Isospin breaking corrections to low-energy pi-K scattering

Abstract

We evaluate the matrix elements for the processes pi^0 K^0 -> pi^0 K^0 and pi^- K^+ -> pi^0 K^0 in the presence of isospin breaking terms at leading and next-to-leading order. As a direct application the releveant combination of the S-wave scattering lengths involved in the pion-kaon atom lifetime is determined. We discuss the sensitivity of the results with respect to the input parameters.

33 pages, plain latex, 2 figures

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• $\pi K$ Scattering in Three Flavour ChPT
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Investigation of a0-f0 mixing
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Decay widths and energy shifts of pi pi and pi K atoms
• Isospin symmetry breaking and baryon-isospin correlations from Polyakov$-$Nambu$-$Jona-Lasinio model
• Explicit generating functional for pions and virtual photons
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• The chiral logs of the K -> pi pi amplitude
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• Chiral Nonet Mixing in $\pi K$ Scattering
• Energy and decay width of the pi-K atom
• Chiral dynamics with strange quarks: Mysteries and opportunities