# (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.

# $\Delta \boldsymbol m{}^{2}$ for sin$^2(2{}\theta )$ = 1 (${{\boldsymbol \nu}_{{\mu}}}$ $\rightarrow$ ${{\boldsymbol \nu}_{{s}}}$) INSPIRE search

${{\mathit \nu}_{{s}}}$ means ${{\mathit \nu}_{{\tau}}}$ or any sterile (noninteracting) ${{\mathit \nu}}$.
VALUE ($10^{-5}$ eV${}^{2}$) CL% DOCUMENT ID TECN  COMMENT
• • • We do not use the following data for averages, fits, limits, etc. • • •
$\text{<3000 (or <550)}$ 90 1
 1989
KAMI Water Cherenkov
$\text{<4.2 or >54.}$ 90
 1988
IMB Flux has ${{\mathit \nu}_{{\mu}}}$, ${{\overline{\mathit \nu}}_{{\mu}}}$, ${{\mathit \nu}_{{e}}}$, and ${{\overline{\mathit \nu}}_{{e}}}$
1  OYAMA 1989 gives a range of limits, depending on assumptions in their analysis. They argue that the region $\Delta \mathit m{}^{2}$ = (100$-1000){\times }10^{-5}$ eV${}^{2}$ is not ruled out by any data for large mixing.
References:
 OYAMA 1989
PR D39 1481 Experimental Study of Upward Going Muons in Kamiokande
 BIONTA 1988
PR D38 768 Contained Neutrino Interactions in an Underground Water Detector