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In Schemes II and III, the presence of the new parameters
b, c and d, in the semileptonic sector considerably complicates
the situation, with respect to what found in the previous Section.
Eq. (9.9) still holds for , i.e.:
but the present data give a bound only to the combination , which raises the possibility that the smallness of the
r.h.s. of (9.7) may be due to (fortuitous?) cancellations of larger effects.
As pointed out in Ref. [1], the observation of correlated
decays at DA
NE will permit to disentangle the individual CPT violating
parameters, in Scheme II. In the last instance, this is made possible
by the fact that
decay provides a beam of tagged
. With reference
to the integrated luminosity of the present Report (
cm
sec
for an effective year of
sec) one estimates
a yearly production of
K
, which corresponds to a
statistical error on the asymmetry
, Eq. (6.16):
As seen from Eqs. (6.12) to (6.16), the observation of the three possible
semileptonic asymmetries allows a separate determination of the three
parameters: ,
and
. The
same conclusion is reached starting from the measurement of
and of the CP-conserving asymmetry,
.
In Scheme II, , while
is still given by Eq. (9.9), and we succeed in disentangling
from
, as anticipated. The
observation of correlated
semileptonic and hadronic decays allows, in addition, to determine the phase of
, which, in Scheme II, gives a further check of the
imaginary part of
.
In Scheme III, the phases of determine
and
, but the determination of
is no more
sufficient to fix
, if we allow a non vanishing value of
.
A conspiracy between CPT-violating parameters in and
amplitudes may seem unlikely. It remains that, in this
situation, a full separation of
from the other parameters requires a
further experimental input. One possibility is given by experiments where a
K
(or
) can be tagged on the basis of the strangeness, like e.g.
in CP-LEAR, rather than the semileptonic decay. In this case, we have access
to the further experimental quantity:
which is sensitive to , for small times. The
imaginary parts of a and b remain undetermined, at this level.
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Acknowledgements truecm
I am indebted to all participants in the DANE Theory Workshop for very
enlightening discussions. In particular, I would like to thank Paolo Franzini,
Nello Paver and Alessandra Pugliese. This work has been partly
done while visiting CERN. I thank the Theory Division for hospitality.