Abstract
We provide a dispersion-theoretical representation of the reaction amplitudes gamma Krightarrow K pi in all charge channels, based on modern pion–kaon P-wave 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.
Highlights
The Wess–Zumino–Witten anomaly [1,2] provides QCD predictions for processes of odd intrinsic parity at low energies
We have constructed a dispersive representation for the reaction γ K → K π that can be measured with kaon beams using the Primakoff mechanism
Our formalism relies on isospin symmetry and describes all four physical charge channels simultaneously
Summary
The Wess–Zumino–Witten anomaly [1,2] provides QCD predictions for processes of odd intrinsic parity at low energies. J. C (2021) 81:221 the amplitudes for π 0 production to have the exact same value in the chiral limit and at zero energy as the analogous photon–pion reaction, see Eq (1); based on the fundamental principles of analyticity and unitarity, the anomaly can here be related to the radiative couplings of K ∗(892) → K γ [18,19,37]. C (2021) 81:221 the amplitudes for π 0 production to have the exact same value in the chiral limit and at zero energy as the analogous photon–pion reaction, see Eq (1); based on the fundamental principles of analyticity and unitarity, the anomaly can here be related to the radiative couplings of K ∗(892) → K γ [18,19,37] In this manner, our analysis provides a consistent framework to analyze future data, from OKA or COMPASS++/AMBER, in a theoretically sound setting.
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