Mixing Angles and Non-Degenerate Systems of Particles

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dc.creatorDuret, Quentin
dc.creatorMachet, Bruno
dc.date2006-06-29
dc.date2006-09-11
dc.date.accessioned2026-07-07T10:25:03Z
dc.date.available2026-07-07T10:25:03Z
dc.descriptionDefining, in the framework of quantum field theory, their mass eigenstates through their matricial propagator, we show why the mixing matrices of non-degenerate coupled systems should not be parametrized as unitary. This is how, for leptonic binary systems, two-angles solutions with discrete values pi/4 [pi/2] and pi/2 [pi] (in addition to the trivial case 0 [pi]) arise when weak leptonic currents of mass eigenstates approximately satisfy the two properties of universality and vanishing of their non-diagonal neutral components. Charged weak currents are also discussed, which leads to a few remarks concerning oscillations. We argue that quarks, which cannot be defined on shell because of the confinement property, are instead more naturally endowed with unitary Cabibbo-like mixing matrices, involving a single unconstrained mixing angle. The similarity between neutrinos and neutral kaons is outlined, together with the role of the symmetry by exchange of families.
dc.description1 sentence added in the abstract
dc.identifierhttps://arxiv.org/abs/hep-ph/0606303
dc.identifierhttp://arxiv.org/abs/hep-ph/0606303
dc.identifierPhys.Lett.B643:303-310,2006
dc.identifierdoi:10.1016/j.physletb.2006.09.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176411
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleMixing Angles and Non-Degenerate Systems of Particles
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