Limit on ${{\mathit W}_{{{L}}}}-{{\mathit W}_{{{R}}}}$ Mixing Angle $\zeta $

INSPIRE   JSON  (beta) PDGID:
S056WRZ
Lighter mass eigenstate ${{\mathit W}_{{{1}}}}$ = ${{\mathit W}_{{{L}}}}$cos $\zeta −{{\mathit W}_{{{R}}}}$sin$\zeta $. Light ${{\mathit \nu}_{{{R}}}}$ assumed unless noted. Values in brackets are from cosmological and astrophysical considerations.
VALUE CL% DOCUMENT ID TECN  COMMENT
• • We do not use the following data for averages, fits, limits, etc. • •
$-0.020\text{ to }0.017 $ 90
BUENO
2011
TWST ${{\mathit \mu}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}}{{\overline{\mathit \nu}}}$
$<0.022$ 90
MACDONALD
2008
TWST ${{\mathit \mu}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}}{{\overline{\mathit \nu}}}$
$<0.12$ 95 1
ACKERSTAFF
1999D
 OPAL ${{\mathit \tau}}$ decay
$<0.013$ 90 2
CZAKON
1999
RVUE Electroweak
$<0.0333$ 3
BARENBOIM
1997
RVUE ${{\mathit \mu}}$ decay
$<0.04$ 90 4
MISHRA
1992
CCFR ${{\mathit \nu}}{{\mathit N}}$ scattering
$-0.0006\text{ to }0.0028 $ 90 5
AQUINO
1991
RVUE
$\text{[none 0.00001 - 0.02]}$ 6
BARBIERI
1989B
 ASTR SN 1987A
$<0.040$ 90 7
JODIDIO
1986
ELEC ${{\mathit \mu}}$ decay
$-0.056\text{ to }0.040 $ 90 7
JODIDIO
1986
ELEC ${{\mathit \mu}}$ decay
1  ACKERSTAFF 1999D limit is from ${{\mathit \tau}}$ decay parameters.
2  CZAKON 1999 perform a simultaneous fit to charged and neutral sectors.
3  The quoted limit is from ${{\mathit \mu}}$ decay parameters. BARENBOIM 1997 also evaluate limit from ${{\mathit K}_{{{L}}}}-{{\mathit K}_{{{S}}}}$ mass difference.
4  MISHRA 1992 limit is from the absence of extra large-$\mathit x$, large-$\mathit y$ ${{\overline{\mathit \nu}}_{{{\mu}}}}$ ${{\mathit N}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{{\mu}}}}$ X events at Tevatron, assuming left-handed ${{\mathit \nu}}$ and right-handed ${{\overline{\mathit \nu}}}$ in the neutrino beam. The result gives $\zeta {}^{2}(1−2{{\mathit m}^{2}}_{{{\mathit W}_{{{1}}}}}/{{\mathit m}^{2}}_{{{\mathit W}_{{{2}}}}})<0.0015$. The limit is independent of ${{\mathit \nu}_{{{R}}}}$ mass.
5  AQUINO 1991 limits obtained from neutron lifetime and asymmetries together with unitarity of the CKM matrix. Manifest left-right asymmetry is assumed.
6  BARBIERI 1989B limit holds for ${\mathit m}_{{{\mathit \nu}_{{{R}}}}}{}\leq{}$10 MeV.
7  First JODIDIO 1986 result assumes ${\mathit m}_{{{\mathit W}_{{{R}}}}}=\infty{}$, second is for unconstrained ${\mathit m}_{{{\mathit W}_{{{R}}}}}$.
References