Third family corrections to tri-bimaximal lepton mixing and a new sum rule

Antusch, Stefan, King, Stephen F. and Malinsky, Michal (2009) Third family corrections to tri-bimaximal lepton mixing and a new sum rule. Physics Letters B, 671 (2), 263-266. (doi:10.1016/j.physletb.2008.12.013).

Abstract

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 ? + 2/3a (where s,r,a describe the deviations of solar, reactor and atmospheric mixing angles from their tri-bimaximal values, and ? 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.

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