Neutrino luminosity and matter-induced modification of collective neutrino flavor oscillations in supernovae
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Precision measurement of the leptonic CP violating phase δ will suffer from the, then surviving, large uncertainty of sin 2 θ 23 of 10–20% in the experimentally interesting region near maximal mixing of θ 23 . We advocate a new method for determination of both θ 23 and δ at the same time using only the ν e and ν̄ e appearance channels and show that sin 2 θ 23 can be determined automatically with much higher accuracy, approximately a factor of six, than sinδ. In this method, we identify a new degeneracy for the simultaneous determination of θ 23 and δ, the θ 23 intrinsic degeneracy, which must be resolved in order to achieve precision measurement of these two parameters. Spectral information around the vacuum oscillation maxima is shown to be the best way to resolve this degeneracy.
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