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Cosmic voids are a powerful probe of cosmology and are one of the coreobservables of upcoming galaxy surveys. The cross-correlations between voidsand other large-scale structure tracers such as galaxy clustering and galaxylensing have been shown to be very sensitive probes of cosmology and among themost promising to probe the nature of gravity and the neutrino mass. However,recent measurements of the void imprint on the lensed Cosmic MicrowaveBackground (CMB) have been shown to be in tension with expectations based onLCDM simulations, hinting to a possibility of non-standard cosmologicalsignatures due to massive neutrinos. In this work we use the DEMNUnicosmological simulations with massive neutrino cosmologies to study theneutrino impact on voids selected in photometric surveys, e.g. via Luminous RedGalaxies, as well as on the void- CMB lensing cross-correlation. We show howthe void properties observed in this way (size function, profiles) are affectedby the presence of massive neutrinos compared to the neutrino massless case,and show how these can vary as a function of the selection method of the voidsample. We comment on the possibility for massive neutrinos to be the source ofthe aforementioned tension. Finally, we identify the most promising setup todetect signatures of massive neutrinos in the voids-CMB lensingcross-correlation and define a new quantity useful to distinguish amongdifferent neutrino masses by comparing future observations against predictionsfrom simulations including massive neutrinos.

DEMNUni: The imprint of massive neutrinos on the cross-correlation between cosmic voids and CMB lensing