(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 MiniBooNE experiment, reported in AGUILAR-AREVALO 2007 , does a two-neutrino analysis which, assuming $\mathit CP$ conservation, rules out AGUILAR 2001 . However, the MiniBooNE antineutrino data reported in AGUILAR-AREVALO 2013A are consistent with the signal reported in AGUILAR 2001 . The following listings include results which might be relevant towards understanding these observations. They include searches for ${{\mathit \nu}_{{\mu}}}$ $\rightarrow$ ${{\mathit \nu}_{{e}}}$ , ${{\overline{\mathit \nu}}_{{\mu}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ , sterile neutrino oscillations, and $\mathit CPT$ violation.

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

VALUE ($10^{-3}$) CL% DOCUMENT ID TECN  COMMENT
$\bf{<1.8}$ 90 1
 1997
CCFR FNAL
• • • We do not use the following data for averages, fits, limits, etc. • • •
$<3.8$ 90 2
 1995
CCFR FNAL
$<3$ 90
 1992
CNTR BNL E776
1  ROMOSAN 1997 uses wideband beam with a $0.5~$km decay region.
2  MCFARLAND 1995 state that This result is the most stringent to date for 250$<\Delta \mathit m{}^{2}<$450 eV${}^{2}$ and also excludes at 90$\%$CL much of the high $\Delta \mathit m{}^{2}$ region favored by the recent LSND observation.'' See ATHANASSOPOULOS 1995 and ATHANASSOPOULOS 1996 .
References:
 ROMOSAN 1997
PRL 78 2912 A High Statistics Search for ${{\mathit \nu}_{{\mu}}}$ (${{\overline{\mathit \nu}}_{{\mu}}}$) $\rightarrow$ ${{\mathit \nu}_{{e}}}$ (${{\overline{\mathit \nu}}_{{e}}}$) Oscillations in the Small Mixing Angle Regime
 MCFARLAND 1995
PRL 75 3993 A Limit on ${{\mathit \nu}_{{\mu}}}$ (${{\overline{\mathit \nu}}_{{\mu}}}$) $\rightarrow$ ${{\mathit \nu}_{{\tau}}}$ (${{\overline{\mathit \nu}}_{{\tau}}}$) Oscillations from a Precision Measurement of Neutrino-Nucleon Neutral Current Interactions
 BORODOVSKY 1992
PRL 68 274 Search for ${{\mathit \nu}_{{\mu}}}$ Oscillations ${{\mathit \nu}_{{\mu}}}$ $\rightarrow$ ${{\mathit \nu}_{{e}}}$( ${{\overline{\mathit \nu}}_{{\mu}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$) in a Wide Band Neutrino Beam