Wolfenstein suggested a rather convenient approximate parameterization of hte CKM matrix [9],
where there are four parameters,
and
, that have to be obtained from experiment. Of the four,
and A are relatively well determined; less is know about
and
.
The parameter
, which is the sine of the Cabibbo angle,
is determined
from strange particle decays (
) [10, 11], nuclear
decay (
) [12], and the production
of charm in
interactions (
) [13, 14] to be
The semileptonic width of the B meson, determined from its lifetime
and semileptonic branching ratio
, yields the best measurement of A [15],
The relative strength of
and
transition in semileptonic B decays [16] determines the ratio
In addition, there are three other constraints on
and
. The strength for
mixing,
, dominated by the t-quark exchange diagram and can be expressed in terms of
as [17]
Here
is the
decay constant and
is the so-called bag parameter--both have theoretical uncertainties. The observed CP violation in the
mass matrix,
, is proportional to
[18],
where
and
are
and
, respectively, and expressions for the functions S and F are given in ref [18].
Limits on direct CP violation in
S = 1
decays (
) can be translated to limits on
given by [19],