Third family corrections to tri-bimaximal lepton mixing and a new sum rule
Antusch, Stefan, King, Stephen F. and Malinsky, Michal (2007) Third family corrections to tri-bimaximal lepton mixing and a new sum rule. Pre-print, 1-5. (doi:10.1016/j.physletb.2008.12.013).
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We investigate the theoretical stability of the predictions of tri-bimaximal neutrino mixing with respect to third family wave-function corrections. Such third family wave-function corrections can arise from either the canonical normalisation of the kinetic terms or renormalisation group running effects. At leading order both sorts of corrections can be subsumed into a single universal parameter. For hierarchical neutrinos, this leads to a new testable lepton mixing sum rule 's = r cos delta + 2/3 a' (where s, r, a describe the deviations of solar, reactor and atmospheric mixing angles from their tri-bimaximal values, and 'delta' is the observable Dirac CP phase) which is stable under all leading order third family wave-function corrections, as well as Cabibbo-like charged lepton mixing effects.
|Digital Object Identifier (DOI):||doi:10.1016/j.physletb.2008.12.013|
|Subjects:||Q Science > QC Physics|
|Divisions:||University Structure - Pre August 2011 > School of Physics and Astronomy
|Date Deposited:||13 Aug 2008|
|Last Modified:||08 Oct 2015 10:22|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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