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$\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 ( ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$)
(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.
1AGUILAR-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.
2AGUILAR-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 Superseded by AGUILAR-AREVALO 2021.
3AGUILAR-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${}^{2}$.
4MAHN 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${}^{2}$.
5AGUILAR 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.
6ATHANASSOPOULOS 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.
Updated MiniBooNE neutrino oscillation results with increased data and new background studies
AGUILAR-AREVALO
2018C
PRL 121 221801
Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
AGUILAR-AREVALO
2013A
PRL 110 161801
Improved Search for ${{\overline{\mathit \nu}}_{{{\mu}}}}\leftrightarrow{{\overline{\mathit \nu}}_{{{e}}}}$ Oscillations in the MiniBooNE Experiment
MAHN
2012
PR D85 032007
Dual Baseline Search for Muon Neutrino Disappearance at 0.5 eV${}^{2}$ < $\Delta $m${}^{2}$ < 40 eV${}^{2}$
AGUILAR-AREVALO
2007
PRL 98 231801
Search for Electron Neutrino Appearance at the $\Delta \mathit m{}^{2}\sim{}$1 eV${}^{2}$ Scale
AHN
2004
PRL 93 051801
Search for Electron Neutrino Appearance in 250 km Long-baseline Experiment
ASTIER
2003
PL B570 19
Search for ${{\mathit \nu}_{{{\mu}}}}$ $\rightarrow$ ${{\mathit \nu}_{{{e}}}}$ Oscillations in the NOMAD Experiment
AVVAKUMOV
2002
PRL 89 011804
A Search for ${{\mathit \nu}_{{{\mu}}}}-{{\mathit \nu}_{{{e}}}}$ and ${{\overline{\mathit \nu}}_{{{\mu}}}}-{{\overline{\mathit \nu}}_{{{e}}}}$ Oscillations at NUTeV
AGUILAR
2001
PR D64 112007
Evidence for Neutrino Oscillations from the Observation of ${{\overline{\mathit \nu}}_{{{e}}}}$ Appearance in a ${{\overline{\mathit \nu}}_{{{\mu}}}}$ Beam
ATHANASSOPOULOS
1998
PRL 81 1774
Evidence for ${{\mathit \nu}_{{{\mu}}}}$ $\leftrightarrow$ ${{\mathit \nu}_{{{e}}}}$ Oscillations from the LSND
LOVERRE
1996
PL B370 156
Limits on ${{\mathit \nu}_{{{\mu}}}}$ Oscillations from the Measurement of the Ratio of 0${{\mathit \mu}^{\pm}}$ to 1${{\mathit \mu}^{\pm}}$ Events at the CERN Narrow Band Neutrino Beam
VILAIN
1994C
ZPHY C64 539
Search for Muon to Electron Neutrino Oscillations
ANGELINI
1986
PL B179 307
New Experimental Limits on ${{\mathit \nu}_{{{\mu}}}}$ $\leftrightarrow$ ${{\mathit \nu}_{{{e}}}}$ Oscillations
