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Correlated, precision measurements of θ<inf>23</inf> and δ using only the electron neutrino appearance experiments

Abstract:

Precision measurement of the leptonic CP violating phase δ will suffer from the, then surviving, large uncertainty of sin-2θ23 of 10-20% in the experimentally interesting region near maximal mixing of θ23. We advocate a new method for determination of both θ23 and δ at the same time using only the νe and ν̄e appearance channels and show that sin-2θ23 can be determined automatically with much higher accuracy, approximately a factor of six, than sin-δ. In this method, we identify a new degeneracy for the simultaneous determination of θ23 and δ, the θ23 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. © 2013 American Physical Society.