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We perform a combined analysis of antikaon-nucleon scattering cross sectionsand the recent SIDDHARTA kaonic hydrogen data in the framework of acoupled-channel Bethe-Salpeter approach at next-to-leading order in the chiralexpansion of the effective potential. We find a precise description of theantikaon-proton scattering amplitudes and are able to extract accurate valuesof the scattering lengths, a0=-1.81^+0.30_-0.28 + i 0.92^+0.29_-0.23 fm,a1=+0.48^+0.12_-0.11 + i 0.87^+0.26_-0.20 fm. We also discuss the two-polestructure of the Lambda(1405).

New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)