# Peak and kink search tests INSPIRE search

Limits on $\vert \mathit U_{{{\mathit e}}\mathit x}\vert ^2$ as function of ${\mathit m}_{{{\mathit \nu}_{{j}}}}$
VALUE CL% DOCUMENT ID TECN  COMMENT
$\bf{<1 \times 10^{-7}}$ 90 1
 1992 B
CNTR 50 MeV $<$ ${\mathit m}_{{{\mathit \nu}_{{x}}}}<$ 130 MeV
• • • We do not use the following data for averages, fits, limits, etc. • • •
$<5 \times 10^{-6}$ 90
 1991
${\mathit m}_{{{\mathit \nu}_{{x}}}}$=20 MeV
$<5 \times 10^{-7}$ 90
 1991
${\mathit m}_{{{\mathit \nu}_{{x}}}}$=40 MeV
$<3 \times 10^{-7}$ 90
 1991
${\mathit m}_{{{\mathit \nu}_{{x}}}}$=60 MeV
$<1 \times 10^{-6}$ 90
 1991
${\mathit m}_{{{\mathit \nu}_{{x}}}}$=80 MeV
$<1 \times 10^{-6}$ 90
 1991
${\mathit m}_{{{\mathit \nu}_{{x}}}}$=100 MeV
$<5 \times 10^{-7}$ 90
 1986
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=60 MeV
$<2 \times 10^{-7}$ 90
 1986
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=80 MeV
$<3 \times 10^{-7}$ 90
 1986
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=100 MeV
$<1 \times 10^{-6}$ 90
 1986
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=120 MeV
$<2 \times 10^{-7}$ 90
 1986
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=130 MeV
$<1 \times 10^{-4}$ 90 2
 1983 B
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=5 MeV
$<1.5 \times 10^{-6}$ 90
 1983 B
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=53 MeV
$<1 \times 10^{-5}$ 90
 1983 B
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=70 MeV
$<1 \times 10^{-4}$ 90
 1983 B
CNTR ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=130 MeV
$<1 \times 10^{-4}$ 68 3
 1981
THEO ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=10 MeV
$<5 \times 10^{-6}$ 68 3
 1981
THEO ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=60 MeV
$<1 \times 10^{-5}$ 68 4
 1980
THEO ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=80 MeV
$<3 \times 10^{-6}$ 68 4
 1980
THEO ${\mathit m}_{{{\mathit \nu}_{{x}}}}$=160 MeV
1  BRITTON 1992B is from a search for additional peaks in the ${{\mathit e}^{+}}$ spectrum from ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ decay at TRIUMF. See also BRITTON 1992 .
2  BRYMAN 1983B obtain upper limits from both direct peak search and analysis of B( ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}}$ )$/$B( ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \mu}}{{\mathit \nu}}$ ). Latter limits are not listed, except for this entry (i.e. $-$ we list the most stringent limits for given mass).
3  Analysis of ( ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ )$/$( ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$ ) and ( ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ )$/$( ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$ ) decay ratios.
4  Analysis of ( ${{\mathit K}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ ) spectrum.
References:
 BRITTON 1992B
PR D46 885 Improved Search for Massive Neutrinos in ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}}$ Decay
 DELEENER-ROSIER 1991
PR D43 3611 Search for Massive Neutrinos in ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit e}^{-}}{{\mathit \nu}}$ Decay
 AZUELOS 1986
PRL 56 2241 Constraints on Massive Neutrinos in ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ Decay
 BRYMAN 1983B
PRL 50 1546 Search for Massive Neutrinos in ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ Decays
 SHROCK 1981
PR D24 1232 General Theory of Weak Processes Involving Neutrinos. 1. Leptonic Pseudoscalar Meson Decays, with Associated Tests for, and Bounds on, Neutrino Masses and Lepton Mixing
 SHROCK 1980
PL 96B 159 New Tests for, and Bounds on, Neutrino Masses and Lepton Mixing
 BRITTON 1992
PRL 68 3000 Measurement of the ${{\mathit \pi}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}}$ Branching Ratio