Charged lepton corrections to neutrino mixing angles and CP phases revisited

Antusch, S. and King, S.F. (2005) Charged lepton corrections to neutrino mixing angles and CP phases revisited. Physics Letters B, 631 (1-2), 42-47. (doi:10.1016/j.physletb.2005.09.075).

Abstract

We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive compact new results for small neutrino and charged lepton mixings View the MathML source and View the MathML source. We find a generic relation View the MathML source, which relates the prediction from the neutrino sector View the MathML source to the charged lepton mixing View the MathML source and to the MNS neutrino oscillation phase ?. We apply our formula to the examples of bimaximal or tri-bimaximal neutrino mixing. One implication is that the so-called quark–lepton complementarity relation ?12+?C=45° can only hold for ?=? and it gets modified in the presence of leptonic CP violation. On the other hand, the lepton mixing ?13 generated from the charged lepton correction View the MathML source is independent of CP phases and given by View the MathML source. Combining these results leads to a model-independent sum rule: View the MathML source where View the MathML source in the case of (tri-)bimaximal neutrino mixing, for example.

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