down-type quarks and new heavy down-type quarks, we may explain the relation $m_{d}<<m_{s}<<m_{b}$. The massless up-type quarks get small mass terms through effective six dimensional operators according to the gauge and discrete symmetries. In particular, the smallness of the u quark can be understood by a small deviation in the universality of the dimensionless couplings associated to the effective operators. We also obtain with only four free parameters, the magnitudes of the CKM matrix elements and the Jarlskog invariant, within experimental error values." @default.
- W2255232021 created "2016-06-24" @default.
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- W2255232021 date "2013-09-25" @default.
- W2255232021 modified "2023-09-27" @default.
- W2255232021 title "Quark masses and mixing in $SUleft(3right)_{C}otimes SUleft(3right)_{L}otimes Uleft(1right)_{X}otimes S_{3}$ models" @default.
- W2255232021 hasPublicationYear "2013" @default.
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