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# Neutrino Mixing

 See related reviews: Introductory Text to Neutrino Mixing Three-Neutrino Mixing Parameters
(A) Neutrino fluxes and event ratios
 Events (observed/expected) from accelerator ${{\mathit \nu}_{{\mu}}}$ experiments.
 Events (observed/expected) from reactor ${{\overline{\mathit \nu}}_{{e}}}$ experiments.
Atmospheric neutrinos
 R(${{\mathit \mu}}/{{\mathit e}}$) = (Measured Ratio ${{\mathit \mu}}/{{\mathit e}}$) $/$ (Expected Ratio ${{\mathit \mu}}/{{\mathit e}}$)
 R(${{\mathit \nu}_{{\mu}}}$) = (Measured Flux of ${{\mathit \nu}_{{\mu}}}$) $/$ (Expected Flux of ${{\mathit \nu}_{{\mu}}}$)
 R(${{\mathit \mu}}$/total) = (Measured Ratio ${{\mathit \mu}}$/total) $/$ (Expected Ratio ${{\mathit \mu}}$/total)
 $\mathit N_{{\mathrm {up}}}({{\mathit \mu}})/\mathit N_{{\mathrm {down}}}({{\mathit \mu}}$)
 $\mathit N_{{\mathrm {up}}}({{\mathit e}})/\mathit N_{{\mathrm {down}}}({{\mathit e}}$)
 R(up/down; ${{\mathit \mu}}$) = (Measured up/down; ${{\mathit \mu}}$) $/$ (Expected up/down; ${{\mathit \mu}}$)
 N(${{\mathit \mu}^{+}})/N({{\mathit \mu}^{-}}$)
 R(${{\mathit \mu}^{+}}/{{\mathit \mu}^{-}}$) = (Measured N(${{\mathit \mu}^{+}})/N({{\mathit \mu}^{-}}$)) $/$ (Expected N(${{\mathit \mu}^{+}})/N({{\mathit \mu}^{-}}$))
Solar neutrinos
 ${{\mathit \nu}_{{e}}}$ Capture Rates from Radiochemical Experiments
 $\phi _{\mathit ES}$ (${}^{8}\mathrm {B}$)
 $\phi _{\mathit CC}$ (${}^{8}\mathrm {B}$)
 $\phi _{\mathit NC}$ (${}^{8}\mathrm {B}$)
 $\phi _{{{\mathit \nu}_{{\mu}}}+{{\mathit \nu}_{{\tau}}}}$ (${}^{8}\mathrm {B}$)
 Total Flux of Active ${}^{8}\mathrm {B}$ Solar Neutrinos
 Day-Night Asymmetry (${}^{8}\mathrm {B}$) $0.033 \pm0.011$
 $\phi _{\mathit ES}$ (${}^{7}\mathrm {Be}$)
 $\phi _{\mathit ES}$ ( ${{\mathit p}}{{\mathit e}}{{\mathit p}}$ )
 $\phi _{\mathit ES}$ (CNO)
 $\phi _{ES}({{\mathit p}{\mathit p}}$)
 $\phi _{CC}({{\mathit p}{\mathit p}}$)
 $\phi _{\mathit ES}$ (hep)
 $\phi _{{{\overline{\mathit \nu}}_{{e}}}}$ (${}^{8}\mathrm {B}$)
(B) Three-neutrino mixing parameters
 sin$^2(\theta _{12})$ $0.307 \pm0.013$
 $\Delta$m${}^{2}_{21}$ $(7.53 \pm0.18) \times 10^{-5}$ eV${}^{2}$
 sin$^2(\theta _{23})$ $0.417 {}^{+0.025}_{-0.028}$  (S = 1.2)  ...
 $\Delta$m${}^{2}_{32}$ $0.00251 \pm0.00005$ eV${}^{2}$ (S = 1.1)  ...
 sin$^2(\theta _{13})$ $0.0212 \pm0.0008$
$\boldsymbol CP$ violating phase
 $\delta$, $\mathit CP$ violating phase
(C) Other neutrino mixing results
 $\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 ( ${{\mathit \nu}_{{\mu}}}$ $\rightarrow$ ${{\mathit \nu}_{{e}}}$ )
 sin$^2(2{}\theta )$ for Large'' $\Delta \mathit m{}^{2}$ ( ${{\mathit \nu}_{{\mu}}}$ $\rightarrow$ ${{\mathit \nu}_{{e}}}$ )
 $\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 ( ${{\overline{\mathit \nu}}_{{\mu}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ )
 sin$^2(2{}\theta )$ for Large'' $\Delta \mathit m{}^{2}$ ( ${{\overline{\mathit \nu}}_{{\mu}}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ )
 $\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 ( ${{\mathit \nu}_{{\mu}}}$ ( ${{\overline{\mathit \nu}}_{{\mu}}}$ ) $\rightarrow$ ${{\mathit \nu}_{{e}}}$ ( ${{\overline{\mathit \nu}}_{{e}}}$ )) $<0.075$ eV${}^{2}$  CL=90.0%
 sin$^2(2{}\theta )$ for Large'' $\Delta \mathit m{}^{2}$ ( ${{\mathit \nu}_{{\mu}}}$ ( ${{\overline{\mathit \nu}}_{{\mu}}}$ ) $\rightarrow$ ${{\mathit \nu}_{{e}}}$ ( ${{\overline{\mathit \nu}}_{{e}}}$ )) $<1.8 \times 10^{-3}$   CL=90.0%
 $\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 ( ${{\overline{\mathit \nu}}_{{e}}}$ $\nrightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ )
 sin$^2(2{}\theta )$ for Large'' $\Delta \mathit m{}^{2}$ ( ${{\overline{\mathit \nu}}_{{e}}}$ $\nrightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ )
Sterile neutrino limits
 $\Delta \mathit m{}^{2}$ for sin$^2(2{}\theta )$ = 1 (${{\mathit \nu}_{{\mu}}}$ $\rightarrow$ ${{\mathit \nu}_{{s}}}$)
 Search for ${{\mathit \nu}_{{\mu}}}$ or ${{\mathit \nu}_{{e}}}$ $\rightarrow$ ${{\mathit \nu}_{{s}}}$
$\boldsymbol CPT$ tests
 $\langle \Delta {{\mathit m}^{2}}_{\mathrm {21}}−\Delta {{\overline{\mathit m}}}{}^{2}_{21}\rangle$
 $\langle \Delta {{\mathit m}^{2}}_{\mathrm {32}}−\Delta {{\overline{\mathit m}}}{}^{2}_{32}\rangle$