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There are two possible methods to detect NWI in
. The first is to observe
parity violation, and the second to measure the weak corrections to
.
We discuss these in turn.
We shall neglect final-state interactions in
energy asymmetries can
occur only in the presence of
violation and final state interactions
[19,20] if
invariance holds. The
possible correlations are then [20] (
) is some spin vector,
some momentum):
(3) must be zero, since the momenta are coplanar in this case, (1) may be measurable in the case
, by analysing the decay electron momentum to find the polarization (9). These asymmetries may occur at the
level in the Weinberg-Salam model.
is thought to proceed mainly by a
intermediate state (10). Llewellyn Smith [21] obtains
but uses a Lagrangian
which forces
to be in an S-wave, and thus suppresses the rate by a
factor of
. Cheng [22] considers
various vector meson dominance models, and concludes that
. We give his
in fig. 5. Fig. 3 gives
. We note that non-vector NWI would modify the tail of
.
Our analysis for the NWI mechanism in
follows closely that in subsect.
4.4 for
. Now
is not
forbidden but merely suppressed by
. In the Weinberg-Salam model, we
obtain
(pure weak)
and
(weak-electromagnetic interference)
, and slightly more for tensor NWI. Probably, no
decay has been observed, and the present limit is
[23].
The electromagnetic part of
has never been calculated: from Llewellyn
Smith's results we obtain
. No such estimate is possible in Cheng's
model from existing calculations, since he takes
. Experimentally
[24] -- not far above the theoretical
estimate. NWI contributions will tend to be suppressed in
compared to
. We obtain
(weak-electromagnetic)
.
We expect
,
. The
present experimental bounds are [10]
and
respectively.