Abstract
We use chiral perturbation theory to evaluate the scattering amplitude for the process \(\pi^+K^-\rightarrow\pi^+K^-\) at leading and next-to-leading orders in the chiral counting and in the presence of isospin breaking effects. We also discuss the influence of the latter on the combination of the \(S\)-wave \(\pi K\) scattering lengths which is relevant for the 2S–2P energy level shift of \(K\pi\) atoms.
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