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Radial redshift-space distortions due to peculiar velocities and otherlight-cone effects shape the maps we build of the Universe. We address the openquestion of their impact onto the monopole moment of the galaxy power spectrum,$P_0(k)$. Specifically, we use an upgraded numerical implementation of theLIGER method to generate $140$ mock galaxy density fields for a fullEuclid-like survey and we measure $P_0(k)$ in each of them utilising a standardestimator. We compare the spectra obtained by turning on and off differenteffects. Our results show that wide-angle effects due to radial peculiarvelocities generate excess power above the level expected within theplane-parallel approximation. They are detectable with a signal-to-noise ratioof 2.7 for $k<0.02\,h$ Mpc$^{-1}$. Weak-lensing magnification also producesadditional power on large scales which, if the current favourite model for theluminosity function of H$\alpha$ emitters turns out to be realistic, can onlybe detected with a signal-to-noise ratio of 1.3 at best. Finally, wedemonstrate that measuring $P_0(k)$ in the standard of rest of the observergenerates an additive component reflecting the kinematic dipole overdensitycaused by the peculiar velocity. This component is characterised by a dampedoscillatory pattern on large scales. We show that this `finger of the observer'effect is detectable in some redshift bins and suggest that its measurementcould possibly open new research directions in connection with thedetermination of the cosmological parameters, the properties of the galaxypopulation under study, and the dipole itself.

The large-scale monopole of the power spectrum in a Euclid-like survey: wide-angle effects, lensing, and the `finger of the observer'