Mixing Matrix of Quarks Having Natural Twisting in E_6 Grand Unified Model

dc.creatorObara, Midori
dc.creatorCho, Gi-Chol
dc.creatorNagashima, Makiko
dc.creatorSugamoto, Akio
dc.date2001-05-28
dc.date2001-12-28
dc.date.accessioned2026-07-07T03:44:36Z
dc.date.available2026-07-07T03:44:36Z
dc.descriptionMass matrix of quarks is studied in the Supersymmetric $E_6$ Grand Unified Theory (GUT). The fundamental representation $\textbf{27}$ in $E_6$ which corresponds to one generation contains two sets of $\textbf{5}^{*}$'s in SU(5), so that there are six flavors of lepton doublets and right-handed down-quark triplets. It is known that the twisting (interchange) among the $\textbf{5}^{*}$ representations may reproduce the observed quark and lepton mixing matrices. If $E_6$ is directly broken down to $SU(3)_C \times SU(2)_L \times U(1)_Y$ and two extra U(1)'s, the extra 3 sets of down-type quarks do not necessarily decouple from the quark mass matrix, under the appropriate choice of the U(1) flavor charges on the quark and Higgs fields. Then, by diagonalizing the 6 $\times$ 6 down-quark mass matrix, we find a certain set of parameters, in which the twisting between a pair of the right-handed down-quarks occurs naturally, reproducing the reasonable values for the $d$-, $s$- and $b$-quark masses, and for $V_{ud}$, $V_{us}$, $V_{cd}$, $V_{cs}$ and $V_{tb}$ of the CKM matrix elements. As a by-product, one vector-like down-quark appears at the experimentally accessible TeV scale.
dc.description16 pages, latex, no figures, some discussions added, results unchanged
dc.identifierhttps://arxiv.org/abs/hep-ph/0105287
dc.identifierhttp://arxiv.org/abs/hep-ph/0105287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/40631
dc.subjectHigh Energy Physics - Phenomenology
dc.titleMixing Matrix of Quarks Having Natural Twisting in E_6 Grand Unified Model
dc.typetext

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