The two pion decay modes of neutral kaons can be decomposed into a
and
amplitude. This allows to make use
of the fact that the
amplitude is the dominant decay mode
of neutral kaons:
Allowing for violation in the
amplitudes,
we can write (use
) :
where are the weak decay amplitudes,
the strong interaction phase shifts and
violating
amplitudes.
Assuming only small violation, we can write for any CP=+1
final state:
In addition to violation occuring in
mixing
we get two additional terms:
For the and
final states, we obtain by using
only terms linear in
(
):
with
or using eq.34:
with
using that and therefore
.
In the limit of a dominating violation in the
amplitude, e.g.
, we can write: