# (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'' $\Delta \boldsymbol m{}^{2}$ ( ${{\overline{\boldsymbol \nu}}_{{\mu}}}$ $\rightarrow$ ${{\overline{\boldsymbol \nu}}_{{e}}}$ ) INSPIRE search

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
 2013 A
ICAR ${{\overline{\mathit \nu}}_{{e}}}$ appearance
$<150$ 90 2
 2012
MBNE MiniBooNE/SciBooNE
$\text{0.4 - 9.0}$ 99 3
 2010
MBNE E$_{{{\mathit \nu}}}>$ 475 MeV
$\text{0.4 - 9.0}$ 99 4
 2010
MBNE E$_{{{\mathit \nu}}}>$ 200 MeV
$<3.3$ 90 5
 2009 B
MBNE MiniBooNE
$<1.7$ 90 6
 2002
KAR2 Liquid Sci. calor.
$<1.1$ 90
 2002
NTEV NUTEV FNAL
$5.3$ $\pm1.3$ $\pm9.0$ 7
 2001
LSND LAMPF
$6.2$ $\pm2.4$ $\pm1.0$ 8
 1996
LSND LAMPF
$\text{3 - 12}$ 80 9
 1995
$<6$ 90 10
 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 ${{\overline{\mathit \nu}}_{{\mu}}}$ $\leftrightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$