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Context. Accurate model predictions including the physics of baryons arerequired to make the most of the upcoming large cosmological surveys devoted togravitational lensing. The advent of hydrodynamical cosmological simulationsenables such predictions on sufficiently sizeable volumes. Aims. Lensingquantities (deflection, shear, convergence) and their statistics (convergencepower spectrum, shear correlation functions, galaxy-galaxy lensing) arecomputed in the past lightcone built in the Horizon-AGN hydrodynamicalcosmological simulation, which implements our best knowledge on baryonicphysics at the galaxy scale in order to mimic galaxy populations over cosmictime. Methods. Lensing quantities are generated over a one square degree fieldof view by performing multiple-lens plane ray-tracing through the lightcone,taking full advantage of the 1 kpc resolution and splitting the line of sightover 500 planes all the way to redshift z~7. Two methods are explored (standardprojection of particles with adaptive smoothing, and integration of theacceleration field) to assert a good implementation. The focus is on smallscales where baryons matter most. Results. Standard cosmic shear statistics areimpacted at the 10% level by the baryonic component for angular scales below afew arcmin. The galaxy-galaxy lensing signal, or galaxy-shear correlationfunction, is consistent with measurements for the redshift z~0.5 massive galaxypopulation. At higher redshift z>1, the impact of magnification bias on thiscorrelation is relevant for separations greater than 1 Mpc. Conclusions. Thiswork is pivotal for all current and upcoming weak lensing surveys andrepresents a first step towards building a full end-to-end generation of lensedmock images from large cosmological hydrodynamical simulations.

Weak lensing in the Horizon-AGN simulation lightcone. Small scale baryonic effects