(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
OYAMA
1989
KAMI Water Cherenkov
$\text{<4.2 or >54.}$ 90
BIONTA
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