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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.physletb.2008.12.013
Additional Information: arXiv:0711.4727v2
Related URLs:
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Physics and Astronomy
ePrint ID: 56982
Accepted Date and Publication Date:
5 December 2007Published
Date Deposited: 13 Aug 2008
Last Modified: 31 Mar 2016 12:37

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