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10 The impact of DANE on CPT violating parameters

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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 DANE 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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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.



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Next: References Up: Chpter 1 Section 1 Previous: 9 Comparison with present



Carlos E.Piedrafita