Weak lensing light-cones in modified gravity simulations with and without massive neutrinos

cosmological N-body simulations called the DUSTGRAINpathfinder,i m p l e m e n t i n gs i m u l t a n e o u s l yt h ee f f e c t so fa ne x t e n s i o nt og e n e r a lr e l a t i v i t yi n the form of f(R)g r a v i t ya n do fan o n -n e g l i g i b l ef r a c t i o no fm a s s i v en e u t r i n o s .W ed e s c r i b e the generation of simulated weak lensing and cluster counts observables within a past lightcone extracted from these simulations. The simulations have been performed by means of ac o m b i n a t i o no ft h eM G -G A D G E Tc o d ea n dap a r t i c l e -b a s e di m p l e m e n t a t i o no fm a s s i v e neutrinos, while the light-cones have been generated using the MAPSIM pipeline allowing us to compute weak lensing maps through a ray-tracing algorithm for different values of the source plane redshift. The mock observables extracted from our simulations will be employed for a series of papers focused on understanding and possibly breaking the well-known observational degeneracy between f(R)g r a v i t ya n dm a s s i v en e u t r i n o s ,i . e .t h ef a c tt h a ts o m e specific combinations of the characteristic parameters for these two phenomena (the f R0 scalar amplitude and the total neutrino mass m )m a yr e s u l ti n d i s t i n g u i s h a b l ef r o mt h es t a n d a r d CDM cosmology through several standard observational probes. In particular, in this work we show how a tomographic approach to weak lensing statistics could allow -especially for the next generation of wide-field surveys -to disentangle some of the models that appear statistically indistinguishable through standard single-redshift weak lensing probe.