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We adopt a novel formalism for the low-energy analysis of the $\gamma p \toK^{+}\pi\Sigma$ photoproduction reaction to calculate the $\pi\Sigma$ invariantmass distributions in the $\Lambda(1405)$ resonance region. The approachadheres to constraints arising from unitarity, gauge invariance and chiralperturbation theory, and is used without adjusting any model parameters. It isfound that the meson-baryon rescattering in the final state has a major impacton the magnitude and structure of the generated spectra that are compared withthe experimental data from the CLAS collaboration. We demonstrate a largesensitivity of the theoretical predictions to the choice of the coupled-channel$\pi\Sigma - \bar{K}N$ model amplitudes which should enable one to constrainthe parameter space of these models.

Testing chiral unitary models for the $\Lambda(1405)$ in $K^{+}\pi\Sigma$ photoproduction