We provide a dispersion-theoretical representation of the reaction amplitudes γK → Kπ in all charge channels, based on modern pion-kaon Pwave phase shift input. Crossed-channel singularities are fixed from phenomenology as far as possible. We demonstrate how the subtraction constants can be matched to a low-energy theorem and radiative couplings of the K * (892) resonances, thereby providing a model-independent framework for future analyses of high-precision kaon Primakoff data.
IntroductionThe Wess-Zumino-Witten anomaly [1,2] provides QCD predictions for processes of odd intrinsic parity at low energies. The textbook example is the two-photon decay of the neutral pion [3-5], which is determined, at zero quark masses, by the elementary charge, e, and the pion decay constant, F π . The next-more-complicated reactions involving strong and electromagnetic interactions only are three-pseudoscalars-photon processes [6] such as γπ → ππ, or η → ππγ. Low-energy theorems for these are of a very similar structure, i.e., they provide parameter-free predictions in terms of e and F π , e.g.for γπ → ππ [7][8][9]. This reaction can be investigated experimentally in a Primakoff reaction [10], with a charged-pion beam scattered off the Coulomb field of a heavy nucleus. Such experiments have been performed, with the objective to test the prediction of Eq.