(C) Other neutrino mixing results

The LSND collaboration reported in AGUILAR 2001 a signal which is consistent with ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$ oscillations. In a three neutrino framework, this would be a measurement of $\theta _{12}$ and $\Delta \mathit m{}^{2}_{21}$. This does not appear to be consistent with most of the other neutrino data. The following listings include results from ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$, ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$ appearance and ${{\mathit \nu}_{{{\mu}}}}$, ${{\overline{\mathit \nu}}_{{{\mu}}}}$, ${{\mathit \nu}_{{{e}}}}$, and ${{\overline{\mathit \nu}}_{{{e}}}}$ disappearance experiments, and searches for $\mathit CPT$ violation.

sin$^2(2{}\theta )$ for ``Large'' $\Delta \mathit m{}^{2}$ ( ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$) INSPIRE search

S067S2
VALUE ($ 10^{-3} $) CL% DOCUMENT ID TECN  COMMENT
• • • We do not use the following data for averages, fits, limits, etc. • • •
$<6.4\times 10^{2}$ 90 1
ANTONELLO
2013A
 ICAR ${{\overline{\mathit \nu}}_{{{e}}}}$ appearance
$<150$ 90 2
CHENG
2012
MBNE MiniBooNE/SciBooNE
$\text{0.4 - 9.0}$ 99 3
AGUILAR-AREVA..
2010
MBNE E$_{{{\mathit \nu}}}>$ 475 MeV
$\text{0.4 - 9.0}$ 99 4
AGUILAR-AREVA..
2010
MBNE E$_{{{\mathit \nu}}}>$ 200 MeV
$<3.3$ 90 5
AGUILAR-AREVA..
2009B
 MBNE MiniBooNE
$<1.7$ 90 6
ARMBRUSTER
2002
KAR2 Liquid Sci. calor.
$<1.1$ 90
AVVAKUMOV
2002
NTEV NUTEV FNAL
$5.3$ $\pm1.3$ $\pm9.0$ 7
AGUILAR
2001
LSND LAMPF
$6.2$ $\pm2.4$ $\pm1.0$ 8
ATHANASSOPOUL..
1996
LSND LAMPF
$\text{3 - 12}$ 80 9
ATHANASSOPOUL..
1995
$<6$ 90 10
HILL
1995
1  ANTONELLO 2013A obtained the limit by assuming ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$ oscillation from the $\sim{}2\%$ of ${{\overline{\mathit \nu}}_{{{\mu}}}}$ evnets contamination in the CNGS beam.
2  CHENG 2012 is a combined fit of MiniBooNE and SciBooNE antineutrino data.
3  This value is for a two neutrino oscillation analysis for excess antineutrino events with E$_{{{\mathit \nu}}}>$ 475 MeV. At 90$\%$ CL there is no solution at high $\Delta \mathit m{}^{2}$. The best fit is at maximal mixing. The allowed region is consistent with LSND reported by AGUILAR 2001. Supercedes AGUILAR-AREVALO 2009B.
4  This value is for a two neutrino oscillation analysis for excess antineutrino events with E$_{{{\mathit \nu}}}>$ 200 MeV with subtraction of the expected 12 events low energy excess seen in the neutrino component of the beam. At 90$\%$ CL there is no solution at high $\Delta \mathit m{}^{2}$. The best fit value is 0.007 for $\Delta \mathit m{}^{2}$ = 4.4 eV${}^{2}$.
5  This result is inconclusive with respect to small amplitude mixing suggested by LSND.
6  ARMBRUSTER 2002 is the final analysis of the KARMEN$~$2 data. See footnote in the preceding table for further details, and the paper for the exclusion plot.
7  AGUILAR 2001 is the final analysis of the LSND full data set. The deduced oscillation probability is $0.264$ $\pm0.067$ $\pm0.045\%$; the value of sin$^22\theta $ for large $\Delta \mathit m{}^{2}$ is twice this probability (although these values are excluded by other constraints). See footnote in preceding table for further details, and the paper for a plot showing allowed regions. Supersedes ATHANASSOPOULOS 1995, ATHANASSOPOULOS 1996, and ATHANASSOPOULOS 1998.
8  ATHANASSOPOULOS 1996 reports ($0.31$ $\pm0.12$ $\pm0.05)\%$ for the oscillation probability; the value of sin$^22\theta $ for large $\Delta \mathit m{}^{2}$ should be twice this probability. See footnote in preceding table for further details, and see the paper for a plot showing allowed regions.
9  ATHANASSOPOULOS 1995 error corresponds to the $1.6\sigma $ band in the plot. The expected background is $2.7$ $\pm0.4$ events. Corresponds to an oscillation probability of ($0.34$ ${}^{+0.20}_{-0.18}$ $\pm0.07)\%$. For a different interpretation, see HILL 1995. Replaced by ATHANASSOPOULOS 1996.
10  HILL 1995 is a report by one member of the LSND Collaboration, reporting a different conclusion from the analysis of the data of this experiment (see ATHANASSOPOULOS 1995). Contrary to the rest of the LSND Collaboration, Hill finds no evidence for the neutrino oscillation ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$ and obtains only upper limits.
  References:
ANTONELLO 2013A
EPJ C73 2599 Search for Anomalies in the ${{\mathit \nu}_{{{e}}}}$ Appearance from a ${{\mathit \nu}_{{{\mu}}}}$ Beam
CHENG 2012
PR D86 052009 Dual Baseline Search for Muon Antineutrino Disappearance at 0.1 eV${}^{2}$ $<$ $\Delta $m${}^{2}$ $<$ 100 eV${}^{2}$
AGUILAR-AREVALO 2010
PRL 105 181801 Event Excess in the MiniBooNE Search for ${{\overline{\mathit \nu}}_{{{\mu}}}}\leftrightarrow{{\overline{\mathit \nu}}_{{{e}}}}$ Oscillations
AGUILAR-AREVALO 2009B
PRL 103 111801 A Search for Electron Antineutrino Appearance at the $\Delta \mathit m{}^{2}$ $\sim{}$ 1$~$eV${}^{2}$ Scale
ARMBRUSTER 2002
PR D65 112001 Upper Limits for Neutrino Oscillations ${{\overline{\mathit \nu}}_{{{\mu}}}}-{{\overline{\mathit \nu}}_{{{e}}}}$ from Muon Decay at Rest
AVVAKUMOV 2002
PRL 89 011804 A Search for ${{\mathit \nu}_{{{\mu}}}}-{{\mathit \nu}_{{{e}}}}$ and ${{\overline{\mathit \nu}}_{{{\mu}}}}-{{\overline{\mathit \nu}}_{{{e}}}}$ Oscillations at NUTeV
AGUILAR 2001
PR D64 112007 Evidence for Neutrino Oscillations from the Observation of ${{\overline{\mathit \nu}}_{{{e}}}}$ Appearance in a ${{\overline{\mathit \nu}}_{{{\mu}}}}$ Beam
ATHANASSOPOULOS 1996
PR C54 2685 Evidence for Neutrino Oscillations from Muon Decay at Rest
ATHANASSOPOULOS 1995
PRL 75 2650 Candidate Events in a Search for ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\leftrightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$ Oscillations
HILL 1995
PRL 75 2654 Alternative Analysis of the LSND Neutrino Oscillation Search Data on ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\leftrightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$