Dispersive Treatment of K --> Pi Pi

Details Dispersive Treatment of K --> Pi Pi Dispersive Treatment of K --> Pi Pi

2002-09-24

arxiv.org/abs/hep-ph/0209289v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 4 pages, 1 figure

Scientific paper

We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in which the weak Hamiltonian carries momentum. The soft pion theorem, which relates this amplitude to the K -> pi amplitude, can be used to determine one of the two subtraction constants - the second constant is at present known only to leading order in chiral perturbation theory.

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