(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.

$\Delta \boldsymbol m{}^{2}$ 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
KAMI Water Cherenkov
$\text{<4.2 or >54.}$ 90
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.
OYAMA 1989
PR D39 1481 Experimental Study of Upward Going Muons in Kamiokande
PR D38 768 Contained Neutrino Interactions in an Underground Water Detector