(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'' $\Delta \mathit m{}^{2}$ ( ${{\mathit \nu}_{{\mu}}}$ ( ${{\overline{\mathit \nu}}_{{\mu}}}$ ) $\rightarrow$ ${{\mathit \nu}_{{e}}}$ ( ${{\overline{\mathit \nu}}_{{e}}}$ ))

INSPIRE  
VALUE ($ 10^{-3} $) CL% DOCUMENT ID TECN  COMMENT
$\bf{<1.8}$ 90 1
ROMOSAN
1997
CCFR FNAL
• • We do not use the following data for averages, fits, limits, etc. • •
$<3.8$ 90 2
MCFARLAND
1995
CCFR FNAL
$<3$ 90
BORODOVSKY
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