(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.

$\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 ( ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$)

INSPIRE   PDGID:
S067D1
VALUE (eV${}^{2}$) CL% DOCUMENT ID TECN  COMMENT
• • We do not use the following data for averages, fits, limits, etc. • •
$0.03\text{ to }0.55 $ 90 1
AGUILAR-AREVA..
2021
MBNE MiniBooNE ${{\mathit \nu}},{{\overline{\mathit \nu}}}$ combined
$0.03\text{ to }0.05 $ 90 2
AGUILAR-AREVA..
2018C
 MBNE MiniBooNE ${{\mathit \nu}},{{\overline{\mathit \nu}}}$ combined
$0.015\text{ to }0.050 $ 90 3
AGUILAR-AREVA..
2013A
 MBNE MiniBooNE
$<0.34$ 90 4
MAHN
2012
MBNE MiniBooNE/SciBooNE
$<0.034$ 90
AGUILAR-AREVA..
2007
MBNE MiniBooNE
$<0.0008$ 90
AHN
2004
K2K Water Cherenkov
$<0.4$ 90
ASTIER
2003
NOMD CERN SPS
$<2.4$ 90
AVVAKUMOV
2002
NTEV NUTEV FNAL
5
AGUILAR
2001
LSND ${{\mathit \nu}}$ ${{\mathit \mu}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$ osc.prob.
$0.03\text{ to }0.3 $ 95 6
ATHANASSOPOUL..
1998
LSND ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$
$<2.3$ 90 7
LOVERRE
1996
CHARM/CDHS
$<0.9$ 90
VILAIN
1994C
 CHM2 CERN SPS
$<0.09$ 90
ANGELINI
1986
HLBC BEBC CERN PS
1  AGUILAR-AREVALO 2021 result is based on a total of $18.75 \times 10^{20}$ POT in neutrino mode, and $11.27 \times 10^{20}$ POT in anti-neutrino mode. Best fit at 0.043 eV${}^{2}$. The allowed region does not extend to large $\Delta $m${}^{2}$. The quoted value is the entire allowed region of $\Delta $m${}^{2}$ at 90$\%$ C.L. for all values of sin$^2(2\theta )$. Supersedes AGUILAR-AREVALO 2018C.
2  AGUILAR-AREVALO 2018C result is based on ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$ appearance of $460.5$ $\pm99.0$ events; The best fit value is $\Delta $m${}^{2}$ = 0.041 eV${}^{2}$. Superseded by AGUILAR-AREVALO 2021.
3  AGUILAR-AREVALO 2013A result is based on ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$ appearance of $162.0$ $\pm47.8$ events; marginally compatible with twoneutrino oscillations. The best fit value is $\Delta $m${}^{2}$ = 3.14 eV${}^{2}$.
4  MAHN 2012 is a combined spectral fit of MiniBooNE and SciBooNE neutrino data with the range of $\Delta $m${}^{2}$ up to 25 eV${}^{2}$. The best limit is 0.04 at 7 eV${}^{2}$.
5  AGUILAR 2001 is the final analysis of the LSND full data set. Search is made for the ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$ oscillations using ${{\mathit \nu}_{{{\mu}}}}$ from ${{\mathit \pi}^{+}}$ decay in flight by observing beam-on electron events from ${{\mathit \nu}_{{{e}}}}$ ${}^{}\mathrm {C}$ $\rightarrow$ ${{\mathit e}^{-}}{{\mathit X}}$. Present analysis results in $8.1$ $\pm12.2$ $\pm1.7$ excess events in the 60$<\mathit E_{{{\mathit e}}}<200$ MeV energy range, corresponding to oscillation probability of $0.10$ $\pm0.16$ $\pm0.04\%$. This is consistent, though less significant, with the previous result of ATHANASSOPOULOS 1998, which it supersedes. The present analysis uses selection criteria developed for the decay at rest region, and is less effective in removing the background above 60 MeV than ATHANASSOPOULOS 1998.
6  ATHANASSOPOULOS 1998 is a search for the ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$ oscillations using ${{\mathit \nu}_{{{\mu}}}}$ from ${{\mathit \pi}^{+}}$ decay in flight. The 40 observed beam-on electron events are consistent with ${{\mathit \nu}_{{{e}}}}$ ${}^{}\mathrm {C}$ $\rightarrow$ ${{\mathit e}^{-}}$ X; the expected background is $21.9$ $\pm2.1$. Authors interpret this excess as evidence for an oscillation signal corresponding to oscillations with probability ($0.26$ $\pm0.10$ $\pm0.05)\%$. Although the significance is only $2.3~\sigma $, this measurement is an important and consistent cross check of ATHANASSOPOULOS 1996 who reported evidence for ${{\overline{\mathit \nu}}_{{{\mu}}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{e}}}}$ oscillations from ${{\mathit \mu}^{+}}$ decay at rest. See also ATHANASSOPOULOS 1998B.
7  LOVERRE 1996 uses the charged-current to neutral-current ratio from the combined CHARM (ALLABY 1986) and CDHS (ABRAMOWICZ 1986) data from 1986.
References