ar X iv : h ep - p h / 02 09 28 9 v 1 2 4 Se p 20 02 DISPERSIVE TREATMENT OF K → ππ
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چکیده
We discuss a new method to treat the K → ππ amplitude dispersively, taking into full account the effects of final state interatcions. Our approach is based on a set of dispersion relations for the K → ππ amplitude, in which the weak Hamiltonian carries momentum. In these dispersion relations two subtraction constants have to be introduced, whereby one can be related via a soft pion theorem to the K → π amplitude. The second is presently unknown, and we use lowest order Chiral Perturbation Theory for a first guess of it's value. We emphasize the advantage of combining this approach with lattice input which could provide the two subtraction constants with sufficient accuracy.
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