Abstract
We revisit correlations of neutrino oscillation parameters in reactor and long-baseline neutrino oscillation experiments. A framework based on an effective value of ${\ensuremath{\theta}}_{13}$ is presented, which can be used to analytically study the correlations and explain some questions including why and when ${\ensuremath{\delta}}_{CP}$ has the best fit value of $\ensuremath{-}\ensuremath{\pi}/2$, why current and future long-baseline experiments will have less precision of ${\ensuremath{\delta}}_{CP}$ around $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}/2$ than that around zero, etc. Recent hints on the $CP$ phase are then considered from the point of view that different reactor and long-baseline neutrino experiments provide currently different best-fit values of ${\ensuremath{\theta}}_{13}$ and ${\ensuremath{\theta}}_{23}$. We point out that the significance of the hints changes for the different available best-fit values.
Highlights
Short-baseline reactor and long-baseline accelerator neutrino experiments are of huge importance in the era of neutrino oscillation precision measurements
The interplay of long- and short-baseline experiments is exemplified by the dependence of the electron antineutrino survival probability in reactor experiments, which depends on θ13, and the νμ → νe transition probability in accelerator experiments, which depends on θ13, θ23, δCP and the mass ordering
For analyses including all available neutrino data, we would like to refer to the global fit work [5,6,7]
Summary
Short-baseline reactor and long-baseline accelerator neutrino experiments are of huge importance in the era of neutrino oscillation precision measurements. The interplay of long- and short-baseline experiments is exemplified by the dependence of the electron antineutrino survival probability in reactor experiments, which depends on θ13, and the νμ → νe (or νμ → νe) transition probability in accelerator experiments, which depends on θ13, θ23, δCP and the mass ordering. Inserting the reactor determination of θ13, as well as θ23 values from atmospheric data or longbaseline muon neutrino survival probabilities, into νμ → νe (or νμ → νe) measurements can give hints on the CP phase [1,2]. Recently hints towards nontrivial values of the CP phase δCP and some preference of the normal ordering over the inverted one were found in combining short-baseline reactor and longbaseline accelerator neutrino experiments; see Refs. Recently hints towards nontrivial values of the CP phase δCP and some preference of the normal ordering over the inverted one were found in combining short-baseline reactor and longbaseline accelerator neutrino experiments; see Refs. [5,6,7] for recent global fits
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