{ "id": "hep-ph/0606303", "version": "v2", "published": "2006-06-29T14:42:54.000Z", "updated": "2006-09-11T08:43:18.000Z", "title": "Mixing Angles and Non-Degenerate Systems of Particles", "authors": [ "Quentin Duret", "Bruno Machet" ], "comment": "1 sentence added in the abstract", "journal": "Phys.Lett.B643:303-310,2006", "doi": "10.1016/j.physletb.2006.09.030", "categories": [ "hep-ph", "hep-th" ], "abstract": "Defining, 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.", "revisions": [ { "version": "v2", "updated": "2006-09-11T08:43:18.000Z" } ], "analyses": { "subjects": [ "14.60.Pq", "12.15.Ff", "11.10.-z" ], "keywords": [ "mixing angle", "non-degenerate systems", "quantum field theory", "leptonic binary systems", "non-diagonal neutral components" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 720444 } } }