Features of quark and lepton mixing from differential geometry of curves on surfaces
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Features of quark and lepton mixing from differential geometry of curves on surfaces

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Features of quark and lepton mixing from differential geometry of curves on surfaces

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dc.contributor.author Bordes Villagrasa, José M.
dc.contributor.author Chan, Hong-Mo
dc.contributor.author Pfaudler, Jakov
dc.contributor.author Tsou, Sheung Tsun
dc.date.accessioned 2015-03-12T12:52:10Z
dc.date.available 2015-03-12T12:52:10Z
dc.date.issued 1998
dc.identifier.uri http://hdl.handle.net/10550/42710
dc.description.abstract It is noted that the Cabibbo-Kobayashi-Moskawa (CKM) matrix elements for both quarks and leptons as conceived in the dualized standard model (DSM) can be interpreted as direction cosines obtained by moving the Darboux trihedron (a 3-frame) along a trajectory on a sphere traced out through changing energy scales by a 3-vector factorized from the mass matrix. From the Darboux analogues of the well-known Serret-Frenet formulas for space curves, it is seen that the corner elements (Vub,Vtd for quarks, and Ue3,Utau1 for leptons) are associated with the (geodesic) torsion, while the other off-diagonal elements (Vus,Vcd and Vcb,Vts for quarks, and Ue2,Umu1 and Umu3,Utau2 for leptons) with the (respectively, geodesic and normal) curvatures of the trajectory. From this it follows that (i) the corner elements in both matrices are much smaller than the other elements, and (ii) the Umu3,Utau2 elements for the lepton CKM matrix are much larger than their counterparts in the quark matrix. Both these conclusions are strongly borne out by experiment, for quarks in hadron decays and for leptons in neutrino oscillations, and by previous explicit calculations within the DSM scheme.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 1998, vol. 58, num. 5, p. 053006
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Bordes Villagrasa, José M. Chan, Hong-Mo Pfaudler, Jakov Tsou, Sheung Tsun 1998 Features of quark and lepton mixing from differential geometry of curves on surfaces Physical Review D 58 5 053006
dc.subject Física
dc.title Features of quark and lepton mixing from differential geometry of curves on surfaces
dc.type info:eu-repo/semantics/article
dc.date.updated 2015-03-12T12:52:10Z
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevD.58.053006
dc.identifier.idgrec 030741

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