Charged lepton corrections to neutrino mixing angles and CP phases revisited

By S. Antusch, S. King. 2005

183 citations recorded by the source corpus.

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 θ 13 ν and θ 13 e . We find a generic relation θ 12 + 1 2 θ 12 e cos ( δ − π ) ≈ θ 12 ν , which relates the prediction from the neutrino sector θ 12 ν to the charged lepton mixing θ 12 e and to the MNS neutrino oscillation phase δ. 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 θ 12 + θ C = 45 ° can only hold for δ = π and it gets modified in the presence of leptonic CP violation. On the other hand, the lepton mixing θ 13 generated from the charged lepton correction θ 12 e is independent of CP phases and given by θ 13 = 1 2 θ 12 e . Combining these results leads to a model-independent sum rule: θ 12 + θ 13 cos ( δ − π ) ≈ θ 12 ν where θ 12 ν = ( 35.26 ° ) 45 ° in the case of (tri-)bimaximal neutrino mixing, for example.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0f5030f006f341c7e68db33316466d5db26881eb

Citations in the corpus

• A(4) family symmetry and quark-lepton unification (2006, unknown): “In particular, the constrained sequential dominance is realized and tri-bimaximal neutrino mixing results, with calculable deviations expressed in terms of neutrino sum rules [31, 41].”