2004/04/30 by Martti Raidal, M. Raidal · 9 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #CP violation #Cabibbo–Kobayashi–Maskawa matrix #Electron #Fermion #Grand Unified Theory #Lepton #Matrix (chemical analysis) #Mixing (physics) #Mixing patterns #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum mechanics #Quark #astro-ph #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevlett.93.161801
published as Phys.Rev.Lett.93:161801,2004 · references added, title changed in journal
openalex publication_date 2004/10/15 · arxiv created 2004/12/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We argue that there exists a simple relation between the quark and lepton mixings, which supports the idea of grand unification and probes the underlying robust bimaximal fermion mixing structure of still unknown flavor physics. In this framework the quark mixing matrix is a parameter matrix describing the deviation of neutrino mixing from exactly bimaximal, predicting \ensuremathθsol+\ensuremathθC=\ensuremathπ/4, where \ensuremathθC is the Cabibbo angle, \ensuremathθatm+\ensuremathθ23CKM=\ensuremathπ/4 and \ensuremathθ13MNS\ensuremath∼\ensuremathθ13CKM\ensuremath∼O(\ensuremathλ3), in perfect agreement with experimental data. Both non-Abelian and Abelian flavor symmetries are needed for such a prediction to be realistic. An example flavor model capable of explaining this flavor mixing pattern and inducing the measured quark and lepton masses is outlined.