# $\delta$, $\boldsymbol CP$ violating phase INSPIRE search

Measurements of $\delta$ come from atmospheric and accelarator experiments looking at ${{\mathit \nu}_{{e}}}$ appearance. We encode values between 0 and 2$\pi$, though it is equivalent to use $\text{-}\pi$ to $\pi$.
VALUE (${{\mathit \pi}}$ rad) CL% DOCUMENT ID TECN  COMMENT
• • • We do not use the following data for averages, fits, limits, etc. • • •
$1.45$ ${}^{+0.27}_{-0.26}$
 2017 F
T2K Normal mass ordering
$1.54$ ${}^{+0.22}_{-0.23}$
 2017 F
T2K Inverted mass ordering
$1.50$ ${}^{+0.53}_{-0.57}$ 1
 2017 B
NOVA Inverted mass ordering for angle second quadrant
$0.74$ ${}^{+0.57}_{-0.93}$ 1
 2017 B
NOVA Normal mass ordering for angle second quadrant
$1.48$ ${}^{+0.69}_{-0.58}$ 1
 2017 B
NOVA Normal mass ordering for angle first quadrant
$\text{ 0.0 to 0.1, 0.5 to 2.0}$ 90 2, 1
 2016
NOVA Inverted mass ordering
$0.0\text{ to }2.0$ 90 2
 2016
NOVA Normal mass ordering
$\text{ 0 to 0.15, 0.83 to 2}$ 90
 2015 D
T2K Normal mass ordering
$1.09\text{ to }1.92$ 90
 2015 D
T2K Inverted mass ordering
$0.05\text{ to }1.2$ 90 3
 2014
MINS Normal mass ordering
$1.34$ ${}^{+0.64}_{-0.38}$
 2014
FIT Normal mass ordering
$1.48$ ${}^{+0.34}_{-0.32}$
 2014
FIT Inverted mass ordering
$1.70$ ${}^{+0.22}_{-0.39}$ 4
 2014
FIT Normal mass ordering; global fit
$1.41$ ${}^{+0.35}_{-0.34}$ 4
 2014
FIT Inverted mass ordering; global fit
$\text{ 0 to 1.5 or 1.9 to 2}$ 90 5
 2013 A
MINS Normal mass ordering
1  Errors are projections of 68$\%$ C.L. curve of $\delta _{CP}$ vs. sin$^2{{\mathit \theta}_{{23}}}$.
2  ADAMSON 2016 result is based on a data sample with $2.74 \times 10^{20}$ protons on target. The likelihood-based analysis observed 6 ${{\mathit \nu}_{{e}}}$ events with an expected background of $0.99$ $\pm0.11$ events.
3  ADAMSON 2014 result is based on three-flavor formalism and ${{\mathit \theta}_{{23}}}>{{\mathit \pi}}$/4. Likelihood as a function of $\delta$ is also shown for the other three combinations of hierarchy and ${{\mathit \theta}_{{23}}}$ quadrant; all values of $\delta$ are allowed at 90$\%$ C.L.
4  GONZALEZ-GARCIA 2014 result comes from a frequentist global fit. The corresponding Bayesian global fit to the same data results are reported in BERGSTROM 2015 as 68$\%$ CL intervals of $1.24 - 1.94$ for normal and $1.15 - 1.77$ for inverted mass ordering.
5  ADAMSON 2013A result is based on ${{\mathit \nu}_{{e}}}$ appearance in MINOS and the calculated sin$^2(2{{\mathit \theta}_{{23}}})$ = 0.957,${{\mathit \theta}_{{23}}}>{{\mathit \pi}}$/4, and normal mass hierarchy. Likelihood as a function of$\delta$ is also shown for the other three combinations of hierarchy and ${{\mathit \theta}_{{23}}}$quadrant; all values of $\delta$ are allowed at 90$\%$ C.L.
References:
 ABE 2017F
PR D96 092006 Measurement of Neutrino and Antineutrino Oscillations by the T2K Experiment Including a New Additional Sample of ${{\mathit \nu}_{{e}}}$ Interactions at the Far Detector
PRL 118 231801 Constraints on Oscillation Parameters from νe Appearance and ${{\mathit \mu}_{{\nu}}}$ Disappearance in NOvA
PR D91 072010 Measurements of Neutrino Oscillation in Appearance and Disappearance Channels by the T2K Experiment with $6.6 \times 10^{20}$ Protons on Target
PRL 112 191801 Combined Analysis of ${{\mathit \nu}_{{\mu}}}$ Disappearance and ${{\mathit \nu}_{{\mu}}}\rightarrow{{\mathit \nu}_{{e}}}$ Appearance in MINOS using Accelerator and Atmospheric Neutrinos
JHEP 1411 052 Updated Fit to Three Neutrino Mixing: Status of Leptonic $\mathit CP$ Violation